MATHEMATICS 2022 AVAILABLE IN PRINT AND DIGITALMOREDIGITAL PRODUCTS ON WORLDSCINET
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by Alfred S Posamentier & Beverly Smith (City University of New York, USA) page 11 by Liviu I Nicolaescu (University of Notre Dame, USA) page 11 by Irena Swanson (Purdue University, USA) page 32 by Yossi Elran (Weizmann Institute of Science, Israel) page 26
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by Henk Tijms (Vrije University, The Netherlands) by Mu-Fa Chen (Beijing Normal University, China) & Yong-Hua Mao (Beijing Normal University, China) 6 Tianxin Cai (Zhejiang University, China) page 10 Szymon Dolecki (Mathematical Institute of Burgundy, France) page 17 page 4 by Elena Deza (Moscow State Pedagogical University, Russia) page 9 Ioannis Markos Roussos (Hamline University, USA)
HighlightsHighlightsHighlights Mathematics Catalogue 2022 page 4 by Haynes Miller (Massachusetts Institute of Technology, USA) page 9
by Shigeru Kanemitsu (Kyushu Institute of Technology, Japan), Takako Kuzumaki (Gifu University, Japan) & Jianya Liu University,(ShandongChina) 17
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We have produced these catalogues for the year 2022. Please email us at mkt@wspc.com to request for any of them.
Problems in Linear Algebra and Matrix Theory by Fuzhen Zhang (Nova Southeastern University, USA)
Monographs in Number Theory - Vol 9 Modular and Automorphic Forms & Beyond by Hossein Movasati (IMPA, Brazil)
Readership: Ideal for a beginning graduate course, aimed at students familiar with general topology and basic modern algebra; also good for researchers who need to use the methods of algebraic topology, in mathematics at large and in theoretical physics.
Selected Chapters of Number Theory: Special Numbers
700pp Feb 2022 978-981-124-742-2
This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains about fifty-five examples and many new problems, based on the author’s lecture notes of Advanced Linear Algebra classes at Nova Southeastern University (NSU-Florida) and short lectures Matrix Gems at Shanghai University and Beijing Normal University.
Readership: Advanced undergraduate, graduate students, researchers and the general public interested in Arithmetic, Number Theory, General Algebra, Cryptography and related fields.
US$188 £165
by Haynes Miller (Massachusetts Institute of Technology, USA)
A Fiftieth Anniversary by Louis H Kauffman (University of Illinois Chicago, USA), Fred Cummins (University College Dublin, Ireland), Randolph Dible (The New School for Social Research, USA), Leon Conrad, Graham Ellsbury, Andrew Crompton (University of Liverpool, UK) & Florian Grote (CODE University of Applied Sciences, Germany) Laws of Form is a seminal work in foundations of logic, mathematics and philosophy published by G Spencer-Brown in 1969. The book provides a new point of view on form and the role of distinction, markedness and the absence of distinction (the unmarked state) in the construction of any universe. A conference was held August 8–10, 2019 at the Old Library, Liverpool University, 19 Abercromby Square, L697ZN, UK to celebrate the 50th anniversary of the publication of Laws of Form and to remember George Spencer-Brown, its author. The book is a collection of papers introducing and extending Laws of Form written primarily by people who attended the conference in 2019.
Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.
300pp Oct 2021 978-981-123-285-5(pbk) US$58 £50 978-981-123-124-7 US$138 £120
Series on Knots and Everything - Volume 72 Laws of Form
Mathematics Catalogue 2022 4 ALGEBRA & RELATED TOPICS
200pp Sep 2021 978-981-123-031-8 US$108 £95
This book intends to provide material for a graduate course on computational commutative algebra and algebraic geometry, highlighting potential applications in cryptography. Also, the topics in this book could form the basis of a graduate course that acts as a segue between an introductory algebra course and the more technical topics of commutative algebra and algebraic geometry.
Readership: Academic and scientific readers: undergraduate and graduate students and researchers.
Key Features • This is a collection of gem problems in linear algebra and matrix theory for students • Each chapter starts with important facts and interesting results as examples to show basic skills and techniques on the topic, followed by carefully selected problems
Computational Algebra Course and Exercises with Solutions by Ihsen Yengui (Université de Sfax, Tunisia)
This book contains a total of 124 exercises with detailed solutions as well as an important number of examples that illustrate definitions, theorems, and methods. This is very important for students or researchers who are not familiar with the topics discussed.
Mersenne Numbers and Fermat Numbers by Elena Deza (Moscow State Pedagogical University, Russia)
This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography. Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.
The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi – Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called “Gauss – Manin connection in disguise”.
Readership: Graduate students and researchers. 280pp Nov 2021 978-981-123-867-3 US$108 £95
Readership: College/university students and instructors in mathematics, physics, statistics, computer science, etc. Upper division/beginning graduate level. 460pp Nov 2021 978-981-123-908-3(pbk) US$58 £50 978-981-123-979-3 US$118 £105
Essential Textbook Lectures on Algebraic Topology
Readership: Postgraduates, advanced undergraduates, academics and researchers of mathematics. 284pp May 2021 978-981-123-930-4(pbk) US$58 £50 978-981-123-824-6 US$98 £85
Readership: Advanced undergraduate and graduate students, researchers and practitioners in the fields of algebraic/analytic number theory and arithmetic geometry.
Readership: The target audience consists of researchers and postgraduate students in ultrametric analysis and number theory. Also appropriate for researchers in Levi-Civita fields in p-adic physics.
Essential Textbook
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The President Problems by Abraham Berman (Technion-Israel Inst of Tech, Israel)
Series on Number Theory and Its Applications
Copositive and Completely Positive Matrices by Naomi Shaked-Monderer (The Max Stern Yezreel Valley College, Israel) & Abraham Berman (Technion — Israel Institute of Technology, Israel)
P-adic Analytic Functions by Alain Escassut (Université Blaise Pascal, France)
The book is an up to date comprehensive resource for researchers in Matrix Theory and Optimization. It can also serve as a textbook for an advanced undergraduate or graduate course.
348pp Apr 2021 978-981-122-621-2 US$128 £115
Readership: Advanced undergraduate, graduate and researchers in matrix theory and optimization. 564pp Mar 2021 978-981-120-434-0 US$158 £140
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This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author’s 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.
US$38 £35
Readership: Researchers, professionals, academics, graduate students and undergraduate students in physics, AI, machine learning, and relativity and gravitation.
• Contains numerous open research problems for young researchers
5
The book is based on lecture notes of a course “from elementary number theory to an introduction to matrix theory” given at the Technion to gifted high school students. It is problem based, and covers topics in undergraduate mathematics that can be introduced in high school through solving challenging problems. These topics include Number theory, Set Theory, Group Theory, Matrix Theory, and applications to cryptography and search engines.
Details on page 37
Recommend
Readership: High school students who love mathematics and mathematics teachers. Also good for professors of mathematics and maths education, students in the mathematical sciences and pre-service math teachers.
A Problem Based Journey from Elementary Number Theory to an Introduction to Matrix Theory
• The results found in the book are at the cutting edge of the present research • The first few chapters provide the fundamentals while the latter chapters cater to first or second-year graduate students
440pp Nov 2021 978-981-124-136-9 US$128 £115
248pp Jun 2021 978-981-124-101-7 US$58 £50
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There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive. The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.
Elementary Modular Iwasawa Theory by Haruzo Hida (University of California, Los Angeles, USA)
This book is an updated and extended version of Completely Positive Matrices (Abraham Berman and Naomi Shaked-Monderer, World Scientific 2003). It contains new sections on the cone of copositive matrices, which is the dual of the cone of completely positive matrices, and new results on both copositive matrices and completely positive matrices.
What Are Tensors Exactly? by Hongyu Guo (University of HoustonVictoria, USA)
Various properties of p -adic exponentialpolynomials are examined, such as the Hermite Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of a closed disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions — in the whole field or inside an open disk — is a Bezout ring is also examined.
Key Features
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130pp Sep 2021 978-981-123-487-3
Key Features • Challenging problems, interesting mathematics, the book will appeal to high school and university students who love mathematics and their teachers
Natural numbers are the oldest human invention. This book describes their nature, laws, history and current status.
Readership: Students and professionals who are interested in number theory, also good for general public to read up.
Key Features • Combinatorial approach, new way to consider codification applied to Boolean algebras, connection with quantum and classical information
Elements of Linear and Multilinear Algebra by John M Erdman (Portland State University, USA)
MAA Reviews
Reviews of the First Edition: “It’s well written and is peppered with sections titled, ‘exercises and complements’. Clearly the reader needs to take these very seriously. I personally find exercises in category theory and homological algebra very satisfying because of their architecture and their minimalist quality: it’s a lot of fun for it all to come down to dancing all over a commutative diagram or two and to draw a lot of arrows. I like the subject a great deal, and I think this is a good book to learn it from.”
392pp Mar 2021 978-981-123-608-2
Readership: High school, college and university students, teachers, professionals, scientists and investors interested in history of mathematics, Fibonacci numbers, golden section and their generalization.
Readership: Undergraduate, graduate and PHD students in Mathematics, Computer Science and Physics.
Mathematics Catalogue 2022 6 Series on Knots and Everything - Vol 68 Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science
“Mathematics of Harmony” rises in its origin to the “harmonic ideas” of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the “Universe Harmony, “ the main conception of ancient Greek science, and implementation of this conception to modern science and education.
Essential Textbook Category Theory and Applications
Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots. This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads.
Volume 2: Algorithmic Measurement Theory, Fibonacci and Golden Arithmetic’s and Ternary Mirror-Symmetrical Arithmetic by Alexey Stakhov (International Club of the Golden Section, Canada & Academy of Trinitarism, Russia) 332pp Sep 2020 978-981-121-346-5 US$98 £85 Series on Knots and Everything - Vol 69 Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science Volume 3: The “Golden” Paradigm of Modern Science: Prerequisite for the “Golden” Revolution in Mathematics, Computer Science, and Theoretical Natural Sciences by Alexey Stakhov (International Club of the Golden Section, Canada & Academy of Trinitarism, Russia) 244pp Sep 2020 978-981-121-349-6 US$88 £75
316pp Apr 2021 978-1-80061-008-8 US$118 £105
A Textbook for Beginners (2nd Edition) by Marco Grandis (Universitàdi Genova, Italy)
Key Feature • Can serve as the explanation of the fact why in the number theory attention was not given to numeral systems
A Modern Introduction to Classical Number Theory by Tianxin Cai (Zhejiang University, China)
US$118 £105
432pp Aug 2021 978-981-121-829-3 US$138 £120
One feature of the book is the supplementary material after each section, there by broadening the reader’s knowledge and imagination. These contents either discuss the rudiments of some aspects or introduce new problems or conjectures and their extensions, such as perfect number problem, Egyptian fraction problem, Goldbach’s conjecture, the twin prime conjecture, the 3x + 1 problem, Hilbert Waring problem, Euler’s conjecture, Fermat’s Last Theorem, Laudau’s problem and etc.
Readership: Upper division undergraduates, beginning graduate students, instructors of linear and multilinear algebra. 236pp Jan 2021 978-981-122-272-6 US$68 £60
Readership: Graduates and researchers in mathematical logic and physicists working on quantum information. May also be of interest to IT researchers and philosophers working on logic and information theory.
This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes — to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as “proposition”, “example”, “theorem”, “exercise”, and “corollary”, if not followed by a proof (and proofs here are very rare) or a reference to a proof, are invitations to verify the assertions made.
Boolean Structures Combinatorics, Codification, Representation by Gennaro Auletta (University of Cassino and Southern Lazio, Italy & Pontifical Gregorian University, Italy)
Boolean Structures: Combinatorics, Codification, Representation offers the first analytical and architectural approach to Boolean algebras based combinatorial calculus and codification with applications in IT, quantum information and classification of data.
The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically.
Essential Textbook Trends in Abstract and Applied Analysis - Vol 9 Boundary Value Problems for Fractional Differential Equations and Systems by Bashir Ahmad (King Abdulaziz University, Saudi Arabia), Johnny Henderson (Baylor University, USA) & Rodica Luca (“Gheorghe Asachi” Technical University of Iasi, Romania)
This book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann – Liouville and Caputo fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions. The monograph draws together many of the authors’ results, that have been obtained and highly cited in the literature in the last four years.
Normal Forms, Combinatorial and Decision Problems in Algebra by Leonid Bokut (Sobolev Institute of Mathematics, Russia), Yuqun Chen (South China Normal University, China), Kyriakos Kalorkoti (University of Edinburgh, United Kingdom), Pavel Kolesnikov (Sobolev Institute of Mathematics, Russia) & Viktor Lopatkin (Saint-Petersburg State University, Russia)
Readership: Researchers in algebra and combinatorics. 308pp Jul 2020 978-981-4619-48-6 US$138 £120
From Tzuong-Tsieng Moh, a seasoned expert in algebra, comes a new book for students to better understand linear algebra. Writing from an experienced standpoint, Moh covers the many standard aspects comprising linear algebra, such as echelon forms, matrix algebra, linear transformations, and more. Moh further includes several advanced topics and applications, as well as self-correcting codes, Heisenberg’s uncertainty principle, Maxwell’s equations in relativity form, Google’s search engine, and the theory of finitely generated modules over a PID.
Nonlinear Higher Order Differential and Integral Coupled Systems
An Introduction to Partial Differential Equations (with Maple)
Gröbner – Shirshov Bases
The main objective for writing this book is to present some recent results on single-valued and multi-valued boundary value problems, involving different kinds of fractional differential and integral operators, and several kinds of nonlocal multi-point, integral, integrodifferential boundary conditions. Much of the content of this book contains the recent research published by the authors on the topic.
Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap.
Readership: Undergraduate, beginning level mathematics/physics graduate students, students from interdisciplinary areas and engineering. 220pp Aug 2021 978-981-122-862-9 US$78 £70
• The material chosen for this book is significant in the sense that it covers different kinds of nonlocal fractional-order boundary value problem.
Readership: Graduate students and researchers interested in the basic and advanced topics of linear algebra and its applications.
• This book provides an up-to-date development on the topic of nonlocal nonlinear boundary value problems dealing with fractional differential equations and inclusions
Readership: Researchers working in the field of fractional calculus/ boundary value problems; graduate students with major in fractional order boundary value problems; researchers working on the theoretical aspects of fractional differential equations and inclusions.
DIFFERENTIAL & INTEGRAL EQUATIONS Trends in Abstract and Applied Analysis - Vol 10
596pp Apr 2021 978-981-123-040-0 US$188 £165
Impulsive and Integral Equations on Bounded and Unbounded Domains by Feliz Manuel Minhós (Universidade de E´vora, Portugal) & Robert de Sousa (Universidade de Cabo Verde, Cape Verde)
Essential Textbook
Series on University Mathematics - Vol 10 Linear Algebra and its Applications by Tzuong-Tsieng Moh (Purdue University, USA)
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316pp Nov 2020 978-981-3235-42-7 US$98 £86
Key Features
The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm – Liouville eigenvalue problems and series solutions. The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. These features distinguish the book from other textbooks available in the related area.
Readership: Mathematical and scientific researchers, and graduate students in mathematics and science interested in the existence of solutions for fractional differential equations and systems. 468pp Mar 2021 978-981-122-445-4 US$128 £115
Nonlocal Nonlinear FractionalOrder Boundary Value Problems by Bashir Ahmad (King Abdulaziz University, Saudi Arabia) & Sotiris K Ntouyas (University of Ioannina, Greece)
A Concise Course by Zhilin Li & Larry Norris (North Carolina State University, USA)
Readership: Academics, researchers and graduate students on Mathematics or related fields such as Engineering who are interested in coupled systems of differential and integral equations. 242pp Oct 2021 978-981-122-512-3 US$98 £85
7
The book is about algebras, groups, semigroups presented by generators and defining relations. One of the main problems for such presentations is the problem of normal forms of their elements. Gröbner – Shirshov bases theory is a general approach to the problem. The Shirshov paper was largely unknown outside Russia. The book covers this gap in the modern mathematical literature. Now Gröbner – Shirshov bases method has many applications both for classical algebraic structures (associative, Lie algebra, groups, semigroups) and new structures (dialgebra, pre-Lie algebra, Rota – Baxter algebra, operads).
Semi-Classical Analysis for Nonlinear Schrödinger Equations
The book provides an introduction to three famous theorems of vector calculus, Green’s theorem, Stokes’ theorem and the divergence theorem (also known as Gauss’s theorem). Material is presented so that results emerge in a natural way.
An Introduction to Differential Equations with Applications by Harold Cohen (California State University, Los Angeles, USA) & Daniel Gallup (Pasadena City College, USA)
US$58 £50
240pp Apr 2021 978-981-123-024-0 US$88 £75
The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caustics. The second part treats the semi-classical limit in the presence of caustics, in the special geometric case where the caustic is reduced to a point (or to several isolated points). The third part is new in this edition, and addresses the nonlinear propagation of coherent states. The three parts are essentially independent.
Key Features
Readership: Graduate students and researchers specializing in differential equations and dynamical systems.
Hyperbolicity in Delay Equations by Luis Barreira (Universidade de Lisboa, Portugal) & Claudia Valls (Universidade de Lisboa, Portugal)
“This book offers insight and motivation into the major theorems of undergraduate single-variable and multivariable calculus. In this, the text is successful — working from physical principles and complete with many pictures, the text demystifies the ‘big theorems’ that arise in the calculus sequence.
Readership: Undergraduate students and lecturers of calculus courses in mathematics major as well as engineering and other related areas.
Mathematics Catalogue 2022 8
• First book on the semi-classical analysis for nonlinear Schrödinger equations • Includes tools of independent interest for the study of nonlinear Schrödinger equations
The book contains methods of approximation to solutions of various types of differential equations with practical applications, which will serve as a guide to programming so that such differential equations can be solved numerically with the use of a computer.
Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a “Thousand Expert” Professorship at the Huazhong University of Science and Technology in Wuhan.
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252pp Aug 2020 978-981-122-256-6 US$98 £85
Readership: Upper level undergraduate, graduate students, researchers in Mathematics and in areas of applications such as biomathematics, ecology, meteorology, medicine, etc. 156pp Dec 2020 978-981-122-865-0
• The book presents methods for solving differential equations that many other text do not cover. These include Heaviside operator methods, phase plane analysis and several detailed methods for approximating solutions that cannot be obtained analytically.
Terrance J Quinn (Middle Tennessee State University, USA), Zine Boudhraa (Montgomery College, Maryland, USA) & Sanjay Rai (Montgomery College, Maryland, USA)
Readership: Graduate students, researchers in the fields of partial differential equations and mathematical physics. 368pp Oct 2020 978-981-122-790-5 US$118 £105 Series in Applied and Computational Mathematics - Vol 4
This book is for students in a first course in ordinary differential equations. The material is organized so that the presentations begin at a reasonably introductory level. Subsequent material is developed from this beginning. As such, readers with little experience can start at a lower level, while those with some experience can use the beginning material as a review, or skip this part to proceed to the next level.
Among these are robustness, admissibility, invariant manifolds, and spectra, which play important roles in life sciences, engineering and control theory, especially in delayed feedback mechanisms.
Readership: Undergraduate students studying mathematics, physics, engineering, business, economics and banking who are interested in the practical applications of differential equations. 816pp Sep 2020 978-981-3276-65-9 US$168 £150
Essential
Key Feature:
This book provides a comprehensive introduction to the study of hyperbolicity in both linear and nonlinear delay equations. This includes a self-contained discussion of the foundations, main results and essential techniques, with emphasis on important parts of the theory that apply to a large class of delay equations. The central theme is always hyperbolicity and only topics that are directly related to it are included.
As in classical physics, we begin with descriptions of flows.
WKB Analysis, Focal Points, Coherent States (2nd Edition) by Rémi Carles (CNRS, France & Universitéde Rennes 1, France)
Interdisciplinary Mathematical Sciences - Vol 21 An Introduction to Nonautonomous Dynamical Systems and their Attractors by Peter E Kloeden (Universität Tübingen, Germany) & Meihua Yang (Huazhong University of Science and Technology, China)
As a result, the text is a worthwhile and engaging read for both undergraduate and graduate students looking to better understand the results that appear at the end of a traditional Calculus 3 course. It would also be recommended to a professor of Calculus 3 who is looking for inquiry-based approaches or thought experiments to use in their course.” MAA Reviews
Key Features • In recent decades new concepts of nonautonomous attractors have been developed in the mathematical literature and provide a better understanding of the dynamics in nonautonomous systems • This book aims to make these new ideas accessible to modelers in other areas such as biomathematics, ecology, meteorology, physics, etc.
Basic Insights in Vector Calculus With a Supplement on Mathematical byUnderstanding
This volume aims to bridge between elementary textbooks on calculus and established books on advanced analysis. It provides elucidation of the reversible process of differentiation and integration through two featured principles: the chain rule and its inverse — the change of variable — as well as the Leibniz rule and its inverse — the integration by parts. The chain rule or differentiation of composite functions is ubiquitous since almost all (a.a.) functions are composite functions of (elementary) functions and with the change of variable method as its reverse process. The Leibniz rule or differentiation of the product of two functions is essential since it makes differentiation nonlinear and with the method of integration by parts as its reverse process.
Basic Lessons on Isometries, Similarities and Inversions in the Euclidean Plane
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328pp Mar 2021 978-981-122-448-5
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Analysis and Beyond
Metacyclic Groups and the D(2) Problem by Francis E A Johnson (University College London, UK)
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This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields — singularity theory and differential geometry. The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space Key Features • The book covers a spectrum of material from the most basic facts to advanced research topics, in a way that naturally brings the reader through the different levels
Readership: Advanced undergraduate and graduate students, and researchers interested in the singularity theory from the perspective of differential geometry of curves and surfaces. 380pp Sep 2021 978-981-123-713-3 US$128 £115 Bestseller
The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers.
Differential Geometry of Curves and Surfaces with Singularities by Masaaki Umehara (Tokyo Institute of Technology, Japan), Kentaro Saji (Kobe University, Japan) & Kotaro Yamada (Tokyo Institute of Technology, Japan)
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This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book.
The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material.
336pp May 2021 978-981-123-799-7 US$118 £105
An Introduction with Examples and Exercises by Shigeru Kanemitsu (Kyushu Institute of Technology, Japan), Takako Kuzumaki (Gifu University, Japan) & Jianya Liu (Shandong University, China)
Readership: University students who want to know what analysis is, and researchers in various disciplines who want to have a glimpse of analysis for possible applications to their own fields.
Fiber Bundles and Homotopy by Dai Tamaki (Shinshu University, Japan)
The D(2) problem is a fundamental problem in low dimensional topology. In broad terms, it asks when a three-dimensional space can be continuously deformed into a twodimensional space without changing the essential algebraic properties of the spaces involved.
500pp Sep 2021 978-981-124-037-9(pbk)
US$88 £75
Readership: Academic mathematicians; postgraduate and higher. 372pp Jan 2021 978-981-122-275-7 US$118 £105
A Synthetic Approach by Ioannis Markos Roussos (Hamline University, USA)
Readership: College and high school students in mathematics, computational geometry, computational sciences.
Series in Algebraic and Differential Geometry - Vol 1
US$78 £70 978-981-123-985-4 US$148 £130
Readership: Graduate students and researchers in algebraic topology.
This book solves the D(2) problem for a large, possibly infinite, number of finite metacyclic groups G(p, q). Prior to this the author had solved the D(2) problem for the groups G(p, 2). However, for q > 2, the only previously known solutions were for the groups G(7, 3), G(5, 4) and G(7, 6), all done by difficult direct calculation by two of the author’s students, Jonathan Remez (2011) and Jason Vittis (2019).
Details on page 40
Translated by: Wayne Rossman (Kobe University, Japan)
GEOMETRY & TOPOLOGY
Lecture Notes on General Topology by Guoliang Wang (Beijing Institute of Technology, China)
•
A General Theory by Marco Grandis (Università di Genova, Italy)
Readership: Advanced undergraduates and graduates in differential geometry and topology. 220pp Aug 2021 978-981-123-742-3 US$58 £50
•
152pp Feb 2021 978-981-122-741-7 US$58 £50
Readership: Advanced undergraduate and graduate students, researchers and practitioners in the fields of topology.
An Elementary Overview of Mathematical Structures Algebra, Topology and Categories by Marco Grandis (Università di Genova, Italy)
Readership: Graduate students of mathematics, Academia (topology, analysis). 500pp Apr 2022 978-981-123-210-7 US$158 £140
This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.
Manifolds and Local Structures
Readership: Graduate students, PhD students and researchers in mathematics, physics & computer science.
This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a prerequisite for further studying analysis, geometry, manifolds, and certainly, for a career of mathematical research. Researchers may find it helpful especially from the comprehensive indices. This book also contains exercises for each chapter with selected solutions.
Every effort has been made to make the topics accessible to non-mathematicians while at the same time being of interest to experienced mathematicians
The title of this book alludes to the mentioned advantages of the present approach, which I believe to be more gratifying than many traditional ones. Principal classical topics of typical topology courses are included.
The book is highly graphic oriented with many examples of incorporating mathematics in design
The textbook is a very good start into the mathematical field of topology. A variety of topological concepts with some elementary applications are introduced. It is organized in such a way that the reader gets to significant applications quickly.
Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable ‘elementary spaces’, by means of partial homeomorphisms that fix the gluing conditions and form a sort of ‘intrinsic atlas’.
Key Features:
10 Geometric Foundations of Design Old and New by Jay Kappraff (New Jersey Institute of Technology, USA)
“The presentation is modeled on the discursive style of the Bourbaki collective, and the coverage of topics is rich and varied. Grandis has provided a large selection of exercises and has sprinkled orienting comments throughout. For an undergraduate library where strong students seek an overview of a significant portion of mathematics, this would be an excellent acquisition. Summing up: Recommended.” CHOICE
Readership: Undergraduate and graduate students in Mathematics, Physics, Computer Sciences, Chemistry, Statistics, Engineering. 392pp Aug 2020 978-981-122-031-9 US$118 £105
Essential Textbook A Royal Road to Topology Convergence of Filters by Szymon Dolecki (Mathematical Institute of Burgundy, France)
This uniform approach allows us to move from one basis to another: for instance, the elementary tangent bundle of an open Euclidean space is automatically extended to the tangent bundle of any differentiable manifold. The same holds for tensor calculus.
Mathematics Catalogue 2022
Elementary Topology and Applications (2nd Edition) by Carlos R Borges (University of California, Davis, USA)
This revised version corrects the many discrepancies in the earlier edition. The emphasis is on the geometric understanding and the use of new concepts, indicating that topology is really the language of modern mathematics.
Readership: General Public, undergraduates and designers who are interested in seeing the connection between mathematics and design. 368pp Mar 2021 978-981-121-970-2 US$118 £105
• Many topics are novel and have not been presented elsewhere
Convergence theory completes topology in an analogous way as the field of complex numbers algebraically completes the field of real numbers. The class of convergences is closed under several natural, essential operations, under which the class of topologies is not!
Key Features • The framework of convergence theory is easier, more powerful and far-reaching than that of general topology, thanks to an appropriate level of abstraction, enabling us to see the things with inhanced clarity
376pp Mar 2021 978-981-123-399-9 US$128 £115
Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces. The book intends to give a structural overview of these topics, where the basic facts of the different theories are unified through the ‘universal properties’ that they satisfy, and their particularities stand out, perhaps even more.
• Additional designs will be offered to the purchaser in a website
Technically, the goal of this book is to treat these structures as ‘symmetric enriched categories’ over a suitable basis, generally an ordered category of partial mappings.
Special Techniques for Solving Integrals Examples and Problems by Khristo N Boyadzhiev (Ohio Northern University, USA)
A Concise Introduction by Jiongmin Yong (University of Central Florida, MathematicalUSA) analysis serves as a common foundation for many research areas of pure and applied mathematics. It is also an important and powerful tool used in many other fields of science, including physics, chemistry, biology, engineering, finance, and economics. In this book, some basic theories of analysis are presented, including metric spaces and their properties, limit of sequences, continuous function, differentiation, Riemann integral, uniform convergence, and series. After going through a sequence of courses on basic calculus and linear algebra, it is desirable for one to spend a reasonable length of time (ideally, say, one semester) to build an advanced base of analysis sufficient for getting into various research fields. This book is written to meet such a demand.
Lectures on the Geometry of Manifolds (3rd Edition)
ANALYSIS
Key Features • Uniquely combined Nevanlinna theory and Diophantine approximation together in the book. Each chapter was divided into Part A and Part B. The Part A deals with Nevanlinna theory and Part B covers Diophantine approximation. At the end of each chapter, a table is provided to indicate the clear correspondence of the theorems
This is the first book which explains the phenomena arising from purely inseparable coverings and Artin – Schreier coverings. In most cases, the base surfaces are rational, hence the covering surfaces are unirational. There exists a vast, unexplored world of unirational surfaces. In this book, we explain the Frobenius sandwiches as examples of unirational surfaces.
276pp Jan 2021 978-981-122-163-7 US$78 £70
Nevanlinna Theory and Its Relation to Diophantine Approximation (2nd Edition) by Min Ru (University of Houston, USA)
11 For more information,
Readership: Graduate students and researchers in the fields of Algebraic Geometry, Fields and Rings, and Commutative Algebra. 456pp Aug 2020 978-981-121-520-9 US$138 £120
Readership: Graduate and undergraduate students, professors and researchers in mathematics related to calculus, advanced calculus, mathematical analysis, real analysis, and mathematical physics; physics, and engineering. 390pp Mar 2022 978-981-123-625-9(pbk) US$58 £50 978-981-123-575-7 US$98 £85
The book starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton formulas), characteristic classes, elliptic equations on manifolds and Dirac operators.
Readership: Researchers and graduate students in the area of complex analysis (including several complex variables and complex geometry), number theory, algebraic/differential geometry. 444pp Apr 2021 978-981-123-350-0 US$148 £130
by Liviu I Nicolaescu (University of Notre Dame, ReviewUSA)ofthe
Mathematical Analysis
WORLD SCIENTIFIC
BestsellerMATHEMATICAL
Readership: Graduate students and researchers in global analysis, differential geometry. 700pp Oct 2020 978-981-121-595-7(pbk) US$98 £85 978-981-121-481-3 US$198 £175 Algebraic Surfaces in Positive Characteristics Purely Inseparable Phenomena in Curves and Surfaces by Masayoshi Miyanishi (Osaka University, Japan) & Hiroyuki Ito (Tokyo University of Science, Japan)
Introduction to Analysis with Complex Numbers by Irena Swanson (Purdue University, USA)
visit: www.worldscientific.com
This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. The volume contains numerous solved examples and problems for the reader.
Readership: Introduction to proofs and analysis on real and complex functions for undergraduates.
Zentralblatt
This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series. The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer’s head. The book contains many examples and exercises to solidify the understanding.
456pp Mar 2021 978-981-122-769-1(pbk) US$68 £60 978-981-122-585-7 US$118 £105
Essential Textbook
2nd Edition: “... advanced graduate students will find the present book a fine text and reference. Virtually everything is created from scratch and presented in a thoughtful manner ... the chapter on cohomology is really a tourde-force, involving geometry, topology and analysis in a fashion that every graduate student should see ... All-in-all, this is an excellent book for the right audience ... this book has everything for a full year-long course introducing students to the modern workings of global analysis.” MATH
This book describes the theories and develop ments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.
Readership: Upper-level undergraduate students and first-year graduate students of mathematics, applied mathematics, and other mathematical related majors, such as statistics and industrial engineering.
Readership: Undergraduate and graduate students as well as researchers in applied mathematics, and engineers.
This book is about one of the beautiful topics in mathematics. It describes an on-going research on bounded analytic functions which are defined on the unit disc. This is a very active topic that belongs to the theory of complex analysis in a single complex variable.
800pp Jul 2021 978-981-3203-17-4 US$178 £148 978-981-3203-18-1(pbk) US$88 £73
Readership: Complex Analysis, Geometric Function Theory, Extremal problems, for graduate students and experts in those areas.
by Cho-Ho Chu (Queen Mary, University of London, UK) This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.
Correct Antidifferentiation
Readership: Instructors and university students of Mathematics of first and second year, University students of technical branches that include Calculus and/or Mathematical Analysis in their curriculum. 284pp Oct 2020 978-981-122-745-5 US$98 £85
US$188 £165 978-981-122-488-1(pbk) US$78 £70 Vol. 2 978-981-124-197-0446pp US$148 £130 978-981-124-198-7(pbk) US$58 £50 Vol. 3 978-981-122-395-2626pp US$188 £165 978-981-122-489-8(pbk) US$78 £70
Yes, this is another Calculus book. However, I think it fits in a niche between the two predominant types of such texts. It could be used as a textbook, albeit a streamlined one — it contains exposition on each topic, with an introduction, rationale, train of thought, and solved examples with accompanying suggested exercises. Exercises are structured in three sets to force multiple encounters with each topic. The text is intended to be fully consumed; it is designed so that students become engaged with every topic and every exercise presented. The book is written in a very conversational tone.
620pp Apr 2021 978-981-122-637-3 US$168 £150 Lectures on Functional Analysis and Applications (2nd Edition) by V S Pugachev & I N Sinitsyn (Russian Academy of Sciences, Russia)
The Fractional Laplacian by Wenxiong Chen (Yeshiva University, USA), Yan Li (Yeshiva University, USA) & Pei Ma (Nanjing Forestry University, China)
344pp Jul 2020 978-981-3223-99-8 US$128 £113 Bestseller
Readership: Graduate students and researchers interested in analysis and differential equations.
The book includes much more than just a review on the The Krzyż Conjecture. It includes topics on inner functions within the context of problems that are different from the The Krzyż Conjecture as well as other topics on general bounded analytic functions. Progress in mathematical research is frequently fuelled by efforts to solve open problems. The book also includes a few important open problems and some partial solutions of these.
This volume is not only intended for mathematicians who deal with applications of functional analysis, but also for those having only a moderate background in mathematics in their areas of work. The materials covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of mathematics applications, as well as the simplicity of presentation, differentiates this book from others. The method and style of presentation of materials make it digestible and easily understood by readers. This second edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories presented. In addition, necessary improvements for bringing the contents more up to date with current fundamental and applied developments in Chapters 1 – 10 were made.
Bounded Symmetric Domains in Banach Spaces
Readership: Graduate students and researchers in diverse mathematical fields including complex geometry, function theory, functional analysis and operator theory. 408pp Sep 2020 978-981-121-410-3 US$138 £120
This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on.
Mathematics Catalogue 2022 12 Krzyz• Conjecture: Theory and Methods A Research Diary of a Mathematician by Ronen Peretz (Ben Gurion University of the Negev, Israel)
Essential Textbook Casual Calculus (In 3 Volumes) Vol. I: A Friendly Student Companion Vol. II: A Friendly Student Companion Vol. III: Multivariable by Kenneth H Luther (Valparaiso University, USA)
Readership: Undergraduate students currently taking or refreshing themselves on Calculus. 1764pp Dec 2021 978-981-124-264-9(Set)(pbk) US$188 £165 978-981-124-263-2(Set) US$448 £395 Vol. 1 978-981-122-392-1692pp
The Change of Variable Well Done by Antonio Martínez-Abejón (University of Oviedo, Spain) This book is monographically focused on elementary antidifferentiation and reasonably self-contained, yet it is written in a “hand-book” style: it has plenty of examples and graphics in an increasing level of difficulty; the most standard changes of variable are studied and the hardest theoretic parts are included in a final Appendix. Each practical chapter has a list of exercises and solutions. There is plenty of graphics which help the student to understand better the process of antidifferentiation while most of the books do not.
• All unique and previously unpublished examples • This is a book of ideas, for people interested in new ideas and new structures
US$78 £70
The book provides a comprehensive description of simplest symmetric and dissipative solutions to Canonical Commutation Relations of Quantum Mechanics on metric graphs with applications to Quantum Measurement Theory
600pp Sep 2021 978-981-124-145-1(pbk)
Key Features
Readership: Advanced undergraduate and graduate students, researchers and practitioners in the fields of fluid mechanics, engineering, computer science, and physics.
Boltzmann Method
The current book, features Complementarity, in which the matrix algebra is extended to characterize not only DNA itself but the wellknown process of its replication, a most gratifying outcome. The book then goes on to explore Complementarity, with and without its matrix expression, as it occurs, not only in much of physics but in its extension to cosmology as well.
The Mathematics of Open Quantum Systems Dissipative and Non-Unitary Representations and Quantum Measurements by Konstantin A Makarov (University of Missouri, USA) & Eduard Tsekanovskii (Niagara University, USA)
13 WORLD SCIENTIFICFor more information, visit: www.worldscientific.com MATHEMATICAL PHYSICS & RELATED TOPICS
Enjoy a visual exploration through the intricate and elaborate structures of scale-symmetric geometry. See unique fractals, Mandelboxes, and automata and physical behaviors. Take part in the author’s forage into the lesser-trodden regions of this landscape, and discover unusual and attractive specimens!
Key Features •
Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications - Vol 6 Exploring Scale Symmetry by Thomas Lowe (Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia)
The book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers. The relation between the LBM and the Navier-Stokes equation is derived by using the asymptotic expansion with a diffusive time scale (the authors’ original work). The LKS (authors’ original work) is an extension method of the LBM and needs no velocity distribution functions. Also, an improved LKS can stably simulate high Reynolds number flows. The IB-LBM (authors’ original work) is useful for simulations of moving boundary flows. For numerical examples, free flight simulations of butterfly-like and dragonflylike flapping wing-body models are illustrated
This is a comprehensive and state-of-the-art compendium of classical or Newtonian (non relativistic and non quantum) mechanics from an advanced and unified viewpoint, namely, from the continuum, or field, form of the fundamental principles of linear and angular momentum of Euler, Cauchy, Hamel et al. The title adjective “elementary” simply means no Lagrangean and no Hamiltonian theories and methods. Yet, in spite of its high level, this extensive work of more than 1450 dense pages of text, and more than 350 pages of galleries is eminently readable and inclusive. The overall style is informal, all ahistorical and intuition-deadening jargon and formalisms (“epsilonics”) have been intentionally avoided.
Readership: Graduates and Researchers interested in mathematical physics, operator theory, quantum physics. 240pp Jan 2022 978-981-124-122-2 US$98 £85
Readership: Teachers, and Researchers in most areas of engineering, physics, and applied mathematics. 1680pp Jan 2022 978-981-4603-04-1(Set)
A Universal Organizing Principle by Jack Shulman Avrin
Find out how this long-neglected element transforms the traditional geometry of lines and planes into a rich landscape of trees, craggy mountains and rolling oceans.
Classical and Quantum Mechanics with Lie Algebras by Yair Shapira (Technion - Israel Institute of Technology, Israel)
172pp Dec 2021 978-981-124-051-5
Series on Knots and Everything On Complementarity
How to see physics in its full picture? This book offers a new approach: start from math, in its simple and elegant tools: discrete math, geometry, and algebra, avoiding heavy analysis that might obscure the true picture. This will get you ready to master a few fundamental topics in physics: from Newtonian mechanics, through relativity, towards quantum mechanics. Each chapter ends with a lot of relevant exercises. The exercises are an integral part of the chapter: they teach new material and are followed by complete solutions. This is a new pedagogical style: the reader takes an active part in discovering the new material, step by step, exercise by exercise.
Readership: Readers with a mathematical background who is interested in fractals, programming, geometry, patterns, 3D rendering, digital art; Undergraduate and graduate students who are keen to explore new areas of scale-symmetric geometry. 252pp Mar 2021 978-981-3278-54-7 US$88 £75
An Introduction to Lattice
A Numerical Method for Complex Boundary and Moving Boundary Flows by Takaji Inamuro (Kyoto University, Japan), Masato Yoshino (Shinshu University, Japan) & Kosuke Suzuki (Shinshu University, Japan)
US$78 £70 978-981-124-005-8
Readership: Undergraduate and graduate students.
US$178 £155
Elementary Mechanics (In 2 Volumes) by John G Papastavridis (Georgia Institute of Technology, USA)
Readership: Undergraduate and graduate students in Mathematics and Physics. 276pp Aug 2021 978-981-3278-97-4 US$88 £75
This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory.
US$384 £319
• Presents and classifies fractals, together with their rendering methods
Material Geometry Groupoids in Continuum Mechanics by Manuel de León (Consejo Superior de Investigaciones Científicas, Spain), Marcelo Epstein (University of Calgary, Canada) & Víctor Jiménez (Universidad de Alcalá(UAH), Spain) This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials. The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms.
Mathematics Catalogue 2022 14 The Collected Works of Anatole Katok (In 2 Volumes) edited by Svetlana Katok (The Pennsylvania State University, USA), Bassam Fayad (Institut de Mathématiques de Jussieu-Paris Rive Gauche, France), Giovanni Forni (University of Maryland, College Park, USA), Boris Hasselblatt (Tufts University, USA), Mariusz Lemańczyk (Nicolaus Copernicus University, Poland), Yakov Pesin (The Pennsylvania State University, USA), Federico Rodriguez Hertz (The Pennsylvania State University, USA) & Ralf Spatzier (University of Michigan, USA) These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok’s work reflects half a century of research in mathematics and includes ergodic theory, hyperbolic, elliptic, and parabolic smooth dynamics, as well as higher-rank actions. Katok’s papers cover an extremely broad range of topics in dynamics, and they contain many seminal contributions that had great impact on later developments and are now widely recognized as classical. Besides papers which have already appeared in academic journals, this collection includes several previously unpublished papers as well as some whose English translation appears here for the first time.
Readership: Graduates, researchers in the fields of dynamical systems and ergodic theory. 2000pp Aug 2022 978-981-123-806-2(Set)
496pp Oct 2021 978-981-3230-79-8 US$148 £130
A Mathematical Journey Through Differential Equations of Physics by Max Lein (Tohoku University, Japan)
Readership: Adva nced undergraduate and graduate students of mathematics and physics with an interest in mathematical physics. Instructors can use it to design a comprehensive course on differential equations after paring down some of the material.
“This book is clearly written and can be recommended for both initial and advanced study of the field.” Mathematical Reviews This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added. This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.
Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications - Vol 4 Quantized Number Theory, Fractal Strings and the Riemann Hypothesis From Spectral Operators to Phase Transitions and Universality by Hafedh Herichi (Santa Monica College, USA) & Michel L Lapidus (University of California, Riverside, USA) Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.
440pp Oct 2021 978-981-122-766-0(pbk) US$68 £60 978-981-122-537-6 US$118 £105
Series on Knots and Everything - Vol 71
Readership: Graduate and postgraduate students interested in Continuum Mechanics, Mathematical Physics and Differential Geometry. Researchers in Elasticity, Applied Mathematics and Differential Geometry.
228pp May 2021 978-981-123-254-1 US$88 £75
Cosmology, the study of the universe, arouses a great deal of public interest, with serious articles both in the scientific press and in major newspapers, with many of the theories and concepts (e.g. the “big bang” and “black holes”) discussed, often in great depth. Accordingly the book is divided into three parts: Part 1: The whole story presented as far as possible for a nontechnical reader. Part 2: The same story, told again but for a reader with some technical knowledge. Part 3: Appendices with full technical details of several of the important topics
The Geometry of the Universe by Colin Rourke (University of Warwick, UK)
Readership: Graduates in science or mathematics, general readership with interest in cosmology and the universe, advanced textbook suitable for postgraduate course. 276pp Jun 2021 978-981-123-386-9 US$88 £75
Readership: Researchers in fractal geometry, analysis and differential equations, complex analysis, harmonic analysis, operator theory, spectral theory, mathematical physics, algebra and number theory.
Mathematics is the language of physics, and over time physicists have developed their own dialect. The main purpose of this book is to bridge this language barrier, and introduce the readers to the beauty of mathematical physics. It shows how to combine the strengths of both approaches: physicists often arrive at interesting conjectures based on good intuition, which can serve as the starting point of interesting mathematics. Conversely, mathematicians can more easily see commonalities between very different fields (such as quantum mechanics and electromagnetism), and employ more advanced tools.
Mathematical Feynman Path Integrals and Their Applications (2nd Edition) by Sonia Mazzucchi (University of Trento, Italy)
US$480 £420 Vol. 1 978-981-123-775-11000pp US$280 £245 Vol. 2 978-981-123-777-51000pp US$280 £245
Readership: Researchers and graduate students interested in the mathematical foundations of Feynman path integrals, mathematical physicists, physicists and mathematicians. 300pp Nov 2021 978-981-121-478-3 US$68 £60 Essential Textbook
WORLD SCIENTIFIC
Infinite-Dimensional Analysis Operators in Hilbert Space; Stochastic Calculus via Representations, and Duality Theory by Palle Jorgensen (The University of Iowa, USA) & James Tian (American Mathematics Society, USA)
Advanced Textbooks in Physics A Guide to Mathematical Methods for Physicists
Practical Numerical Mathematics with MATLAB Workbook and Solutions by Myron M Sussman (University of Pittsburgh, USA)
This workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks.
visit: www.worldscientific.com
15 For more information,
Readership: Graduate students and researchers.
Readership: Researchers, graduate students, academics and quality engineers working in metrology and its applications to manufacturing, environment, health and life sciences. 550pp May 2022 978-981-124-237-3 US$178 £155
Series on Advances in Mathematics for Applied Sciences
252pp Feb 2021 978-981-122-577-2
BestsellerBestseller
US$88 £75 Series on Analysis, Applications and Computation - Vol 8
This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses at the last year of undergraduate in Physics and MSc programs, from Electromagnetism to Quantum Mechanics. It complements A Guide to Mathematical Methods for Physicists with advanced topics and physical applications.
Readership: Senior undergraduate and first year graduate students. 770pp Sep 2021 978-981-124-518-3(Set)(pbk) US$98 £85 978-981-124-600-5(Set) US$198 £175 Vol. 1 978-981-124-519-0(pbk)450pp US$68 £60 978-981-124-035-5 US$128 £115 Vol. 2 978-981-124-520-6(pbk)320pp US$58 £50 978-981-124-069-0 US$118 £105
Essential Textbook Explorations in Numerical Analysis
NUMERICAL ANALYSIS & APPROXIMATION
We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4 – 6. This further connects to key areas in quantum physics.
Advanced Mathematical and Computational Tools in Metrology and Testing XII edited by Franco Pavese (IMEKO TC21, Italy), Alistair B Forbes (National Physical Laboratory, UK), Nien-Fan Zhang (National Institute of Standards and Technology, USA) & Anna Chunovkina (Institute for Metrology “D I Mendeleyev”, Russia) Written by researchers active in institutions developing world-leading measurement capabilities. Provides a multi-disciplinary approach to addressing measurement challenges in a wide range of application domains
Readership: Advanced undergraduate or beginning graduate students. 692pp Jan 2021 978-981-122-934-3(pbk) US$68 £60 978-981-122-793-6 US$148 £130
The different arguments are organised in three main sections: Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics. One of the purposes of the book is to show how seemingly different mathematical tools like, for instance, Fourier transforms, eigenvalue problems, special functions and so on, are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.
Readership: Students and professionals in the field. 308pp Oct 2018 978-1-78634-704-6(pbk) US$48 £40 978-1-78634-548-6 US$88 £77
This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.
164pp Feb 2021 978-981-3223-87-5 US$68 £60
The Linearised Dam-Break Problem by D J Needham, S McGovern & J A Leach (University of Birmingham, UK)
The monograph addresses a canonical problem in linear water wave theory, through the develop ment-detailed, asymptotic analysis of contour in tegrals in the complex plane. It is anticipated that the methodology developed in the monograph will have applications to many associated linear wave evolution problems, to which the reader may adapt the approach developed in the monograph. The approach adopted in the monograph is novel, and there are no existing publications for comparison.
Python Edition by James V Lambers (The University of Southern Mississippi, USA), Amber Sumner Mooney (William Carey University, USA) & Vivian A Montiforte (The University of Southern Mississippi, USA)
Advanced Topics and Applications by Michela Petrini (Sorbonne Université, Paris, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy)
Readership: Undergraduate and graduate students and professionals who want to learn about exciting connections to applied problems in analysis, stochastic processes, dynamical system, representation theory, and mathematical physics.
Series on Optimization and its Applications - Vol 4
Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties.
Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications - Vol 7
Key Feature • No other book currently exists on the most recent advances and applications of the NSFD methodology
Key Feature • New idea for constructing Brakke’s motion
Readership: Graduate students, academics and researchers. 248pp Nov 2020 978-1-78634-853-1 US$88 £75
Readership: Any mathematician working in this field including the PhD students and post-docs in this huge field. Moreover, any physicist who is interested in the mathematical foundation of Statistical Mechanics. 448pp Oct 2020 978-981-122-555-0 US$148 £130
332pp Nov 2020 978-981-122-253-5 US$118 £105
Readership: This book is critical reading for anyone interested in the numerical integration of differential equations by use of finite differences.
Nonstandard Finite Difference
This book first proposes a new idea that involves a new equation of the Allen-Cahn type to construct Brakke’s motion; secondly explaining how to construct it through Ilmanen’s approach as easily as possible.
The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning. Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications.
Readership: Thought-leaders, research scientists, graduate students, advanced undergraduate students, policy-makers, research funding agencies, private research institutions, in the areas of computer science, quantum computing, information theory, neuroscience, and physics.
Readership: Researchers in calculus of variations and optimal control, partial differential equations, ordinary differential equations, integral equations, differential geometry.
358pp Nov 2021 978-1-80061-086-6(pbk) US$58 £50 978-1-80061-065-1 US$128 £115
“This is definitely an original approach to the Second Law. The main users of the book will be mathematicians with a strong background in Fourier analysis and combinatorics. However, it is also readable for physicists in particular for those who are interested in a rigorous approach to the Second Law. The book is very suitable for advanced student seminars. The writing style of the author is precise and convincing. I enjoyed reading very much Professor Robert Tichy, Graz University of Technology, Austria
The goal of this book is to describe in a unified and detailed manner how this methodology applies to solving various problems in different areas ranging from Optimization, Probability, Statistics, Signal Processing, Computational Geometry, Control, Optimal Control and Analysis of a certain class of nonlinear PDEs. For each application, this unconventional methodology differs from traditional approaches and provides an unusual viewpoint.
400pp Jun 2022 978-981-3228-58-0 US$138 £121
The paper entitled “Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature” by T Ilmanen constructs Brakke’s motion from Allen-Cahn equation, which is one of the measure theoretic approaches to motion by mean curvature.
Review of the First Edition: “This book contains a clear presentation of nonstandard finite difference schemes for the numerical integration of differential equations. A set of rules for constructing nonstandard finite difference schemes is also presented. An important feature of the book is the illustration of the various discrete modeling principles, by their application to a large number of both ordinary and partial differential equations" Mathematical Reviews This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.
Schemes Methodology and Applications by Ronald E Mickens (Clark Atlanta Univ., USA)
A New Method of Constructing Brakke’s Motion by Kazuhiro Horihata (Tohoku University, Japan)
It is for both advanced undergraduate and graduate students, as well as researchers and practitioners in the field of numercial analysis.
Readership: Senior undergraduate and first year graduate in areas related to numerical analysis. 276pp Jul 2020 978-981-122-484-3(pbk) US$49 £45 978-981-122-389-1 US$79 £70
Mathematics Catalogue 2022 16 Numerical Linear Algebra by William Layton & Myron Sussman (University of Pittsburgh, USA)
Bestseller Advanced Textbooks in Mathematics Classical and Modern Optimization by Guillaume Carlier (Université Paris Dauphine, France)
The Moment-SOS Hierarchy Lectures in Probability, Statistics, Computational Geometry, Control and Nonlinear PDEs by Didier Henrion (LAAS-CNRS, France & University of Toulouse, France & Czech Technical University in Prague, Czech Republic), Milan Korda (LAAS-CNRS, France & University of Toulouse, France & Czech Technical University in Prague, Czech Republic) & Jean Bernard Lasserre (LAAS-CNRS, France & Institute of Mathematics, University of Toulouse, France)
Equidistribution of Dynamical Systems Time-Quantitative Second Law by Jozsef Beck (Rutgers University, USA)
more information, visit: www.worldscientific.com
Readership: Advanced undergraduate and graduate students.
US$78 £65
The book introduces classical inequalities in vector and functional spaces with applications to probability. It develops new analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales, to transformed Brownian motions and diffusions, to Markov and point processes, renewal, branching and shock processes. In this third edition, the inequalities for martingales are presented in two chapters for discrete and timecontinuous local martingales with new results for the bound of the norms of a martingale by the norms of the predictable processes of its quadratic variations, for the norms of their supremum and their p-variations. More inequalities are also covered for the tail probabilities of Gaussian processes and for spatial processes.
by Henk Tijms (Vrije University, The Netherlands)
Readership: Advanced undergraduate and graduate students as well as researchers in probability and integration theory. The book may be used for courses in analysis and integration theory for undergraduate students.
This volume comprises the author’s account of the development of novel results in random walk theory and its applications during the fractal and chaos revolutions. The early history of probability is presented in an engaging manner, and peppered with pitfalls and paradoxes. Readers will find the introduction of Paul Lévy’s work via Mandelbrot’s Lévy flights which are featured uniquely as Weierstrass and Riemann random walks.
deterministic areas: convex geometry and number theory.
Readership: Gra duate students in the physical sciences and mathematics, and researchers in stochastic processes. Scientists and teachers interested in the history of probability and the development of random walks during the fractal and chaos revolutions. 216pp Jul 2021 978-981-123-280-0 US$78 £70
Series on Multivariate Analysis - Vol 13 Hilbert and Banach SpaceValued Stochastic Processes by Yûichirô Kakihara (California State University, San Bernardino, USA)
An Unbounded Experience in Random Walks with Applications by Michael F Shlesinger
The second edition represents an ongoing effort to make probability accessible to students in a wide range of fields such as mathematics, statistics and data science, engineering, computer science, and business analytics. While retaining its focus on basic probability, including Bayesian probability and the interface between probability and computer simulation, this edition’s significant revisions are as follows: • Many extra motivational examples and problems • New material on Bayesian probability, including two famous court cases • New sections on real-world applications of the Poisson distribution • New sections on generating functions and the bivariate normal density • New chapter on Markov chains, including Markov chain Monte Carlo simulation
370pp Nov 2021 978-981-123-134-6 US$128 £115
Inequalities in Analysis and Probability (3rd Edition)
17 For
World Scientific Series on Probability Theory and Its Applications - Vol 2 Introduction to Stochastic Processes by Mu-Fa Chen (Beijing Normal University, China) & Yong-Hua Mao (Beijing Normal University, China)
The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and studying. This book also features modern probability theory that is used in different fields, such as MCMC, or even
WORLD SCIENTIFIC
Readership: Undergraduate students in fields such as mathematics, statistics and data science, engineering, computer science and business analytics. Graduate students in natural and social sciences. Students taking a first course in probability, or a course on probability for statistics and data science.
244pp Jun 2021 978-981-4740-30-2
Generalizations to coupled memories, internal states and fractal time are introduced at the level for graduate students. Mathematical developments are explained including Green’s functions, inverse Mellin transforms, Jacobians, and matrix methods. Applications are made to anomalous diffusion and conductivity in amorphous semiconductors and supercooled liquids. The glass transition is discussed especially for pressure effects.
184pp Aug 2021 978-981-123-851-2(pbk) US$34 £30 978-981-123-749-2 US$58 £50
PROBABILITY & STATISTICS
This is a development of the book entitled Multidimensional Second Order Stochastic Processes . It provides a research expository treatment of infinitedimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral representations of various classes of nonstationary processes such as harmonizable, V-bounded, Cramér and Karhunen classes as well as the stationary class. A new type of the Radon – Nikodým derivative of a Banach space-valued measure is introduced, together with Schauder basic measures, to study uniformly bounded linearly stationary processes. Readership: Graduate students in mathematics, probabilists, statisticians, functional analysts, communication engineers and physicists. 540pp Aug 2021 978-981-121-174-4 US$168 £150 Submit your paper to this journal. Recommend this journal to your librarian! FREE access to the selected articles. *Please log in to your existing account or register for a FREE account to enjoy this. https://www.worldscientific.com/sd Details on page 40
Essential Textbook Basic Probability
by Odile Pons (National Institute for Agronomical Research, France)
What Every Math Student Should Know (2nd Edition)
A key pedagogical feature of the textbook is the accessible approach to probability concepts through examples with explanations and problems with solutions. The reader is encouraged to simulate in Matlab random experiments and to explore the theoretical aspects of the probabilistic models behind the studied experiments. By this appropriate balance between simulations and rigorous mathematical approach, the reader can experience the excitement of comprehending basic concepts and can develop the intuitive thinking in solving problems. The current textbook does not contain proofs for the stated theorems, but corresponding references are given.
Key Features: • The book was created out of a given lecture, so it addresses the most common problems of understanding for students and it aims to explain these things more carefully • The topics are intended to be well-separated • The sections are covered with minor exercises, such as simple proofs, to train the student’s understanding
175pp Apr 2022 978-981-124-674-6 US$68 £60
This book provides a first introduction to the methods of probability theory by using the modern and rigorous techniques of measure theory and functional analysis. It is geared for undergraduate students, mainly in mathematics and physics majors, but also for students from other subject areas such as economics, finance and engineering. It is an invaluable source, either for a parallel use to a related lecture or for its own purpose of learning it.
Chance, Logic and Intuition
Mathematics Catalogue 2022 18 Series on Multivariate Analysis
A First Course on the Measure-Theoretic Approach by Nima Moshayedi (University of Zurich, Switzerland & University of California, Berkeley, USA)
Probability Theory
“I am not aware of any previous attempt to write an introduction to probability with such a varied and detailed tour of the lives of its founding fathers, along with modern-day anecdotes.”
Readership: Undergraduate students in mathematics and physics majors.
Probability Theory, Examples, Problems, Simulations by Hannelore Lisei (Babeş-Bolyai University, Romania), Wilfried Grecksch (Martin-Luther-University HalleWittenberg, Germany) & Mihai Iancu (Babeş-Bolyai University, Romania)
Introduction to Probability Theory
Readership: Undergraduate and graduate students, professionals and researchers in mathematics, natural sciences, engineering and computer science areas. 364pp Feb 2020 978-981-120-719-8(pbk) US$58 £50 978-981-120-573-6 US$108 £95
The book presents, for the first time, a detailed analysis of harmonizable processes and fields (in the weak sense) that contain the correspond ing stationary theory as a subclass. It also gives the structural and some key applications in detail. These include Levy’s Brownian motion, a probabilistic proof of the longstand ing Riemann’s hypothesis, random fields indexed by LCA and hypergroups, extensions to bis tochastic operators, Cramér – Karhunen classes, as well as bistochastic operators with some statistical applications. The material is accessible to graduate students in probability and statistics as well as to engineers in theoretical applications.
Readership: Graduate students and researchers in probability and statistics interested in stochastic processes and harmonizable processes. Electrical-communication engineers as well as other applied professionals in these fields. 340pp Oct 2020 978-981-121-365-6 US$128 £115
An Introduction to the Counter-Intuitive Logic of Chance by Steven Tijms
Throughout the volume, great importance is attached to the elaboration of probability thoughts. For this reason, some practical examples to illustrate the introduced concept are always used. This volume contains a large number of problems of varying levels for the reader with the purpose to review, consolidate, deepen and expand their knowledge.
256pp Mar 2021 978-981-124-783-5(pbk) US$34 £30 978-981-122-918-3 US$68 £60
Readership: Undergraduate and graduate students, and researchers interested in probability theory.
US$98 £85 https://www.worldscientific.comcost.email:sales@wspc.com
Stochastic Processes Harmonizable Theory by M M Rao (University of California, Riverside, USA)
Essential Textbook World Scientific Series on Probability Theory and Its Applications - Volume 3
Undergraduate students in economy, finance, engineering or any other subject that includes probability theory in the curriculum.
Readership: General public; STEM students in mathematics; college and high school math teachers; various academics interested in probability theory.
An Elementary Course by Zhengyan Lin (Zhejiang University, China), Zhonggen Su (Zhejiang University, China) & Lixin Zhang (Zhejiang University, China)
eTextbooks Available! Digital resources made convenient for your students at a lower
This volume introduces various concepts that quantitatively describe random phenomena, including probability, random variables, distribution functions, density functions, mathematical expectations, variances, moments, and characteristic functions. It finishes off by presenting probability limit theory, including various convergences.
Ted Hill, Professor Emeritus of Mathematics, Georgia Institute of Technology
“This charming book discusses some of the most striking misconceptions about randomness, from antiquity to the current Covid-19 crisis.”
350pp Jul 2022 978-981-120-019-9
John Haigh, Emeritus Reader in Statistics, University of Sussex, Author of Taking Chances
“There were parts of the history section covering aspects that I’ve rarely seen before in a popular mathematics text ... this is a genuinely useful addition to the popular maths coverage of probability.” Popular Science Books
Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes - Volume 3
An expert in algebra and algebraic geometry, Tzuong-Tsieng Moh covers many essential aspects of algebraic coding theory in this book, such as elementary algebraic coding theories, the mathematical theory of vector spaces and linear algebras behind them, various rings and associated coding theories, a fast decoding method, useful parts of algebraic geometry and geometric coding theories.
There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960’s. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990’s there is a need for an update at book level.
ENRICH
19 For
536pp Mar 2020 978-981-3277-48-9 US$158 £140
WORLD SCIENTIFIC
COMPUTER MATHEMATICS & SCIENCE
Readership: Advanced college students, graduate students, working coding theorists, working algebraic geometers.
This is the first attempt to delineate the synthetic field of the theoretical study of information, treating information as the basic phenomenon on the fundamental level of the world, encompassing nature, technology, individuals and society. The exploration of information is done within Infocomputational approaches, to natural and social phenomena with special emphasis on interdisciplinary, crossdisciplinary and transdisciplinary Theknowledge.bookpresents results of collaboration across research fields within info-computational and info-structural frameworks, in attempt to better theoretically and conceptually capture the phenomenon of information and its dynamics (such as computation and communication), as they appear on different levels of organization, on different scales and in different contexts.
500pp Jul 2022 978-981-123-981-6(pbk)
Readership: Graduate students and researchers. 232pp Nov 2019 978-981-121-291-8 US$88 £75 YOUR
US$88 £75
Information in the World edited by Mark Burgin (University of California, Los Angeles, USA) & Gordana Dodig-Crnkovic (Chalmers University of Technology, Sweden & Mälardalen University, Sweden)
A byDictionary
BOOKSRECOMMENDCOLLECTIONTHESETOYOURLIBRARIAN.
LIBRARY’S
Codes and Modular Forms
World Scientific Series in Information Studies - Vol 10 Philosophy and Methodology of Information
World Scientific Series in Information Studies - Vol 11
US$60 £55 978-981-123-934-2 US$158 £140
more information, visit: www.worldscientific.com
Readership: Graduate students and researchers in Information Theory. 576pp Apr 2019 978-981-3277-51-9 US$158 £140
Readership: Graduate students and researchers in Information Theory.
The book covers the basic models in both deterministic and stochastic operations research and is a springboard to more specialized texts, either practical or theoretical. The emphasis is on useful models and interpreting the solutions in the context of concrete applications.
Operations Research
The book gives up-to-date, multi-aspect exposition of the philosophy and methodology of information, and related areas within the nascent field of the study of information. It presents the most recent achievements, ideas and opinions of leading researchers in this domain, as well as from physicists, biologists and social scientists.
This attractive textbook with its easy-tofollow presentation provides a down-to-earth introduction to operations research for students in a wide range of fields such as engineering, business analytics, mathematics and statistics, computer science, and econometrics. It is the result of many years of teaching and collective feedback from students.
Minjia Shi (Anhui University, China), YoungJu Choie (Pohang University of Science and Technology (POSTECH), South Korea), Anuradha Sharma (Indraprastha Institute of Information Technology Delhi, India) & Patrick Solé (University of Aix Marseille, France)
Theoretical Information Studies
200pp Feb 2022 978-981-122-096-8
by Tzuong-Tsieng Moh (Purdue University, USA)
The ideas presented give new insights for those who develop or implement scientific, technological or social applications. They are especially for those who are participating in setting the goals for science in general and sciences of information in particular.
Introduction to Algebraic Coding Theory
The Study of Information in the Transdisciplinary editedPerspectivebyGordana Dodig-Crnkovic (Chalmers University of Technology, Sweden & Mälardalen University, Sweden) & Mark Burgin (University of California, Los Angeles, USA)
Introduction to Models and Methods by Richard J Boucherie (University of Twente, The Netherlands), Aleida Braaksma (University of Twente, The Netherlands) & Henk Tijms (Vrije University Amsterdam, The Netherlands)
Collaboration of researchers from different areas and fields opens new perspectives for the understanding of information essential in the innovative development of science, technology and society.
Readership: Undergraduate students in operations research, engineering, business analytics, mathematics, computer science, econometrics and quantitative economics.
Part I: An Introduction to the Fundamental byConcepts
The Power of Computational Thinking Games, Magic and Puzzles to Help You Become a Computational Thinker by Paul Curzon & Peter W McOwan (Queen Mary University of London, UK)
A recipe book of mathematical models that can be enlivened by the transmutation of equations into computer code. In this volume, the examples chosen are an eclectic mix of systems and stories rooted in common experience.
“A huge need and an outstanding author team with a glowing track record in this precise area. What more do you want?” Simon Peyton Jones (FRS), Microsoft Research, Cambridge UK “A wonderful book full of ideas with which to inspire and engage in computational thinking. Core concepts and principles are brought to life in fun and engaging ways through puzzles, magic tricks and games. This is a must-have book for Computing teachers.” Dr Kevin R Bond, Managing Director, Educational Computing Services Ltd
This book is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves as a general introduction to the above-mentioned areas of mathematical modelling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature. In particular the relevant role played by some special functions is pointed out along with their visualization through plots.
A Concise Introduction by Jiongmin Yong (University of Central Florida, USA)
An Introduction to Mathematical Models (2nd Edition) by Francesco Mainardi (University of Bologna, Italy)
BestsellerBestsellerBestseller
Mathematics Catalogue 2022 20
Optimization Theory
288pp Jan 2022 978-1-80061-121-4(pbk) US$48 £40 978-1-80061-107-8 US$88 £75
A slim book such as this which touches on major aspects of optimization theory will be very much needed for most readers. We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization.
Arieh Ben-Naim (The Hebrew University of Jerusalem, Israel)
Readership: A book for early undergraduate and keen high school students of Mathematics, Physics, Economics, Chemistry, Engineering, Computer Science, and Biology. Teachers and lecturers should consider using this to assist with teaching STEM subjects.
Fractional Calculus and Waves in Linear Viscoelasticity
Readership: Engineers, graduate students and researchers in applied sciences.
Readership: Suitable as a general book for all those interested in lay science or recreational maths, or just interested in learning more about computational thinking; school pupils studying the new programming based national curriculum in computer science, and teachers’ upskilling to teach programming.
Information Theory
368pp Jun 2017 978-981-3208-83-4(pbk) US$34 £28 978-981-3208-82-7 US$78 £65
An Interdisciplinary Perspective edited by Pauline Barrieu (London School of Economics and Political Science, UK)
Dialogues Around Models and Uncertainty
376pp May 2020 978-1-78634-774-9 US$118 £105
Readership: Undergraduates; graduates and researchers interested in classical and basic optimization theory. 236pp May 2018 978-981-3237-64-3 US$78 £69
Andrew French (Winchester College, UK)
This book is about the definition of the Shannon measure of Information, and some derived quantities such as conditional information and mutual information. Unlike many books, which refer to the Shannon’s Measure of information (SMI) as “Entropy,” this book makes a clear distinction between the SMI and Entropy. This book presents the fundamental concepts of Information theory in a friendly-simple language and is devoid of all kinds of fancy and pompous statements made by authors of popular science books who write on this subject. It is unique in its presentation of Shannon’s measure of information, and the clear distinction between this concept and the thermodynamic entropy.
Science by Simulation Volume 1: A Mezze of Mathematical byModels
This title presents the views and understandings of eminent people in their respective fields through interviews on the topic of modelling and uncertainty. It helps to bridge some of the gaps encountered by those carrying out inter- and multi-disciplinary research and suggests new approaches to modelling and uncertainty quantification.
This book helps develop a better understanding of how researchers from different scientific backgrounds view models and uncertainty. It provides key steps in fostering and encouraging interdisciplinary research, which is vital in addressing several big issues that society faces today, such as climate change, longevity, financial and actuarial risk management. To make progress in these areas, researchers must develop an understanding of differing perspectives and methods of those working in other disciplines.
232pp Jan 2017 978-1-78634-184-6(pbk) US$24 £20 978-1-78634-183-9 US$58 £48
Rather than a ‘what’ of Science, this book is aimed at the ‘how’, readily applied to projects by students and professionals. Written in a friendly style based upon the author’s expertise in teaching and pedagogy, this mathematically rigorous book is designed for readers to follow arguments step-by-step with stand-alone chapters which can be read independently.
Readership: Students and researchers in information theory.
Readership: Mathematicians interested in modelling, uncertainty, and conversations with researchers working in this field.
400pp Jul 2022 978-1-78326-398-1 US$158 £140
A principal goal of this volume is to provide a working knowledge of SDE based on the premise that familiarity with the basic elements of a stochastic calculus for random processes is unavoidable.
Readership: Advanced undergraduate and graduate students in finance and actuarial science; researchers and practitioners involved in quantitative analysis of interest rate models.
376pp Sep 2021 978-981-122-660-1 US$118 £105
Advanced Series on Statistical Science and Applied Probability - Vol 22 Stochastic Interest Rate Modeling with Fixed Income Derivative Pricing (3rd Edition) by Nicolas Privault (Nanyang Technological University, Singapore)
Readership: Advanced undergraduate and graduate students, and researchers in mathematics, physics, chenistry, amongst others, who are interested in the anomalous diffussion phenomena.
Anomalous Diffusion
This book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM
MATHEMATICAL COMPUTATION & MATHEMATICALMODELINGFINANCE & ECONOMICS
Lectures on Mathematical Finance and Related Topics
268pp Jan 2020 978-981-121-299-4 US$98 £85
From Statistics to Mathematics by Weihua Deng, Ru Hou, Wanli Wang & Pengbo Xu (Lanzhou University, China)
Readership: Students in mathematical economics / game theory / econometrics.
Readership: Undergraduates, graduates, research students, professionals with interests in mathematical biology, stochastic processes and infectious diseases. 476pp Aug 2019 978-981-3274-60-0 US$118 £105 Bestseller
21
This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.
WORLD SCIENTIFICFor more information, visit: www.worldscientific.com Modeling
Thisframeworks.thirdedition represents a significant update on the second edition. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises.
Submit your paper to this journal. Recommend this journal to your librarian! FREE access to the selected articles. *Please log in to your existing account or register for a FREE account to enjoy this.
Bestseller Stochastic Models in the Life Sciences and Their Methods of Analysis by Frederic Y M Wan (University of California, Irvine, USA) "… the volume is impressively accessible.
Readership: It can be used for a yearlong advanced graduate course for mathematical students.
Essential Textbook
Rigorous mathematical finance relies strongly on two additional fields: optimal stopping and stochastic analysis. This book is the first one which presents not only main results in the mathematical finance but also these “related topics” with all proofs and in a self-contained form. The book treats both discrete and continuous time mathematical finance. Some topics, such as Israeli (game) contingent claims, and several proofs have not appeared before in a self-contained book form. The book contains exercises with solutions at the end of it and it can be used for a yearlong advanced graduate course for mathematical students.
The result is a book that is valuable and approachable for biologists at all levels, including those interested in deepening their skills in mathematical modeling and those who seek an overview to aid them in communicating with collaborators in mathematics and statistics. The former group of readers may especially appreciate the first chapter, an introduction to key concepts in probability, and the set of ten assignments provided as an appendix." CHOICE
344pp Dec 2019 978-981-120-956-7 US$118 £105
408pp Aug 2020 978-981-3227-34-7 US$88 £75
A Course in Game Theory by Thomas S Ferguson (University of California, Los Angeles, USA) Games are characterized by a number of players or decision makers who interact, possibly threaten each other and form coalitions, take actions under uncertain conditions, and finally receive some benefit or reward or possibly some punishment or monetary loss. In this text, we present various mathematical models of games and study the phenomena that arise. In some cases, we will be able to suggest what courses of action should be taken by the players. In others, we hope simply to be able to understand what is happening in order to make better predictions about the future.
https://www.worldscientific.com/m3as Details on page 38
Key Features • Includes many graphs and code illustrating the modeling of interest rates • Each chapter is accompanied with exercises and solutions
by Yuri Kifer (Hebrew University of Jerusalem, Israel)
This book describes several techniques, first invented in physics for solving problems of heat and mass transfer, and applies them to various problems of mathematical finance defined in domains with moving boundaries. These problems include: (a) semi-closed form pricing of options in the one-factor models with time-dependent barriers (Bachelier, Hull-White, CIR, CEV); (b) analyzing an interconnected banking system in the structural credit risk model with default contagion; (c) finding first hitting time density for a reducible diffusion process; (d) describing the exercise boundary of American options; (e) calculating default boundary for the structured default problem; (f) deriving a semi-closed form solution for optimal meanreverting trading strategies; to mention but some.
This book provides the reader with user-friendly applications of normal distribution. In several variables it is called the multinormal distribution which is often handled using matrices for convenience. The author seeks to make the arguments less abstract and hence, starts with the univariate case and moves progressively toward the vector and matrix cases. The approach used in the book is a gradual one, going from one scalar variable to a vector variable and to a matrix variable. The author presents the unified aspect of normal distribution, as well as addresses several other issues, including random matrix theory in physics.
Readership: Graduate students, scholars and academics in mathematical finance or applied mathematics.
www.worldscientific.com/page/ecatalogues£150
Readership: Undergraduates and graduate students in applied mathematics, economics, business, finances and systems biology; non-experts interested in the application of mathematical methods and ideas in natural and social sciences, business and life.
496pp May 2021 978-981-123-528-3 US$118 £105
Readership: Graduate students in economics, business, management, statistics, applied mathematics, and related fields. 524pp Aug 2020 978-981-122-018-0 US$128 £115
Readership: Students and professionals from quantitatively-oriented fields such as mathematics, computer science, finance, economics, banking, and supply chain management. 480pp Aug 2021 978-981-122-152-1(pbk) US$68 £60 978-981-122-151-4 US$138 £120
Mathematics Catalogue 2022 22 Understanding Game Theory
Blockchain and Distributed Ledgers Mathematics, Technology, and Economics by Alexander Lipton (Sila Money, USA & Hebrew University of Jerusalem, Israel) & Adrien Treccani (METACO, Switzerland)
Foundations of Modern Econometrics A Unified Approach by Yongmiao Hong (Cornell University, USA)
The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels. To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used.
This book develops a coherent set of econometric theory, methods and tools for economic models. Key Features • It covers, in a progressive manner, various econometrics models and related methods from conditional means to possibly nonlinear conditional moments to the entire conditional distributions, and this is achieved in a unified and coherent framework. • It provides various intuitions, explanations and potential applications for important econometric concepts, theories and methods from an economic perspective. Economic examples are also provided to motivate important econometric methods and models. Such training is indispensable in teaching and learning econometrics
508pp Sep 2021 978-981-123-173-5 US$168
Prof. Alex Pentland, Toshiba Professor, MIT
Generalized Integral Transforms in Mathematical Finance by Andrey Itkin (New York University, USA), Alexander Lipton (Hebrew University of Jerusalem, Israel & MIT Connection Science, USA) & Dmitry Muravey (Moscow State University, Russia)
“This book is a nice textbook on modern econometrics. It is essentially based on the author’s lecture notes taught at Cornell University and several universities in China ... The text provides a clear, understandable introduction to key concepts of econometrics.” zbMATH
Introduction to the Analysis of Many Agent Systems with Competition and Cooperation (2nd Edition) by Vassili N Kolokoltsov (The University of Warwick, UK & St. Petersburg State University, Russia) & Oleg A Malafeyev (St. Petersburg State University, Russia)
Readership: Economics and Finance academics and students; Mathematics and statistics academics and students.
412pp Sep 2020 978-981-121-485-1 US$128 £115
“An amazing tour-de-force, and a must-read for anyone hoping to build distributed ledger systems for financial transactions. Good material for both students and experts alike.”
This textbook focuses on distributed ledger technology (DLT) and its potential impact on society at large. It aims to offer a detailed and self-contained introduction to the founding principles behind DLT accessible to a well-educated but not necessarily mathematically oriented audience. Not surprisingly, amid increasing applications of DLT, misconceptions are formed over its use. The book thoroughly dispels these misconceptions via an impartial assessment of the arguments rooted in scientific reasoning.
The Multivariate Normal Distribution Theory and Applications by Thu Pham-Gia (Université de Moncton, Canada)
This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory.
Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science. 380pp Sep 2021 978-981-123-647-1 US$148 £130
This book is more modern than the current textbook in medical statistics. In this book, biostatistics and epidemiologic concepts are nicely blended. In contrast to the fallacy of the p-value, it introduces the Bayes factor as a measure of the evidence hidden in the sample data. It illustrates the application of the regression to the mean in medicine. Many epidemiologic concepts such as sensitivity and specificity of the diagnostic test, classification and discrimination, types of bias, etc. are discussed in the book.
MATHEMATICAL LOGIC & FOUNDATIONS Bestseller
Medical Statistics A Practical Approach by Tze-San Lee (Western Ilinois University, USA)
For the last few decades researchers from different fields gather their findings and knowledge trying to give a shape to the new science of complex systems. To address this problem, new tools and methods have to be established. A new, or more precisely an alternative, framework for the characterization of complex system was proposed. In this book we will introduce the applicability of applicability of simplicial complexes in the science of complex systems. After introducing the main definitions and properties of simplicial complexes necessary for representation and analysis of complex systems, we will illustrate the usefulness and versatility of tools and concepts related to the simplicial complexes.
23 For more information,
This book consists of four parts, from the basic to the advanced levels of medical statistics (biostatistics). Part 1 is on basic Statistics with descriptive statistics, parameter estimation and hypothesis test, simple correlation and regression. Part 2 is on Study Design and Implementation with sampling survey, interventional study, observational study, diagnosis study, data sorting and article writing. Part 3 is a curated course of Multivariate Analyses with complex analyses of variance, variety of regressions and classical multivariate analyses. Part 4 is a seminar course on Introduction to Advanced Statistical Methods with meta-analysis, time series, item response theory, structure equation model, multi-level model, bio-informatics, genetic statistics and data mining.
MATHEMATICAL BIOLOGY
Readership: Undergraduates in Logical and Critical Thinking courses, general public with interests in Logical Puzzles. Mathematical Magic, Logic Games, Creative Problem Solving, Computational Thinking. 190pp Aug 2021 978-981-121-624-4(pbk) US$48 £40 978-981-121-684-8 US$98 £85
Readership: Undergraduates and graduates in medicine, all practising physicians. 428pp Jan 2021 978-981-121-842-2(pbk) US$58 £50 978-981-121-751-7 US$118 £105
148pp May 2021 978-981-122-631-1 US$78 £70
Social life of bacteria is in the focus of recent research. Bacteria are simple enough to be accessible by science, but still complex enough to show cooperation, division of labor, bet-hedging, cross-talk and synchronized activities, and a rich variety of social traits. A central question of evolutionary theory is the explanation why this social life did develop, and why these systems are evolutionary stable. This book introduces the reader into the theory of evolution, covering classical models and as well as recent developments. The theory developed is used to represent the up-to-date understanding of social bacteria.
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580pp Mar 2020 978-981-120-549-1 US$158 £140
Mathematical Population Genetics and Evolution of Bacterial Cooperation by Volker Hösel, Christina Kuttler & Johannes Müller (Technical University Munich, Germany)
Simplicial Complexes in Complex Systems In Search for Alternatives by Yi Zhao (Harbin Institute of Technology Shenzhen, China) & Slobodan Maletić (University of Belgrade, Serbia)
Readership: Graduate students, lecturers and researchers interested in mathematical evolutionary theory.
Readership: Students and professional in mathematics, complex analysis and mathematical biology research.
Statistical Methods for Biomedical Research by Jiqian Fang (Sun Yat-sen University, China)
Readership: Biostatisticians, applied statisticians researchers and applied mathematicians. 1160pp Mar 2021 978-981-122-886-5
US$238 £210
Thinking Matters Module I Critical Thinking as Creative Problem Solving by Gary Mar (Stony Brook University, USA)
The goals of this book is to help you: to be more creative, fluid, and perceptive in solving problems; to identify the implicit premises, fallacies, or moral principles that are presupposed in the arguments of others; to be able to advocate for what you believe by effectively refuting opposing arguments and presenting persuasive arguments of your own; to understand the logic of scientific testing to distinguish between science and pseudo-science; to develop your own style and intuitive powers of logical deduction, probabilistic reasoning, and computational thinking. This book introduces the student to all the above topics — logic, probability, argument forms and fallacies, ethical reasoning, algorithms, and computational thinking — through logic puzzles and games and mathematical magic tricks.
Proof and Computation II From Proof Theory and Univalent Mathematics to Program Extraction and editedVerificationbyKlaus Mainzer (Technische Universität München, Germany), Peter Schuster (Università degli Studi di Verona, Italy) & Helmut Schwichtenberg (Ludwig-MaximiliansUniversität München, Germany)
World Scientific Series in Information Studies Trilogy of Numbers and Arithmetic
350pp Feb 2022 978-981-123-683-9 US$118 £105 World Scientific Series in 21st Century Mathematics - Volume 1 Fields Medallists’ Lectures (3rd Edition) edited by Sir Michael Atiyah (University of Edinburgh, UK), Daniel Iagolnitzer (CEA-Saclay, France) & Chitat Chong (NUS, Singapore)
Readership: Students and researchers in mathematics and computer science. 572pp Jul 2020 978-981-122-034-0 US$168 £150
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics. The medal is awarded to the best mathematicians who are 40 or younger, every four years.
Readership: Mathematicians and mathematical physicists.
1116pp Aug 2015 978-981-4696-18-0(pbk) US$58 £48 978-981-4696-17-3 US$96 £80
CHOICE
Book 1: History of Numbers and Arithmetic: An Information Perspective by Mark Burgin (University of California, Los Angeles, USA)
GENERAL PURE MATHEMATICS & GENERAL APPLIED MATHEMATICS
Problems and Solutions in Mathematics (2nd Edition) edited by Ta-Tsien Li (Fudan University, China)
Mathematics Catalogue 2022 24 Structure and Randomness in Computability and Set Theory edited by Douglas Cenzer (University of Florida, USA), Christopher Porter (Drake University, USA) & Jindrich Zapletal (University of Florida, USA)
Readership: Graduate students and researchers interested in the interface between set theory and computability. 388pp Oct 2020 978-981-3228-22-1 US$12 £115
This book will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in such a way basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. At the same time, a diversity of new classes of numbers and arithmetics were introduced in the 20th century.
How to Measure the Infinite Mathematics with Infinite and Infinitesimal byNumbers
A list of Fields Medallists and their contributions provides a bird’s-eye view of the major developments in mathematics over the past 80 years. It highlights the areas in which, at various times, the greatest progress has been made.
US$118 £105 Bestseller
Vieri Benci & Mauro Di Nasso (Università di Pisa, Italy)
Readership: PhD mathematics students and lecturers. 804pp Mar 2011 978-981-4304-96-2(pbk) US$82 £68 978-981-4304-95-5 US$158 £131 Exclusive Publisher!
Readership: Researchers and graduate students in mathematics, history, and philosophy.
The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs.
Relations: Concrete, Abstract, and Applied An Introduction by Herbert Toth
This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.
“This text shows that the study of the almostforgotten, non-Archimedean mathematics deserves to be utilized more intently in a variety of fields within the larger domain of applied mathematics.”
This book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis. The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.
Key Features: • Prominent contributors and institutions: such as George Barmpalias (Chinese Acad. Sci. and U. Wellington, NZ), Andreas Blass (Fellow of AMS, U. Michigan), Andy LewisPye (London School of Economics)
This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSFsupported annual Southeastern Logic Symposium.
This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.
Readership: Advanced undergraduate and graduate students in mathematics and philosophy. 348pp Feb 2019 978-981-283-637-3
On the Computable and Reverse Mathematics of Combinatorial Principles by Denis R Hirschfeldt (The University of Chicago, USA) edited by Chitat Chong (NUS, Singapore), Qi Feng (Chinese Academy of Sciences, China), Theodore A Slaman (UC Berkeley), W Hugh Woodin (Harvard) & Yue Yang (NUS, Singapore)
Readership: Graduate students and researchers in logic, set theory and related fields. 236pp Dec 2013 978-981-4571-57-9 US$75 £62
Mathematical Reviews Clippings
“The book gathers together in one place most of the theorems known about where Ramsey Theory and some variants of it fit into the Reverse Mathematics framework. The book also discusses many combinatorial principles that the reader may not realize are really Ramsey Theory, but they are!” SIGACT News
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 37 Mathematics of Shapes and Applications edited by Sergey Kushnarev (Singapore University of Technology and Design, Singapore), Anqi Qiu (National University of Singapore, Singapore) & Laurent Younes (Johns Hopkins University, USA)
364pp Feb 2020 978-981-120-608-5 US$128 £115
The volume illustrates this wealth of subjects by providing new contributions on the metric structure of diffeomorphism groups and shape spaces, recent developments on deterministic and stochastic models of shape evolution, new computational methods manipulating shapes, and new statistical tools to analyze shape datasets. In addition to these contributions, applications of shape analysis to medical imaging and computational anatomy are discussed, leading, in particular, to improved understanding of the impact of cognitive diseases on the geometry of the brain.
Each volume of the IMS Lecture Notes Series is a compendium of papers based on lectures and tutorials delivered at the IMS.
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 28 Slicing the Truth
Readership: Graduates and researchers in mathematical logic. 232pp Jul 2014 978-981-4612-61-6 US$46 £38
Book Series: LECTURE NOTES SERIES, INSTITUTE FOR MATHEMATICAL SCIENCES, NATIONAL UNIVERSITY OF SINGAPORE
25 WORLDFor more information, visit: www.worldscientific.com
Readership: Academic researchers in physics, statistics and bioinformatics. 240pp Nov 2005 978-981-256-427-6 US$136 £113
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 26 Notes on Forcing Axioms by Stevo Todorcevic (University of Toronto, Canada) edited by Chitat Chong (NUS, Singapore), Qi Feng (NUS, Singapore), Theodore A Slaman (UC Berkeley), W Hugh Woodin (UC Berkeley) & Yue Yang (NUS, Singapore)
In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach–Steinhaus Boundedness Principle. This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique.
“The book is very well organized and the author presents a very clear picture of the complex relations between the many principles that arise in connection with Ramsey’s Theorem. The book has a continuous stream of exercises and extensive references to the literature, which make it very suitable as an introduction to the reverse mathematics and computability theory of combinatorial principles. The book has excellent coverage and the author frequently points to references for further discussion.”
Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic.
The Institute for Mathematical Sciences (IMS) organizes thematic programs of longer duration as well as shorter workshops and public lectures. The themes are selected from among areas at the forefront of current research in the mathematical sciences and their applications.
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 7 Markov Chain Monte Carlo Innovations and applications by W S Kendall (University of Warwick, UK), F Liang (Texas A&M University, USA) & J-S Wang (National University of Singapore)
.
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Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology.
The aim is to make original papers and expository articles on a subject of current interest available to the international research community. These volumes also serve as a record of activities that took place at the IMS. More details at https://www.worldscientific.com/series/oibtp
SCIENTIFIC
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 38 Genealogies of Interacting Particle Systems edited by Matthias Birkner (Johannes Gutenberg-Universität Mainz, Germany), Rongfeng Sun (National University of Singapore, Singapore) & Jan M Swart (The Czech Academy of Sciences, Institute of Information Theory and Automation, Czech Republic)
Readership: Graduate students, university professors, researchers and professional mathematicians interested in probability theory, and models arising from population genetics.
Readership: Graduate students, applied mathematicians, statisticians, computer scientists and biomedical engineers. 220pp Nov 2019 978-981-120-012-0 US$88 £75
This book provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.
Must-Have
US$19.95 £20 978-981-124-073-7 US$48 £40
The Deepest Connections by Michael Edgeworth McIntyre (University of Cambridge, UK)
Readership: Undergraduates, graduates, researchers, educators interested in Science, Mathematics and Music. 120pp Nov 2021 978-981-124-183-3(pbk)
The Development of Mathematics Between the World Wars edited by Martina Bečváová (Czech Technical University in Prague, Czech Republic)
Readership: Researchers in mathematics education.
Problem Solving in Mathematics and Beyond - Vol 15 Teaching Secondary School Mathematics Techniques and Enrichment by Alfred S Posamentier & Beverly Smith (City University of New York, USA)
Best Practices from Business and Beyond for Mathematics Teachers by Denise H Sutton (City University of New York, USA) & Alfred S Posamentier (City University of New York, USA)
Key Features • The book takes a different approach to best practices in education by implementing innovative ideas from the world of business and beyond • This book helps educators motivate students through media familiar to students such as various social media platforms
Readership: Science historians, mathematics historians and any mathematician interested in the history of mathematics. Will also be of interest to general historians and the general public interested in modern history. 624pp May 2021 978-1-78634-930-9
Readership: Mathematics teachers at all levels (especially Secondary school), College Mathematics professors. 224pp Feb 2021 978-981-123-304-3(pbk) US$38 £35 978-981-123-166-7 US$78 £70
A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics.
Key Features • No title with the same scope is available in English • A unique feature of the book is the emphasis (in the first eight chapters) on the situation in Central and Eastern European countries
The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problemsolving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.
Science, Music, and Mathematics
Problem Solving in Mathematics and Beyond - Vol 24
US$188 £165
East China Normal University Scientific Reports - Vol 2 School Mathematics Textbooks in China Comparative Studies and Beyond edited by Jianpan Wang (East China Normal University, China) Associate editor: Lianghuo Fan (East China Normal University, China), Associate editor: Binyan Xu (East China Normal University, China)
Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.
592pp Feb 2021 978-981-4713-94-8(pbk) US$98 £85 978-981-4713-93-1 US$188 £165
Innovative Teaching
This book traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.
Mathematics Catalogue 2022 26
MATHEMATICS EDUCATION for all Teachers
US$178 £155
Professor Michael Edgeworth McIntyre is an eminent scientist who has also had a part-time career as a musician. From a lifetime’s thinking, he offers this extraordinary synthesis exposing the deepest connections between science, music, and mathematics, while avoiding equations and technical jargon. He begins with perception psychology and the dichotomization instinct and then takes us through biological evolution, human language, and acausality illusions all the way to the climate crisis and the weaponization of the social media, and beyond that into the deepest parts of theoretical physics — demonstrating our unconscious mathematical abilities.
Readership: In-service teachers, students, general public. 1044pp Oct 2020 978-981-121-141-6
244pp Dec 2020 978-981-122-551-2(pbk) US$38 £35 978-981-122-767-7 US$88 £75
Readership: Graduate students, researchers, practitioners, and teachers in mathematics.
248pp Apr 2021 978-981-123-697-6 US$98 £85
The Art and Practice of Mathematics Interviews at the Institute for Mathematical Sciences, National University of Singapore, 2010 – 2020 by Yu Kiang Leong
444pp Aug 2021 978-981-121-958-0 US$128 £115 Mathematics — Connection and Beyond Yearbook 2020 Association of Mathematics Educators by Tin Lam Toh (Nanyang Technological University, Singapore) & Ban Heng Choy (Nanyang Technological University, Singapore)
WORLD SCIENTIFIC
Readership: Practicing and preservice mathematics teachers at the secondary school level. It can also be used by students and parents who want to enhance their students’ appreciation and love for mathematics.
556pp Jun 2021 978-981-124-097-3(pbk) US$78 £70 978-981-124-042-3 US$168 £150
There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!
In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications.
Key Features • This book integrates the ideas presented in it as best ways to learn. It doesn’t just highlight the concepts; they will also be put into practice utilizing exercises and homework • This book is meant to be used as a textbook as well as a journal that students can and should write in
The Science of Learning Mathematical Proofs An Introductory Course by Elana Reiser (St. Joseph’s College, USA)
27 For more information, visit:
The book also includes some interesting, entertainment problems. To solve them, no special knowledge is required.
Readership: Students and Mathematics instructors at high school, undergraduate students. 380pp Jul 2021 978-981-123-284-8(pbk) US$48 £40 978-981-123-120-9 US$88 £75
Readership: Mathematicians, physicists, mathematical scientists, scientific researchers, educators, historians of mathematics, historians of science, historians of ideas, students and non-specialists interested in mathematical sciences.
www.worldscientific.com
Problem Solving in Mathematics and Beyond - Vol 26 Creative Secondary School Mathematics 125 Enrichment Units for Grades 7 to 12 by Alfred S Posamentier (City University of New York, USA)
College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best.
This book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists who visited the Institute for Mathematical Sciences, National University of TheSingapore.topicscovered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer science and financial mathematics. This eclectic mix of the abstract and the concrete should interest those who are enthralled by the mystique and power of mathematics, whether they are students, researchers or the non-specialists.
The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications.
This book contains 11 chapters from various experts all over the world on mathematics education. It provides different perspective of how to establish connection within mathematics and beyond. The ideas are from different authors internationally and is practice-oriented, based on empirical studies conducted by the various authors. This is a good illustration of linking theory with practice.
Readership: Undergraduate in mathematics majors, for use in an undergraduate introduction to mathematical proofs course.
Problem Solving in Mathematics and Beyond - Vol 23 Learning Trigonometry by Problem Solving by Alexander Rozenblyum (The City University of New York, USA) & Leonid Rozenblyum
500pp Sep 2021 978-981-123-144-5(pbk) US$48 £40 978-981-122-991-6 US$98 £85
500pp Sep 2021 978-981-123-142-1(pbk)
Readership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts. 220pp Oct 2019 978-981-121-207-9(pbk) US$28 £25 978-981-121-103-4 US$58 £50
Algebraic Inequalities In Mathematical Olympiad and Competitions by Ji Chen & Chaocheng Ji (Ningbo High School, China)
Translated by Jiu Ding (University of Southern Mississippi, USA)
Mathematics Catalogue 2022 28 World Century Mathematical Olympiad Series - Volume 2
Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.
Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions. 312pp Jul 2011 978-981-4327-87-9(pbk) US$38 £32 For more information, visit: www.worldscientific.com
200pp Oct 2021 978-1-938134-92-0(pbk)
Translated by Huanxin Xie (East China Normal University No. 2 Affiliated Middle School, China)
Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.
US$48 £40 978-981-122-985-5 US$98 £85
Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions.
Mathematical Olympiad Series - Volume 1 A First Step to Mathematical Olympiad Problems by Derek Holton (University of Otago, New Zealand)
US$48 £40 978-981-122-988-6 US$98 £85
500pp Sep 2021 978-981-123-141-4(pbk) US$48 £40 978-981-122-982-4 US$98 £85
Translated by Chaocheng Ji (Ningbo High School, China), Huyue Shen (Zhenhai High School, China) & Ruhe Wang (Zhenhai High School, China)
Translated by Fangfang Lang (Shanghai Qibao Dwight High School, China) & Yichao Ye (Shanghai Qibao High School, China)
Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.
Mathematical Olympiad Series - Volume 16 Sequences and Mathematical Induction In Mathematical Olympiad and Competitions (2nd Edition) by Zhigang Feng (Shanghai Senior High School, China)
Problems and Solutions in Mathematical Olympiad High School 1 by Bin Xiong (East China Normal University, China) & Zhigang Feng (Shanghai Senior High School, China)
Problems and Solutions in Mathematical Olympiad High School 3 by Hong-Bing Yu (Suzhou University, China)
Problems and Solutions in Mathematical Olympiad High School 2 by Shi-Xiong Liu (South China Normal University, China )
500pp Sep 2021 978-981-123-143-8(pbk)
Mathematical Olympiad Series - Volume 7 A Second Step to Mathematical Olympiad Problems by Derek Holton (University of Otago, New Zealand & University of Melbourne, Australia)
MATHEMATICS OLYMPIAD
Translated by Feng Ma & Youren Wang
Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions. 292pp Aug 2009 978-981-4273-87-9(pbk) US$35 £29
US$38 £32 978-1-938134-95-1 US$68 £56
Translated by Tianyou Zhou (Shanghai High School, China)
Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.
Problems and Solutions in Mathematical Olympiad Secondary 3 by Jun Ge (Nanjing Normal University, China)
In Mathematical Olympiad and Competitions by Gangsong Leng (Shanghai University, China)
In Mathematical Olympiad and Competitions by Bin Xiong (East China Normal University, China) & Zhongyi Zheng (High School Attached to Fudan University, China)
In 2 Volumes
Mathematical Olympiad Series - Volume 12 Geometric Inequalities
In Mathematical Olympiad and Competitions by Yong Su (Peking University, China) & Bin Xiong (East China Normal University, China)
Translated by Yongming Liu (East China Normal University, China)
WORLD SCIENTIFICFor more information, visit: www.worldscientific.com
29
Mathematical Olympiad Series - Volume 11 Methods and Techniques for Proving Inequalities
MATHEMATICS OLYMPIAD
Mathematical Olympiad in China (2007-2008)
Mathematical Olympiad Series - Volume 3 Graph Theory
Translated by Ruifang Liu (East China Normal University, China), Mingqing Zhai (East China Normal University, China) & Yuanqing Lin (East China Normal University, China)
Readership: Students, educators and general public interested in geometry and topology. 356pp May 2017 978-981-4583-74-9(pbk) US$34 £28 978-981-4590-72-3 US$58 £48
228pp Oct 2015 978-981-4696-45-6(pbk) US$32 £27 978-981-4704-12-0 US$52 £43
Readership: High-school mathematics students and teachers, coaches of mathematical olympiads, undergraduates and graduates in mathematics, non-experts interested in mathematical competitions.
144pp Oct 2015 978-981-4696-48-7(pbk) US$25 £21 978-981-4704-13-7 US$48 £40
Problems and Solutions by Xiong Bin (East China Normal University, China) & Lee Peng Yee (Nanyang Technological University, Singapore)
For Junior Section (In 2 Volumes) by Jiagu Xu (Former Professor of Mathematics, Fudan University, China)
Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts. 376pp (SET) Dec 2009 978-981-4293-53-2(pbk) (set) US$40 £33 Vol. 1 184pp Dec 2009 978-981-4293-54-9(pbk) US$25 £21 Vol. 2 192pp Dec 2009 978-981-4293-55-6(pbk) US$25 £21 Mathematical Olympiad Series - Volume 10 Solving Problems in Geometry Insights and Strategies for Mathematical Olympiad and byCompetitions Kim Hoo Hang (NTU, Singapore) & Haibin Wang (NUS High School of Mathematics and Science, Singapore)
Readership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts.
Readership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts.
Mathematical Olympiad Series - Volume 13 Combinatorial Extremization In Mathematical Olympiad and Competitions by Yuefeng Feng (Shenzhen Senior High School, China)
Readership: Researchers, educators, lecturers, and students interested in mathematics and education. 276pp Jun 2007 978-981-270-789-5(pbk)
156pp Mar 2010 978-981-4271-12-7(pbk) US$34 £28
US$33 £27 Mathematical Olympiad Series - Volume 6 Lecture Notes on Mathematical Olympiad Courses
Mathematical Olympiad in China Problems and Solutions by Xiong Bin (East China Normal University, China) & Lee Peng Yee (Nanyang Technological University, Singapore)
Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts. 220pp May 2009 978-981-4261-14-2(pbk) US$29 facebook.com/worldscientific£24 twitter.com/worldscientific
Readership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts. 232pp Feb 2016 978-981-4723-16-9(pbk) US$25 £21 978-981-4730-02-0 US$48 £40
• Much of the material is either new or has not seen in a book of this type • It is a unique blend of probability, statistics, computer modeling, sports, decision-making, quantum mechanics and the advertising business
Connecting More Than 60 Magic Tricks to High-Level Math by Ricardo V Teixeira & Jang-Woo Park (University of Houston-Victoria, USA)
Problem Solving in Mathematics and Beyond - Vol 2 Understanding Mathematics Through Problem Solving by Alfred S Posamentier (The City University of New York, USA) & Peter Poole (Mercy College New York, USA)
The Fate of Schrodinger’s Cat Using Math and Computers to Explore the byCounterintuitive
Origami with Explanations Having Fun with Folding and Math by Jeanine Meyer (SUNY Purchase, USA) & Takashi Mukoda
James D Stein (California State University Long Beach, USA)
More Origami with Explanations
Having Fun with Folding and Math by Jeanine Meyer (SUNY Purchase, USA) & Takashi Readership:Mukoda
For all ages, especially students in college classrooms. Good for home schooling and supplement for K-12 remote learning. 276pp Dec 2020 978-981-121-946-7(pbk) US$28 £25 978-981-122-008-1 US$58 £50 Bestseller
Readership: General public, mathematics teachers, mathematics enthusiasts. 304pp Aug 2020 978-981-121-928-3(pbk)
This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: • coun terintuitive solutions to simple mathematical problems • entertaining mathematical problems • important and useful mathematical solutions to problems • problem solutions for mathematics to general usage • visual mathematical problems
Key Features
This book will introduce you to origami, starting with a jumping frog and including traditional and modern models. Carefully written instructions, using photos and diagrams, will show you the main origami bases, turn you into a successful folder and stimulate your own creativity. Explanations will include attention to spatial relations, geometry, algebra, and pattern finding. The explanations provide insight into the origami while the folding will help your understanding of mathematics: • Cover Box and Business Card Frog • Fluttering Butterfly and Star Basket • Waterbomb, Tulip with Stem, Stellated Octahedron • Drinking Cup • Waterbomb Base Ornament and King David Crown
Problem Solving in Mathematics and Beyond - Vol 17
Problem Solving in Mathematics and Beyond - Vol 16 Mathematical Muffin Morsels Nobody Wants a Small Piece by William Gasarch, Erik Metz, Jacob Prinz & Daniel Smolyak (University of Maryland, USA)
US$48 £40 978-981-121-450-9 US$98 £85
Readership: General Public, undergraduate math teachers and students in mathematics, computer programming, quantum mechanics, sports or the advertising business. 172pp Jul 2020 978-981-121-815-6(pbk) US$28 £25 978-981-121-863-7 US$58 £50
Readership: General readership in mathematics. 532pp Mar 2020 978-981-4663-25-0(pbk) US$48 £40 978-981-4663-67-0 US$118 £105
Mathematics Catalogue 2022 30 POPULAR & RECREATIONAL MATHEMATICS
This book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations. The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondarygrade level.
Mathemagics: A Magical Journey Through Advanced Mathematics
US$36 £30 978-981-121-990-0 US$78 £70
This book presents over 60 different magic tricks while introducing students to high-level math areas. Readers will learn really interesting ideas that will better prepare them for future courses and help them finding areas they might want to study deeper. And as a “side effect” students will learn amazing magic tricks, century-old secrets, and details from famous magicians and mathematicians. The material was written to quickly present key concepts in several mathematical areas in direct way.
This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a “hot hand” in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger’s Cat.
BestsellerBestseller
Problem Solving in Mathematics and Beyond - Vol 18 Mathematics Entertainment for the Millions by Alfred S Posamentier (City University of New York, USA)
Readership: High school and college students, general public. 408pp May 2020 978-981-121-530-8(pbk)
Readership: High school and undergraduate stu dents, computer scientists, mathematicians, and anyone interested in recreational mathematics. 228pp May 2020 978-981-121-597-1(pbk) US$28 £25 978-981-121-517-9 US$58 £50
Readership: Public and students in college classrooms. 252pp Dec 2020 978-981-121-943-6(pbk) US$28 £25 978-981-122-007-4 US$58 £50
193pp Dec 2020 978-981-122-461-4(pbk) US$14 £10 978-981-122-460-7 US$39 £35
Algebra for Parents
Selected Problems from the Styrian Mid-Secondary School Mathematics byCompetitions
It is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. It can also be used as an entry door to the research field of history of Chinese mathematics.
Problem Solving in Mathematics and Beyond X Games Training in Sports to Play in Mathematics by Tim Chartier (Davidson College, USA)
The Empty and the Full: Li Ye and the Way of Mathematics
US$28 £25 978-981-122-603-8 US$68 £60
US$38 £35 978-981-122-600-7 US$78 £70 Vol. 2 978-981-122-651-9(pbk)200pp
www.worldscientific.com
Readership: People of all ages who are interested in Readership the Sudoku puzzles.
Problem Solving in Mathematics and Beyond - Vol 19 Mathematical Nuggets from Austria
412pp Nov 2020 978-981-121-925-2(pbk) US$36 £30 978-981-121-989-4 US$98 £85
Selected Writings on Recreational Mathematics and its History (In 2 Volumes) by David Singmaster (University College London, UK)
This book is composed of the most interesting problems from a quarter century of regional mathematics competitions in the province of Styria, Austria. The problems presented here range from pure puzzles to a more traditional mathematical type of question, but all are somehow special, posed with the intent of giving the reader something interesting to think about, with the promise of an entertaining moment of elucidation and enlightenment at the end.
A Book for Grownups about Middle School Mathematics by Ron Aharoni (Technion, Israel institute of Technology, Israel)
Problem Solving in Mathematics and Beyond - Vol 21
276pp Mar 2020 978-981-120-947-5
500pp Oct 2021 978-981-122-630-4(Set)(pbk)
Readership: Students, Teachers, Adults interested in solving mathematical puzzles, Trainers for Math Competitions.
Readership: General public, youth, secondary Mathematics teachers, professors. 252pp Dec 2020 978-981-122-487-4(pbk)
31 For more information, visit:
Robert Geretschläger (BRG Keplerstraβe, Austria) & Gottfried Perz (BG/BRG Pestalozzistraβe, Austria)
Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You’ll find many mathematical topics not involving sports. You’ll also see how sports analytics can train you broadly in mathematics. From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers.
US$48 £40 978-981-122-564-2(Set)
Readership: Students and scholars of mathematics and its history, Maths teachers, general public.
The author believes in the presentation and teaching of mathematics as recreation. When the Rubik’s Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. In these 2-volume books, the readers shall have an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts.
The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well as teachers who wish to learn principles of mathematics and of its teaching.
US$78 £70
US$98 £85
Geometrical Procedures by Section of Areas by Charlotte-V Pollet (National Chiao-Tung University, Taiwan)
Readership: Parents, educated grownups and teachers. 236pp Feb 2021 978-981-121-074-7(pbk) US$28 £25 978-981-120-922-2 US$78 £70
Key Features • Fun problems for all ages • Great fun for adults when they feel like tackling some puzzles of a more varied nature than those typically offered in newspaper puzzles collections or the like
Adventures in Recreational Mathematics
Readership: Readers who are interested in the histroy of mathematics, especially the history of Chinese mathematics and the contribution of ancient Chinese mathematicians.
Learn how to get in the game with sports and mathematics.
US$38 £35 978-981-122-383-9
WORLD SCIENTIFIC
Global Solution for Sudoku by Zhong-Qi Ma (Chinese Academy of Sciences, China)
Key Features: ○ The book is aimed at parents who want to follow the mathematics their children learn in middle school, or to help the child. It is also a “second chance” book, that may enlighten people about the mathematics they learnt long ago, and enhance their understanding
The present book aims to provide systematic and reliable techniques, called the global solution, for Sudoku puzzles. Any proper Sudoku puzzle, which has one and only one solution of Sudoku, can be solved by anyone following the techniques provided in this book. In the present book the solving process of those two difficult Sudoku puzzles are illustrated reliably by the specific symbols of the global solution step by step.
US$108 £95 Vol. 1 978-981-122-650-2(pbk)300pp
“This is a marvellous book. The diversity of possible puzzles that can be given with these very limited resources, which are basically some paper and scissors, is overwhelming, and the challenges are sometimes very tough. Even the two-star problems may be hard for an untrained puzzler. This is medicine against boredom on long rainy days, but be careful not to get addicted or it may suck up your less empty and sunny days as well.” European Mathematical Society 264pp Jan 2018 978-981-3202-41-2(pbk) US$28 £25 978-981-3202-40-5 US$48 £42
Vedic Mathematics A Mathematical Tale from the Ancient Veda to Modern Times by Giuseppe Dattoli, Silvia Licciardi & Marcello Artioli (ENEA, Italy)
Puzzles to Train Your Brain by David Goodman & Ilan Garibi LEARN SHORTCUTS Many of the puzzles will seem as though they will take longer than two minutes to solve, but ... there are shortcuts if you can find them!! There are faster ways to solve each problem and dilemma. The Two-Minute Puzzle Book will teach you to look for such loopholes and shortcuts!
The mathematical mind has modeled the evolution of societies and has been modeled by it. It is now in the midst of a great revolution and it is not clear where it will bring us. The current new epoch needs new mathematical tools and, above this, a new way of looking at Mathematics.
This book tells the tale of what went on and what might go on.
Lewis Carroll’s Cats and Rats ... and Other Puzzles with Interesting Tails by Yossi Elran (Weizmann Institute of Science, Israel)
Mathematical Labyrinths. Pathfinding by Boris Pritsker
The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis.
Problem Solving in Mathematics and Beyond - Vol 25 Geometry in Our Three-Dimensional World by Alfred S Posamentier (City University of New York, USA), Bernd Thaller (University of Graz, Austria), Christian Dorner (University of Vienna, Austria), Robert Geretschläger (Academic High School, Graz, Austria), Guenter Maresch (University of Salzburg, Austria), Christian Spreitzer (University College of Teacher Education Lower Austria, Austria) & David Stuhlpfarrer (University College of Teacher Education Styria, Austria)
Readership: From high schoolers to undergraduate and graduate students as well as general readers interested in the evolution of mathematical thoughts. 232pp May 2021 978-981-122-155-2 US$68 £60
This book provides an overview of various non-standard problems and the approaches to their solutions. The essential idea is a framework laid upon the reader on how to solve nonconventional problems — particularly in the realm of mathematics and logic. It is rather an entertaining and educational journey into the fascinating world of mathematical reasoning and logic. It is about finding the best path to a solution depending on the information given, asking and answering the right questions, analyzing and comparing alternative approaches to problem solving, searching for generalizations and inventing new problems.
There are match puzzles, tangram-related puzzles, paper puzzles, geometric puzzles and mathematical puzzles to tease and occupy all types of puzzlists. Some require intuition but all are two minutes away from a solution. 164pp Feb 2020 978-981-121-775-3 US$68 £60 978-981-121-319-9(pbk) US$28 £25
Readership: All people interested in geometry and science. General audience with a basic knowledge of high-school math. Teachers seeking ideas for a modern approach to teaching geometry with applications. 530pp Nov 2021 978-981-123-774-4(pbk) US$48 £40 978-981-123-710-2 US$118 £105 Bestseller
Readership: General public, math lovers of all ages, math teachers, puzzlers and magicians. 200pp Jun 2021 978-981-123-564-1(pbk)
“A fascinating journey in recreational mathematics and puzzles — touching on many new ideas, trends, and explanations. History, number pyramids, fractals, cellular automata, sudoku, magic squares, and much more are here to delight readers of all ages and backgrounds. Buy this book and feed your brain.”
Key Feature • More than 420 color illustrations that significantly enhance the perceptions
All You Need is Paper! by Ilan Garibi, David Goodman & Yossi Elran
US$19.90 £20 978-981-123-396-8 US$38 £35
The Paper Puzzle Book
Problem Solving in Mathematics and Beyond - Vol 22
Ian Stewart, Author of Professor Stewart’s Cabinet of Mathematical Curiosities
The Two-Minute Puzzle Book
Clifford A Pickover, Author of The Math Book and Artificial Intelligence: An Illustrated History Yossi Elran is co-author of our bestselling The Paper Puzzle Book, and heads the Innovation Center at the Davidson Institute of Science Education, the educational arm of the world-renowned Weizmann Institute of Science in Israel.
This is a book about Mathematics but not a book of Mathematics. It is an attempt, between the serious and facetious, of conveying the idea that a mathematical thought is the result of different experiences, geographical and social factors.
PUZZLES
“It’s not just about the puzzles! Cats and Rats also tells us about their historical and mathematical context, and how mathematicians think when they solve problems. Refreshing, challenging (but not too much so), fun, and unusual.”
Readership: G eneral public, secondary school and college undergraduate students and teachers, educationalists. 324pp Dec 2020 978-981-123-007-3(pbk) US$38 £35 978-981-122-823-0 US$88 £75
By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.
Mathematics Catalogue 2022 32
Distinguished Lecturer Professor Emeritus of Mathematics Education, and Former Dean (The City College of New York-City University of New York)
Check out all titles in the https://www.worldscientific.com/series/psmbseries:
KenKen: Math & Logic Puzzles That Will Make You Smarter! - Volume 2 KENKEN: Lim-Ops, No-Ops and Twist! 180 6 x 6 Puzzles That Make You editedSmarterby Robert Fuhrer (KenKen Puzzle, LLC, USA) 156pp Jun 2020 978-981-3235-84-7(pbk) US$12 £10 978-981-3236-67-7 US$38 £33
PROBLEM SOLVING IN MATHEMATICS & BEYOND
Created by: Tetsuya Miyamoto edited by Robert Fuhrer (KenKen Puzzle, LLC, USA) 280pp Aug 2020 978-981-3235-87-8(pbk) US$19 £15 978-981-3236-68-4 US$48 £42 Each of the books will be aimed at the general audience, which implies that the writing level will be such that it will not engulfed in technical language — rather the language will be simple everyday language so that the focus can remain on the content and not be distracted by unnecessarily sophiscated language.
Aims and Scope
WORLD SCIENTIFIC
Series Editor
Alfred S Posamentier, PhD
33 For more information, visit: www.worldscientific.com
There are countless applications that would be considered problem solving in mathematics and beyond. One could even argue that most of mathematics in one way or another involves solving problems. However, this series is intended to be of interest to the general audience with the sole purpose of demonstrating the power and beauty of mathematics through clever problem-solving experiences.
Book Series:
KenKen: Math & Logic Puzzles That Will Make You Smarter! - Volume 3 KENKEN: A Puzzle A Day! 365 Puzzles That Make You Smarter
Essential Textbooks in Physics How to Derive a Formula
Readership: Mathematicians and graduate students in mathematics. 308pp Nov 2019 978-981-3200-40-1(pbk)
Volume 1: Basic Analytical Skills and Methods for Physical byScientists Alexei A Kornyshev (Imperial College London, UK) & Dominic O’Lee (Imperial College London, UK)
Mathematics Catalogue 2022 34
US$38 £35 978-981-120-790-7 US$78 £70 Differential Forms by Victor Guillemin (Massachusetts Institute of Technology, USA) & Peter Haine (Massachusetts Institute of Technology, USA) First-year graduate and advanced undergraduate students in math programs. Mar 2019 978-981-121-377-9(pbk) US$48 £40 978-981-3272-77-4 US$88
Readership:
CLASSICAL£75
Readership: Undergraduates; graduates and researchers interested in classical and basic optimization theory. 236pp May 2018 978-981-3237-64-3 US$78 £69
US$58 £48 978-981-3200-39-5 US$98 £81 A First Look at Stochastic Processes by Jeffrey S Rosenthal (University of Toronto, Canada)
TITLES & BESTSELLERS
Problems with a Point Exploring Math and Computer Science by William Gasarch (University of Maryland, USA) & Clyde Kruskal (University of Maryland, USA)
Statistical Data Science by Niall Adams (Imperial College London, UK) & Edward Cohen (Imperial College London, UK)
Readership: Statisticians, mathematicians, computer scientists, data scientists, application users of data science and statistics. 192pp Apr 2018 978-1-78634-539-4 US$88 £75 For more information, visit: www.worldscientific.com
Readership: Senior undergraduate and graduate students in Mathematics, Statistics, Economics, Finance, Computer Science, Engineering, Physics, Actuarial Science, and readers who want to learn the foundations of stochastic processes — including Markov chains, martingales, continuous processes, and a variety of applications. 212pp Sep 2019 978-981-120-897-3(pbk)
2nd Edition by Nik Weaver (Washington University in St. Louis, USA)
Readership: Advanced and enthusiastic school students preparing for universities; science related undergraduate students; university lecturers. 704pp Feb 2020 978-1-78634-644-5(pbk) US$88 £75 978-1-78634-634-6 US$158 £140 Metric in Measure Spaces by J Yeh (University of California, Irvine, USA)
Readership: Students studying and/or interested in Mathematics and mathematical problems and professionals in the field of computer science. 284pp Dec 2018 978-981-3279-97-1(pbk) US$38 £35 978-981-3279-72-8 US$68 £60
Readership: Graduate students and specialists in functional analysis. 472pp May 2018 978-981-4740-63-0 US$148 £130 Optimization Theory A Concise Introduction by Jiongmin Yong (University of Central Florida, USA)
272pp
Lipschitz Algebras
Mathematics Abstracts Readership: Economists, financial engineers, mathematicians and physicists. 224pp Nov 1998 978-981-02-3543-7 US$58 £48
“This book is carefully written, and attention is paid to rigor and relevant details ... The key notions are discussed with great care and from many points of view, which attenuates the shock of the formalism.” Mathematical Reviews
Readership: Mathematical physicists. 304pp Mar 1999 978-981-02-3562-8(pbk) US$43 £36 978-981-02-3555-0 US$82 £68
Series on Knots and Everything - Vol 4 Gauge Fields, Knots and Gravity by John Baez (UC Riverside) & Javier P Muniain (UC Riverside)
“It remains as one of the most significant, progressive and sophisticated textbooks on topics in advanced calculus. The present new edition should be very welcome to the younger generations of students, teachers and researchers in mathematics and natural sciences, not only as a standard text but also as a reference work.”
Elementary Stochastic Calculus, with Finance in View by Thomas Mikosch (University of Groningen)
“This book under review can be determined as a very successful work ... the author’s choice of the material is done with good taste and expertise ... It can be strongly recommended to graduate students and practitioners in the field of finance and economics.”
WORLD SCIENTIFICFor more information, visit: www.worldscientific.com
World Scientific Lecture Notes in Physics - Vol 61 Modern Differential Geometry for Physicists (2nd Edition) by Chris J Isham (Imperial College)
“This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses.”
Readership: Graduate students in mathematics, statistics, economics, management, finance, computer science and engineering. 236pp Nov 2006 978-981-270-371-2(pbk) US$33 £27 978-981-270-370-5 US$61 £51
“The book is clearly written and should be accessible to readers who have a good undergraduate preparation in mathematics or physics. Each part of the book ends with a list of references that will enable the reader to pursue the material presented in greater detail.”
Readership: Academics, mathematicians, advanced undergraduates, graduates, practitioners in finance, risk managers and electrical engineers. 452pp Mar 2012 978-1-84816-832-9(pbk) US$58 £48 978-1-84816-831-2 US$98 £81
Mathematical Reviews
W Kleinert, Readership:BerlinUndergraduates in mathematics. 596pp Mar 2014 978-981-4583-93-0(pbk)
35
Introduction to Stochastic Calculus with Applications (3rd Edition) by Fima C Klebaner (Monash University, Australia)
A First Look at Rigorous Probability Theory (2nd Edition) by Jeffrey S Rosenthal (University of Toronto, Canada)
Readership: Mathematicians, mathematical physicists and theoretical physicists. 480pp Oct 1994 978-981-02-2034-1(pbk) US$71 £59 978-981-02-1729-7 US$129 £107
Advanced Series on Statistical Science and Applied Probability - Vol 6
A First Look at Graph Theory by John Clark (University of Otago, New Zealand) & Derek Allan Holton (University of Otago, New Zealand)
Advanced Calculus
Readership: Undergraduates, graduates and mathematicians. 312pp Jul 1992 978-981-02-1139-4(Set)(pbk) US$39 £32
Mathematical Reviews
Readership: Undergraduates in mathematics and computer science. 352pp May 1991 978-981-02-0490-7(pbk) US$49 £41 978-981-02-0489-1 US$102 £85
US$30 £25 978-981-4583-92-3 US$78 £65
“This is a fine textbook on probability theory based on measure theory. The parts of measure theory that are needed are developed within the book and a teacher of measure theory could find them quite useful. The construction of the Lebesgue measure (extension theorem) is unusual and interesting.” Mathematical Reviews
This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. In finance, the stochastic calculus is applied to pricing options by no arbitrage. In biology, it is applied to populations’models, and in engineering it is applied to filter signal from noise. Not everything is proved, but enough proofs are given to make it a mathematically rigorous exposition.
Revised Edition by Lynn Harold Loomis (Harvard) & Shlomo Sternberg (Harvard)
This book is intended to be an introductory text for mathematics and computer science students at the second and third year levels in universities. It gives an introduction to the subject with sufficient theory for students at those levels, with emphasis on algorithms and applications.
Principles and Techniques in Combinatorics by Chen Chuan-Chong (NUS, Singapore) & Koh Khee-Meng (NUS, Singapore)
Mathematics Catalogue 2022 36 Proceedings TITLE EDITOR PUB DATEISBN13 US$£ RING THEORY 2019 - PROCEEDINGS OF THE EIGHTH CHINAJAPAN-KOREA INTERNATIONAL SYMPOSIUM ON RING THEORY ASASHIBA HIDETO ET AL04-Jan-219789811230288 118 105 ROLE OF METRICS IN THE THEORY OF PARTIAL DIFFERENTIAL, THE - PROCEEDINGS OF THE 11TH MATHEMATICAL SOCIETY OF JAPAN, SEASONAL INSTITUTE (MSJ-SI) GIGA KURODAKUBOHAMAMUKIYOSHIKAZU,NAO,HIDEO,HIROTOSHI & OZAWA TOHRU 11-Feb-21978486497090774.565 DEVELOPMENT OF IWASAWA THEORY - THE CENTENNIAL OF K IWASAWA’S BIRTH - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE “IWASAWA 2017” KURIHARA MASATO, BANNAI KENICHI, OCHIAI TADASHI & TSUJI TAKESHI 11-Feb-21978486497092194.585 NEW TRENDS IN ALGEBRAS AND COMBINATORICSPROCEEDINGS OF THE THIRD INTERNATIONAL CONGRESS I N ALGEBRAS AND COMBINATORICS (ICAC2017) KAR PING SHUM ET AL19-Feb-209789811215469198175 SINGULARITIES - KAGOSHIMA 2017: PROCEEDINGS OF THE 5TH FRANCO-JAPANESE-VIETNAMESE SYMPOSIUM ON SINGULARITIES ISHIKAWA MASAHARU ET AL15-Jun-209789811206023128 115 VARIOUS ASPECTS OF MULTIPLE ZETA FUNCTIONSIN HONOR OF PROFESSOR KOHJI MATSUMOTO’S 60TH BIRTHDAY - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE MISHOU UMEGAKISUZUKINAKAMURAHIDEHIKO,TAKASHI,MASATOSHI&YUMIKO 31-Mar-2097848649708846960 PROCEEDINGS OF THE 14TH AND 15TH ASIAN LOGIC CONFERENCES KIM BYUNGHAN ET AL16-Jan-199789813237544 118 104 PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS 2018 (ICM 2018) (IN 4 VOLUMES) SIRAKOV BOYAN ET AL01-Mar-199789813272873850750 RECENT TOPICS IN DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS - PROCEEDINGS OF THE 6TH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS ADACHI TOSHIAKI ET AL 17-Oct-199789811206689138120 ALGEBRAIC AND GEOMETRIC COMBINATORICS ON LATTICE POLYTOPES - PROCEEDINGS OF THE SUMMER WORKSHOP ON LATTICE POLYTOPES HIBI TAKAYUKI & TSUCHIYA AKIYOSHI 31-May-199789811200472198175 OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICSPROCEEDINGS OF THE INTERNATIONAL CONFERENCE IZUMI MASAKI, KAWAHIGASHI YASUYUKI, KOTANI MOTOKO, MATUI HIROKI & OZAWA NARUTAKA 12-Jul-19978486497079259.350 ASYMPTOTIC ANALYSIS FOR NONLINEAR DISPERSIVE AND WAVE EQUATIONS - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE KATO OGAWAKEIICHI,TAKAYOSHI & OZAWA TOHRU 14-Nov-19978486497081578.269 PRIMITIVE FORMS AND RELATED SUBJECTS - KAVLI IPMU 2014 - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE HORI KENTARO, LI CHANGZHENG, LI SI & SAITO KYOJI 12-Dec-1997848649708538270 MATHEMATICS OF TAKEBE KATAHIRO AND HISTORY OF MATHEMATICS IN EAST ASIA - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON TRADITIONAL MATHEMATICS IN EAST ASIA AND RELATED TOPICS OGAWA TSUKANE & MORIMOTO MITSUO 12-Jul-19978486497057096.385 MATHEMATICAL PHYSICS - PROCEEDINGS OF THE 14TH REGIONAL CONFERENCE ASLAM MUHAMMAD JAMIL & SAIFULLAH KHALID 11-Apr-189789813224964178157 REPRESENTATION THEORY, SPECIAL FUNCTIONS AND PAINLEVE EQUATIONS - RIMS 2015 - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE KONNO HITOSHI, SAKAI YAMADASUZUKISHIRAISHIHIDETAKA,JUNICHI,TAKAO&YASUHIKO 10-Jul-1897848649705019685 50TH ANNIVERSARY OF GROBNER BASES, THEPROCEEDINGS OF THE 8TH MATHEMATICAL SOCIETY OF JAPAN SEASONAL INSTITUTE (MSJ SI 2015) HIBI TAKAYUKI 22-Aug-18978486497052567.660
Random Matrices: Theory and Applications (RMTA)
The aim of this journal is to advance and promote the theory and applications of discrete mathematics, which is a research area in mathematics with applications in computer science, industrial engineering, bio-informatics, chemistry and communication networks.
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Algebra & Related Topics
The journal encourages contributions from the two important parts of discrete mathematics, graph theory and combinatorics. The former includes structural graph theory, extremal graph theory, algebraic graph theory, random graphs and internet graphs. The latter consists of combinatorial design, combinatorial enumeration, coding theory, combinatorial probabilistic method, etc.
International Journal of Number Theory (IJNT)
Print / Online ISSN: 1793-0421 / 1793-7310
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This journal publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
Print / Online ISSN: 1005-3867 / 0219-1733
37 For
Print / Online ISSN: 0218-1967 / 1793-6500
https://www.worldscientific.com/ijac
Michael Filaseta, University of South Carolina, USA R. Sujatha, The University of British Columbia, Canada
Executive Editors S K Jain, Ohio University, USA and King Abdulaziz Univ., Saudi Arabia S R López-Permouth, Ohio University, USA
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Founding Editor and Honorary Editor-in-Chief John Rhodes, Univ. of California, Berkeley, USA
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This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.
Algebra Colloquium (AC)
ChongyingEditor-in-ChiefDong, University of California, Santa Cruz, USA Managing ZhongmingEditorTang, Suzhou University, China Discrete Mathematics, Algorithms and Applications (DMAA)
Print / Online ISSN: 0219-4988 / 1793-6829
This journal publishes papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic subdiscipline will be considered.
IMPACT IMPACT0.429FACTORFACTOR0.719 IMPACT IMPACTIMPACT0.674FACTORFACTOR0.736FACTOR1.121 JOURNALS
Founding Editor Bruce Berndt, University of Illinois at Urbana-Champaign, USA Journal of Algebra and Its Applications (JAA)
Print / Online ISSN: 1793-8309 / 1793-8317
International Journal of Algebra and Computation (IJAC)
Print / Online ISSN: 2010-3263 / 2010-3271
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This is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.
This journal publishes high quality papers on all aspects regarding random matrices, both theory and applications. These areas will include, but not be limited to, spectral theory, new ensembles (those not generally considered in classical random matrix theory), and applications to a wide variety of areas, including high dimensional data analysis, wireless communications, finance, and economics. Only papers that contain original, innovative and correct results, which deepen our understanding on the theory of random matrices and its applications, will be considered for publications.
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Managing Editors Yuri Bilu, Université de Bordeaux and CNRS, France
Ding-ZhuCo-Editors-in-ChiefDu,University of Texas, Dallas, USA Jinlong Shu, East China Normal University, China
Managing Editor Benjamin Steinberg, City College of New York, USA
ZhidongEditors-in-ChiefBai(Founding Editor), Northeast Normal University, China Yang Chen (Founding Editor), University of Macau, China Wang Zhou, National University of Singapore, Singapore
The aim of this journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.
This journal considers the current state-of-the-art theories of wavelet analysis, multiresolution and information processing as well as their applications. This journal aims at publishing papers in both the theories and applications, concentrating on the practical applications of the wavelets, multiresolution and information processing to all areas in science and engineering.
Managing Editor B V Rajarama Bhat, R. V. College P.O., India co-Managing Editor Un Cig Ji, Chungbuk National University, Korea International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP)
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Print / Online ISSN: 0219-5305 / 1793-6861
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Open Systems & Information Dynamics (OSID) Print / Online ISSN: 1230-1612 / 1793-7191
Print / Online ISSN: 0219-0257 / 1793-6306
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Honorary Editors-in-Chief Philippe G Ciarlet, City University of Hong Kong, Hong Kong Roderick S C Wong, City University of Hong Kong, Hong Kong
Infinite Dimensional Analysis, Quantum Probability and Related Topics (IDAQP)
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The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems.
YuanEditor-in-ChiefYTang,Chengdu University and University of Macau, China Managing Editor Luoqing Li, Hubei University, China Mathematical Models and Methods in Applied Sciences (M3AS)
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Ding-XuanEditors-in-ChiefZhou, City University of Hong Kong, Hong Kong
Mathematics Catalogue 2022 38 Applied Mathematics Differential & Integral Equations MathematicalAnalysis
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This journal publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.
MasatoEditor-in-ChiefWakayama, Kyushu University, Japan Analysis and Applications (AA)
Print / Online ISSN: 0218-2025 / 1793-6314 https://www.worldscientific.com/m3as
Print / Online ISSN: 0219-6913 / 1793-690X
In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.
NicolaEditorsBellomo, Politecnico di Torino, Italy Franco Brezzi, IMATI - CNR, Italy
Editor-in-Chief D. Chrušciński, Nicolaus Copernicus University, Poland International Journal of Mathematics for Industry (IJMI)
Print / Online ISSN: 2661-3352 / 2661-3344
This journal is dedicated to enhancing the interaction between mathematics and industrial applications as a two-way process. It publishes original research articles that illustrate how, through the utilization of mathematical results, questions about industrial problems including various scientific questions potentially connected to industrial problems are answered to yield new insight for both industry and mathematics.
Founding Advisor Late Prof. S S Chern, Chern Institute of Mathematics, Nankai University, China YasuyukiChair Kawahigashi, University of Tokyo, Japan
This journal provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.
Chitat Chong, National University of Singapore, Singapore
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This peer-reviewed and open access journal will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. It publishes well-written expository articles of exceptional value giving the latest state of the art on a specific topic, and short articles containing significant results of wider interest. It is launched by King Abdulaziz University, Jeddah, Saudi Arabia.
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Honorary Chief Editor Wu Wentsun, Chinese Academy of Sciences, China Chief Editor K P Shum, Yunnan University, China Managing Editor Jörg Koppitz, Universität Potsdam, Germany
Print / Online ISSN: 1793-5571 / 1793-7183
MathematicalBiology
This is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics.
Theodore A Slaman, University of California, Berkeley, USA W Hugh Woodin, Harvard University, USA Yue Yang, National University of Singapore, Singapore IMPACT 2.219FACTOR
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LansunEditor-in-ChiefChen,Academy of Mathematics and System Sciences, Academia Sinica, and Xinyang Normal University, China Journal of Mathematical Logic (JML)
Bulletin of Mathematical Sciences (BMS)
Communications in Contemporary Mathematics (CCM) Print / Online ISSN: 0219-1997 / 1793-6683
Print / Online ISSN: 0219-0613 / 1793-6691
International Journal of Mathematics (IJM) Print / Online ISSN: 0129-167X / 1793-6519
Print / Online ISSN: 1664-3607 / 1664-3615
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General
HaïmEditors-in-ChiefBrezis , Rutgers University, USA Yi-Zhi Huang, Rutgers University, USA International Journal of Biomathematics (IJB) Print / Online ISSN: 1793-5245 / 1793-7159
39 WORLDFor more information, visit: www.worldscientific.com
The International Journal of Mathematics publishes original research papers of high quality in all topics of pure mathematics. The journal has been published monthly. The first issue appeared in March 1990.
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Managing Editors
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Mathematical Logic& FoundationsMathematics
With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.
SCIENTIFIC
Executive Editors and Editors-in-Chief Efim Zelmanov, University of California, San Diego, USA S. K. Jain, King Abdulaziz University, Saudi Arabia and Ohio University, USA Ahmed Alsaedi, King Abdulaziz University, Saudi Arabia
Asian-European Journal of Mathematics (AEJM)
The goal of this journal is to present the latest achievements in biomathematics, facilitate international academic exchanges and promote the development of biomathematics. Its research fields include mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics.
This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.
Mathematics Catalogue 2022 40 Mathematical PhysicsGeometry & Topology IMPACT 1.361FACTOR
Print / Online ISSN: 0219-8878 / 1793-6977
Managing Editor Salvatore Capozziello, Università Di Napoli “Federico II”, Italy Journal of Knot Theory and Its Ramifications (JKTR)
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This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.
Jinqiao Duan, Illinois Institute of Technology, USA
Journal of Topology and Analysis (JTA)
Print / Online ISSN: 1793-5253 / 1793-7167
This journal fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics.
V. O. Manturov, Bauman Moscow State Technical University, Russia
PhilippeEditor-in-ChiefGLeFloch, Université Pierre et Marie Curie (Paris 6), France
Managing Editor
Print / Online ISSN: 0219-8916 / 1793-6993
Jian-GuoCo-Editor Liu, Duke University, USA
J. H. Przytycki, George Washington Univ., USA
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BEditor-in-ChiefSchmalfuss , Friedrich-Schiller-Universität Jena, Jena
Managing Editors Shmuel Weinberger, University of Chicago, USA Guoliang Yu, Texas A&M University, USA Reviews in Mathematical Physics (RMP)
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Print / Online ISSN: 0129-055X / 1793-6659
Founding Editor Huzihiro Araki, Kyoto University, Japan
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This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics.
JacobEditors-in-ChiefSchachMøller, Aarhus University, Denmark Antti Niemi, Stockholm University, Sweden Stochastics and Dynamics (SD)
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International Journal of Geometric Methods in Modern Physics (IJGMMP)
LEditor-in-ChiefHKauffman , University of Illinois, Chicago, USA
Journal of Hyperbolic Differential Equations (JHDE)
IMPACT IMPACT1.874FACTORFACTOR 0.379 IMPACT 0.457FACTOR IMPACT FACTOR 0.980 IMPACT 0.875FACTOR
This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.
Managing Editors C Adams, Williams College, USA S Gukov, California Institute of Technology, USA S Kamada, Osaka University, Japan
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This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. Papers include new research in the theory of knots and links, and their applications; new researches in related fields; tutorial and review papers, etc.
Print / Online ISSN: 0219-4937 / 1793-6799
Print / Online ISSN: 0218-2165 / 1793-6527
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NONLINEAR HIGHER ORDER DIFFERENTIAL AND INTEGRAL COUPLED SYSTEMS: IMPULSIVE AND INTEGRAL EQUATIONS ON BOUNDED AND UNBOUNDED DOMAINS 7 NONLOCAL NONLINEAR FRACTIONAL-ORDER BOUNDARY INFORMATIONPHILOSOPHYPP-ADICORIGAMIOPTIMIZAOPTIMIZATIONOPTIMIZATIONOPERATIONSONNONSTPROBLEMS..................................................................................................................7VALUEANDARDFINITEDIFFERENCESCHEMES:METHODOLOGYANDAPPLICATIONS16NUMERICALLINEARALGEBRA16COMPLEMENTARITY:AUNIVERSALORGANIZINGPRINCIPLE.....................13RESEARCH:INTRODUCTIONTOMODELSANDMETHODS19INANACORN:WITHAPPLICATIONSTODEEPLEARNING16THEORY:ACONCISEINTRODUCTION20TIONTHEORY:ACONCISEINTRODUCTION35WITHEXPLANATIONS:HAVINGFUNWITHFOLDINGANDMATH30ANALYTICFUNCTIONS5APERPUZZLEBOOK,THE:ALLYOUNEEDISPAPER!32ANDMETHODOLOGYOFINFORMATION:THESTUDYOFINTHETRANSDISCIPLINARYPERSPECTIVE19POWEROFCOMPUTATIONALTHINKING,THE:GAMES,MAGICANDPUZZLESTOHELPYOUBECOMEACOMPUTATIONALTHINKER20PRACTICALNUMERICALMATHEMATICSWITHMATLAB:WORKBOOKANDSOLUTIONS15PRINCIPLESANDTECHNIQUESINCOMBINATORICS34PROBABILITYTHEORY:ANELEMENTARYCOURSE18PROBABILITY:THEORY,EXAMPLES,PROBLEMS,SIMULATIONS18PROBLEMBASEDJOURNEYFROMELEMENTARYNUMBERTHEORYTOANINTRODUCTIONTOMATRIXTHEORY,A:THEPRESIDENTPROBLEMS.........5PROBLEMSANDSOLUTIONSINMATHEMATICS24PROBLEMSINLINEARALGEBRAANDMATRIXTHEORY4PROBLEMSWITHAPOINT:EXPLORINGMATHANDCOMPUTERSCIENCE35PROOFANDCOMPUTATIONII:FROMPROOFTHEORYANDUNIVALENTMATHEMATICSTOPROGRAMEXTRACTIONANDVERIFICATION23QUANTIZEDNUMBERTHEORY,FRACTALSTRINGSANDTHERIEMANNHYPOTHESIS:FROMSPECTRALOPERATORSTOPHASETRANSITIONSANDUNIVERSALITY14RELATIONS:CONCRETE,ABSTRACT,ANDAPPLIED-ANINTRODUCTION24ROYALROADTOTOPOLOGY,A:CONVERGENCEOFFILTERS10SCHOOLMATHEMATICSTEXTBOOKSINCHINA:COMPARATIVESTUDIESANDBEYOND26SCIENCEBYSIMULATION-VOLUME1:AMEZZEOFMATHEMATICALMODELS20SCIENCEOFLEARNINGMATHEMATICALPROOFS,THE:ANINTRODUCTORYCOURSE27SCIENCE,MUSIC,ANDMATHEMATICS:THEDEEPESTCONNECTIONS26SECONDSTEPTOMATHEMATICALOLYMPIADPROBLEMS,A28SEMI-CLASSICALANALYSISFORNONLINEARSCHRODINGEREQUATIONS:WKBANALYSIS,FOCALPOINTS,COHERENTSTATES(SECONDEDITION)8SEQUENCESANDMATHEMATICALINDUCTION:INMATHEMATICALOLYMPIADANDCOMPETITIONS(2NDEDITION)28SIMPLICIALCOMPLEXESINCOMPLEXSYSTEMS23SOLVINGPROBLEMSINGEOMETRY:INSIGHTSANDSTRATEGIESFORMATHEMATICALOLYMPIADANDCOMPETITIONS28SOLVINGPROBLEMSINGEOMETRY:INSIGHTSANDSTRATEGIESFORMATHEMATICALOLYMPIADANDCOMPETITIONS29SPECIALTECHNIQUESFORSOLVINGINTEGRALS:EXAMPLESANDPROBLEMS................................................................................................................11STATISTICALDATASCIENCE35STATISTICALMETHODSFORBIOMEDICALRESEARCH23STOCHASTICINTERESTRATEMODELINGWITHFIXEDINCOMEDERIVATIVEPRICING(THIRDEDITION)21STOCHASTICMODELSINTHELIFESCIENCESANDTHEIRMETHODSOFANALYSIS21STOCHASTICPROCESSES:HARMONIZABLETHEORY18STRUCTUREANDRANDOMNESSINCOMPUTABILITYANDSETTHEORY24TEACHINGSECONDARYSCHOOLMATHEMATICS:TECHNIQUESANDENRICHMENT26THEGEOMETRYOFTHEUNIVERSE14THEMATHEMATICSOFOPENQUANTUMSYSTEMS13THEMULTIVARIATENORMALDISTRIBUTION22THEORETICALINFORMATIONSTUDIES:INFORMATIONINTHEWORLD19THINKINGMATTERS:CRITICALTHINKINGASCREATIVEPROBLEMSOLVING23TRIGONOMETRICFUNCTIONSANDCOMPLEXNUMBERS:INMATHEMATICALOLYMPIADANDCOMPETITIONS28TRILOGYOFNUMBERSANDARITHMETIC24TWO-MINUTEPUZZLEBOOK,THE:PUZZLESTOTRAINYOURBRAIN32UNBOUNDEDEXPERIENCEINRANDOMWALKSWITHAPPLICATIONS,AN17UNDERSTANDINGGAMETHEORY:INTRODUCTIONTOTHEANALYSISOFMANYAGENTSYSTEMSWITHCOMPETITIONANDCOOPERATION(SECONDEDITION)22UNDERSTANDINGMATHEMATICSTHROUGHPROBLEMSOLVING30VEDICMATHEMATICS:AMATHEMATICALTALEFROMTHEANCIENTVEDATOMODERNTIMES32WHATARETENSORSEXACTLY?5XGAMES:TRAININGINSPORTSTOPLAYINMATHEMATICS31
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A MATHEMATICAL JOURNEY THROUGH DIFFERENTIAL EQUATIONS OF PHYSICS 14 ADVANCED CALCULUS (REVISED EDITION) 34 ADVANCED MATHEMATICAL AND COMPUTATIONAL TOOLS IN METROLOGY AND TESTING XII (AMCTM XII) 15 ADVENTURES IN RECREATIONAL MATHEMATICS: SELECTED WRITINGS ON RECREATIONAL MATHEMATICS AND ITS HISTORY - VOLUME I 31 ALGEBRA FOR PARENTS: A BOOK FOR GROWNUPS ABOUT MIDDLE SCHOOL MATHEMATICS 31 ALGEBRAIC INEQUALITIES: IN MATHEMATICAL OLYMPIAD AND COMPETITIONS 28 ALGEBRAIC SURFACES IN POSITIVE CHARACTERISTICS: PURELY INSEPARABLE PHENOMENA IN CURVES AND SURFACES.................................. 11 ANALYSIS AND BEYOND: AN INTRODUCTION WITH EXAMPLES AND EXERCISES 9 BASIC INSIGHTS IN VECTOR CALCULUS 8 BASIC LESSONS ON ISOMETRIES, SIMILARITIES AND INVERSIONS IN THE EUCLIDEAN PLANE 9 BASIC PROBABILITY: WHAT EVERY MATH STUDENT SHOULD KNOW (SECOND EDITION) 17 BLOCKCHAIN AND DISTRIBUTED LEDGERS.........................................................22 BOOLEAN STRUCTURES: COMBINATORICS, CODIFICATION, REPRESENTATION 6 BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS AND SYSTEMS 7 BOUNDED SYMMETRIC DOMAINS IN BANACH SPACES 12 CASUAL CALCULUS (IN 3 VOLUMES).....................................................................12 CATEGORY THEORY AND APPLICATIONS: A TEXTBOOK FOR BEGINNERS (SECOND EDITION) 6 CENTRAL EUROPEAN OLYMPIAD, A: THE MATHEMATICAL DUEL 28 CHANCE, LOGIC AND INTUITION: AN INTRODUCTION TO THE COUNTERINTUITIVE LOGIC OF CHANCE 18 CLASSICAL AND MODERN OPTIMIZATION 16 CLASSICAL AND QUANTUM MECHANICS WITH LIE ALGEBRAS 13 CODES AND MODULAR FORMS: A DICTIONARY 19 COLLECTED WORKS OF ANATOLE KATOK, THE (IN 2 VOLUMES)......................14 COMBINATORIAL EXTREMIZATION 29 COMPUTATIONAL ALGEBRA: COURSE AND EXERCISES WITH SOLUTIONS 4 COPOSITIVE AND COMPLETELY POSITIVE MATRICES 5 CORRECT ANTIDIFFERENTIATION: THE CHANGE OF VARIABLE WELL DONE 12 COURSE IN GAME THEORY, A.................................................................................21 CREATIVE SECONDARY SCHOOL MATHEMATICS: 125 ENRICHMENT UNITS FOR GRADES 7 TO 12 27 DEVELOPMENT OF MATHEMATICS BETWEEN THE WORLD WARS, THE: CASE STUDIES, EXAMPLES AND ANALYSES 26 DIALOGUES AROUND MODELS AND UNCERTAINTY: AN INTERDISCIPLINARY PERSPECTIVE 20 DIFFERENTIAL FORMS 35 DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES WITH SINGULARITIES 9 ELEMENTARY MECHANICS (IN 2 VOLUMES) 13 ELEMENTARY MODULAR IWASAWA THEORY 5 ELEMENTARY OVERVIEW OF MATHEMATICAL STRUCTURES, AN: ALGEBRA, TOPOLOGY AND CATEGORIES ELEMENTARY STOCHASTIC CALCULUS, WITH FINANCE IN VIEW ELEMENTARY TOPOLOGY AND APPLICATIONS (SECOND EDITION) ELEMENTS OF LINEAR AND MULTILINEAR ALGEBRA EMPTY AND THE FULL, THE: AND THE WAY OF MATHEMATICSGEOMETRICAL PROCEDURES BY SECTION OF AREAS EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS: TIME-QUANTITATIVE SECOND FIELDSFIBEREXPLORINGEXPLORALAW............................................................................................................16TIONSINNUMERICALANALYSIS:PYTHONEDITION15SCALESYMMETRY.............................................................................13FATEOFSCHRODINGER'SCAT,THE:USINGMATHANDCOMPUTERSTOEXPLORETHECOUNTERINTUITIVE30BUNDLESANDHOMOTOPY9MEDALLISTS'LECTURES24FIRSTLOOKATRIGOROUSPROBABILITYTHEORY,A(2NDEDITION)34FIRSTLOOKATSTOCHASTICPROCESSES,A35FIRSTSTEPTOMATHEMATICALOLYMPIADPROBLEMS,A28FOUNDATIONSOFMODERNECONOMETRICS:AUNIFIEDAPPROACH22FRACTIONALCALCULUSANDWAVESINLINEARVISCOELASTICITY:ANINTRODUCTIONTOMATHEMATICALMODELS(2NDEDITION)20FRACTIONALLAPLACIAN,THE12GAUGEFIELDS,KNOTSANDGRAVITY34GENERALIZEDINTEGRALTRANSFORMSINMATHEMATICALFINANCE22GEOMETRICFOUNDATIONSOFDESIGN:OLDANDNEW10GEOMETRICINEQUALITIES:INMATHEMATICALOLYMPIADANDCOMPETITIONS29GEOMETRYINOURTHREE-DIMENSIONALWORLD32GLOBALSOLUTIONFORSUDOKU31GRAPHTHEORY:INMATHEMATICALOLYMPIADANDCOMPETITIONS29
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HOW TO DERIVE A FORMULA - VOLUME 1: BASIC ANALYTICAL SKILLS AND METHODS FOR PHYSICAL SCIENTISTS........................................................35 HOW TO MEASURE THE INFINITE: MATHEMATICS WITH INFINITE AND INFINITESIMAL NUMBERS 24 HYPERBOLICITY IN DELAY EQUATIONS 8 INEQUALITIES IN ANALYSIS AND PROBABILITY (THIRD EDITION) 17 INFINITE-DIMENSIONAL ANALYSIS: OPERATORS IN HILBERT SPACE; STOCHASTIC CALCULUS VIA REPRESENTATIONS, AND DUALITY THEORY 15 INFORMATION THEORY - PART I: AN INTRODUCTION TO THE FUNDAMENTAL CONCEPTS 20 INNOVATIVE TEACHING: BEST PRACTICES FROM BUSINESS AND BEYOND FOR MATHEMATICS TEACHERS 26 INTRODUCTION TO ALGEBRAIC CODING THEORY..............................................19 INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS 11 INTRODUCTION TO DIFFERENTIAL EQUATIONS WITH APPLICATIONS, AN 8 INTRODUCTION TO LATTICE BOLTZMANN METHOD, AN: A NUMERICAL METHOD FOR COMPLEX BOUNDARY AND MOVING BOUNDARY FLOWS 13 INTRODUCTION TO NONAUTONOMOUS DYNAMICAL SYSTEMS AND THEIR ATTRACTORS, AN 8 INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS (WITH MAPLE), AN - A CONCISE COURSE..........................................................................................7 INTRODUCTION TO PROBABILITY THEORY: A FIRST COURSE ON THE MEASURE-THEORETIC APPROACH 18 INTRODUCTION TO STOCHASTIC CALCULUS WITH APPLICATIONS (3RD EDITION) 34 INTRODUCTION TO STOCHASTIC PROCESSES 17 KENKEN: A PUZZLE A DAY!: 365 PUZZLES THAT MAKE YOU SMARTER 33 KENKEN: LIM-OPS, NO-OPS AND TWIST!: 180 6 X 6 PUZZLES THAT MAKE YOU SMARTER 33 KRZYZ CONJECTURE, THE: THEORY AND METHODS 12 LEARNING TRIGONOMETRY BY PROBLEM SOLVING 27 LECTURE NOTES ON GENERAL TOPOLOGY 10 LECTURE NOTES ON MATHEMATICAL OLYMPIAD COURSES: FOR JUNIOR SECTION - VOLUME 1 29 LECTURES ON ALGEBRAIC TOPOLOGY..................................................................4 LECTURES ON FUNCTIONAL ANALYSIS AND APPLICATIONS (SECOND EDITION) 12 LECTURES ON MATHEMATICAL FINANCE AND RELATED TOPICS 21 LECTURES ON THE GEOMETRY OF MANIFOLDS (THIRD EDITION) 11 LEWIS CARROLL'S CATS AND RATS... AND OTHER PUZZLES WITH INTERESTING TAILS 32 LINEAR ALGEBRA AND ITS APPLICATIONS 7 LINEARISED DAM-BREAK PROBLEM, THE 15 LIPSCHITZ ALGEBRAS (SECOND EDITION) 35 MANIFOLDS AND LOCAL STRUCTURES: A GENERAL THEORY 10 MATERIAL GEOMETRY: GROUPOIDS IN CONTINUUM MECHANICS 14 MATHEMAGICS: A MAGICAL JOURNEY THROUGH ADVANCED MATHEMATICSCONNECTING MORE THAN 60 MAGIC TRICKS TO HIGH-LEVEL MATH 30 MATHEMATICAL ANALYSIS: A CONCISE INTRODUCTION 11 MATHEMATICAL FEYNMAN PATH INTEGRALS AND THEIR APPLICATIONS 14 MATHEMATICAL LABYRINTHS. PATHFINDING 32 MATHEMATICAL MUFFIN MORSELS: NOBODY WANTS A SMALL PIECE 30 MATHEMATICAL NUGGETS FROM AUSTRIA: SELECTED PROBLEMS FROM THE STYRIAN MID-SECONDARY SCHOOL MATHEMATICS COMPETITIONS 31 MATHEMATICAL OLYMPIAD IN CHINA (2007-2008): PROBLEMS AND SOLUTIONS 29 MATHEMATICAL OLYMPIAD IN CHINA (2011-2014): PROBLEMS AND SOLUTIONS 28 MATHEMATICAL OLYMPIAD IN CHINA: PROBLEMS AND SOLUTIONS 29 MATHEMATICAL POPULATION GENETICS AND EVOLUTION OF BACTERIAL COOPERATION 23 MATHEMATICS ENTERTAINMENT FOR THE MILLIONS 30 MATHEMATICS OF HARMONY AS A NEW INTERDISCIPLINARY DIRECTION AND "GOLDEN" PARADIGM OF MODERN SCIENCE - VOLUME 2: ALGORITHMIC MEASUREMENT THEORY, FIBONACCI AND GOLDEN 6 MEDICAL STATISTICS 23 MERSENNE NUMBERS AND FERMAT NUMBERS 4 METACYCLIC GROUPS AND THE D(2) PROBLEM 9 METHODS AND TECHNIQUES FOR PROVING INEQUALITIES 29 METRIC IN MEASURE SPACES 35 MODELING ANOMALOUS DIFFUSION: FROM STATISTICS TO MATHEMATICS 21 MODERN DIFFERENTIAL GEOMETRY FOR PHYSICISTS (2ND EDITION) 34 MODERN INTRODUCTION TO CLASSICAL NUMBER THEORY, A 6 MODULAR AND AUTOMORPHIC FORMS & BEYOND 4 MORE ORIGAMI WITH EXPLANATIONS: HAVING FUN WITH FOLDING AND MATH 30 NEVANLINNA THEORY AND ITS RELATION TO DIOPHANTINE APPROXIMATION (SECOND EDITION) 11 NEW METHOD OF CONSTRUCTING BRAKKE'S MOTION, A.................................16
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WORLD SCIENTIFICFor more information, visit: www.worldscientific.com ✔ Title Page Title Index Tick the titles and email to mkt@wspc.com to recommend to your librarian. ✔ Title Page ✔ Title Page
GROBNER-SHIRSHOV BASES: NORMAL FORMS, COMBINATORIAL AND DECISION PROBLEMS IN ALGEBRA 7 GUIDE TO MATHEMATICAL METHODS FOR PHYSICISTS, A: ADVANCED TOPICS 15 HILBERT AND BANACH SPACE-VALUED STOCHASTIC PROCESSES 17
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Aharoni, Ron.............................31 Bashir Artioli, Marcello Atiyah, Michael Auletta, Gennaro Avrin, Jack Shulman Baez, John C Barreira, Luis Barrieu, Pauline 20 Beck, Jozsef Becvarova, Martina...................26 Benci, Vieri 24 Ben-naim, Arieh 20 Berman, Abraham.......................5 Bokut, Ge,Gasarch,Garibi,Gallup,Fuhrer,Forni,Forbes,Ferguson,Feng,Epstein,Elran,Deza,Deng,DeCurzon,Cohen,Cohen,ChoyChong,Chen,Chen,ChartierCenzer,Carlier,Carles,Burgin,Boyadzhiev,Boudhraa,Boucherie,Borges,Leonid..............................7CarlosR10RichardJohannes19Zine8KhristoN11Braaksma,Aleida......................19Mark19,24Cai,Tianxin6Remi8Guillaume16Douglas24,TimothyP31Chen,ChuanChong34Chen,Ji28Chen,Mu-fa17Wenxiong12Yuqun7Choie,Youngju19Chitat............................24,BanHeng27Chu,Cho-ho12Chunovkina,AnnaG.................16Ed.................................35Harold8Paul20Dattoli,Giuseppe32Leon,Manuel14Weihua20Elena4DiNasso,Mauro24Dodig-crnkovic,Gordana19Dolecki,Szymon10Dorner,Christian.......................32Yossi32Marcelo14Erdman,JohnM6Escassut,Alain5Fan,Lianghuo...........................26Fang,Ji-qian23Fayad,Bassam.........................14Feng,Yuefeng29Zhi-gang28ThomasS21AlistairB16Giovanni14French,Andrew20Robert33Daniel8Ilan32William30,35Jun28
Ahmad,
Mathematics Catalogue 2022 42 Author Index Author Page Author Page Author Page Author Page Adams, Niall M 34
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Liu, Shi-xiong 28 Loomis,
Rozenblyum, Alexander............27 Rozenblyum, Leonid 27 Ru, Min 11 Saji, Kentaro 9 Schuster, Peter
Geretschlager, Robert 31, 32 Goodman, David Hillel 32 Grandis, Marco 6, 10 Grecksch, Wilfried 18 Guillemin, Victor 35 Guo, Hongyu 5 Haine, Peter..............................35 Hang, Kim Hoo 29 Hasselblatt, Boris......................14 Henderson, Johnny L 7 Henrion, Didier..........................16 Herichi, Hafedh 14 Hertz, Federico Rodriguez........14 Hida, Liu,Lisei,Lipton,Lin,Leong,Leng,Lee,Lee,Leach,Layton,Lasserre,Lapidus,Lambers,Kuzumaki,Kuttler,Kruskal,Kornyshev,Korda,Kolesnikov,Koh,Kloeden,Kifer,Katok,Kappraff,Kakihara,Jorgensen,Johnson,Itkin,Isham,Iancu,Hou,Hosel,Horihata,Hong,Holton,Holton,Haruzo...............................5DerekAllan28DerekAllan28Yongmiao22Kazuhiro16Volker23Ru20Iagolnitzer,Daniel24Mihai18Inamuro,Takaji13ChrisJ...........................34Andrey22Ito,Hiroyuki...............................11Ji,Chaocheng...........................28Jimenez,VictorManuel14FrancisEA9Palle15Yuichiro17Kalorkoti,Kyriakos7Kanemitsu,Shigeru9Jay10Svetlana14Yuri21Klebaner,FimaC34Peter8Khee-meng.......................34Pavel7Kolokoltsov,VasilyN22Milan16AlexeiA35Clyde35Christina23Takako9JamesV....................15MichelL14JeanBernard16William16JohnAndrew15DominicJO'35Lee,PengYee29Tze-san23Lein,Max14Lemanczyk,Mariusz14Gangsong29YuKiang27Li,Tatsien24Li,Yan12Li,Zhilin7Licciardi,Silvia32Zhengyan18Alexander22Hannelore........................18Jianya9 Lynn Harold Lopatkin, Viktor E 7 Lowe, Thomas 13 Luca, Rai,Quinn,Pugachev,Privault,Pritsker,Prinz,Pradisi,............................................30,Posamentier,Porter,Poole,Pons,Pollet,Pham-gia,Petrini,Pesin,Perz,Peretz,Pavese,Park,Papastavridis,Norris,Nicolaescu,Needham,MuraveyMuniain,Muller,Mukoda,Movasati,Moshayedi,Mooney,Montiforte,Moh,Miyanishi,Minhos,Miller,Mikosch,Mickens,MeyerMetz,Mcowan,Mcintyre,Mcgovern,Mazzucchi,Martinez-abejon,Maresch,Mar,Mao,MakarovMainzer,Ma,Ma,LutherRodica...............................7,Kenneth12Pei12Zhong-qi31Klaus23,KonstantinA13Malafeyev,OlegA22Maletic,Slobodan23Yong-hua17GaryR23Guenter32Antonio12Sonia14S15MichaelEdgeworth26PeterWilliam20Erik30,Jeanine30RonaldE....................16Thomas34HaynesR4FelizManuel..................7Masayoshi11Tzuong-tsieng7,19VivianAshley15AmberCSumner15Nima18Hossein4Takashi30Johannes23JavierP34,Dmitry22DavidJ15LiviuI.....................11Larry7Ntouyas,SotirisK7JohnG13Jang-woo.........................30Franco16Ronen...........................12Gottfried31Yakov14Michela15Thu22Charlotte-v31Odile17Peter30Christopher24AlfredS26,27,32Gianfranco15Jacob30Boris32Nicolas21VS12TerranceJ8Sanjay8Rao,MalempatiMadhusudana..18Reiser,Elana27Rosenthal,JeffreyS34,35Rourke,Colin14Roussos,IoannisMarkos9 Zhao,Zhang,Zhang,Zaffaroni,Yoshino,Yengui,Yeh,Yamada,Xu,Xiong,Weaver,Wang,WUmehara,Tsekanovskii,Treccani,TTTThaller,Sussman,Sternberg,Stakhov,Spreitzer,ShlesingerShi,Sharma,Shapira,Shaked-monderer,Schwichtenberg,Michael............23Helmut...........23Naomi...........5Yair13Anuradha....................19Minjia19,MichaelF17Singmaster,David31Sinitsyn,Igor12Smith,Beverly26Smolyak,Daniel........................30Sole,Patrick19Sousa,RobertDe7Spatzier,Ralf14Christian32Alexey6Stein,JamesD30ShlomoZvi34Stuhlpfarrer,David32Su,Yong29Su,Zhonggen18MyronMike15,16Sutton,DeniseH26Suzuki,Kosuke13Swanson,Irena.........................11Tamaki,Dai9Teixeira,RicardoV30Bernd32ian,James15Tijms,Henk17,19Tijms,Steven18oh,TinLam27oth,Herbert24Adrien22EduardR13Masaaki9Valls,Claudia8Wan,FredericYM21Wang,Guoliang10Wang,Haibin29ang,Jianpan26Wanli20Nik35Bin28,29Xu,Binyan26Xu,Jiagu...................................29Pengbo20Kotaro9Yang,Meihua8JamesJ35Ihsen4Yong,Jiongmin11,20,35Masato13Yu,Hong-bing28Alberto15Zapletal,Jindrich24Zhang,Fuzhen4Lixin18NienFan16Yi23Zheng,Zhongyi.........................29
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