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Mathematics Textbooks
CHECKLIST 2014
Popular Problems and Innovative thinking backed by logical reasoning is the key to the Puzzles in Mathematics puzzles in Popular Problems and Puzzles in Mathematics. Collected Asok Kumar Mallik
NEW
Basic Commutative Algebra Balwant Singh
over several years by the author, more than 150 elegant, intriguing numerical challenges are presented here. The answers are easy to explain, but one would devilishly find it hard without this book. One’s ability to construct a mathematical proof will be rigorously tested in these problems – even in the case of a mathematics teacher. For true maths lovers, there is even a section on historically prominent problems. Designed for high-school students and teachers with an interest in mathematical problem solving, this stimulating collection provides a new twist to familiar topics that introduce unfamiliar topics.
ISBN: 9789382993865
170pp
` 225.00
This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained. The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.
NEW
ISBN: 9789382993131
404pp WORLD SCIENTIFIC
2
` 695.00
Partial Differential Equations Methods, Applications and Theories Harumi Hattori
NEW
This volume is an introductory level textbook for partial differential equations (PDE’s) and suitable for a one-semester undergraduate level or two-semester graduate level course in PDE’s or applied mathematics. Chapters One to Five are organized according to the equations and the basic PDE’s are introduced in an easy to understand manner. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the methods of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green’s functions. The equations in higher dimensions are also discussed in detail. This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDE’s. ISBN: 9789382993797
394pp
` 495.00
WORLD SCIENTIFIC
Advanced Topics In Applied Mathematics For Engineering and the Physical Sciences Sudhakar Nair
This book is ideal for engineering, physical science, and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green’s functions, integral equations, Fourier transforms, and Laplace transforms. Also included is a useful discussion of topics such as the Wiener-Hopf method, finite Hilbert transforms, Cagniard-De Hoop method, and the proper orthogonal decomposition. This book reflects Sudhakar Nair’s long classroom experience from engineering and physics to illustrate the solution procedures. The text includes exercise sets at the end of each chapter and a solutions manual, which is available for instructors.
ISBN: 9781107685093
Solutions Manual available
3
232pp
` 325.00
High Accuracy Computing Methods Fluid Flows and Wave Phenomena Tapan K. Sengupta
This book presents methods necessary for high accuracy computing of fluid flow and wave phenomena. These two topics have common threads and are presented in the book in single source format using unified spectral theory of computing. This book attempts to systematically develop scientific computing from classical approaches – describing equations of motion; classifying, discretizing and solving parabolic, elliptic, hyperbolic PDEs; curvilinear co-ordinates and structured meshing techniques; classical FVM and FEM and solving Navier-Stokes equation by FDM – to its present state of art in high accuracy computing. New topics discussed in this book are: • Correct error propagation analysis • Practical compact schemes and global analysis tool • Aliasing error and its alleviation • Spurious upstream propagating q-waves • Explanation of Gibbs phenomenon • New 1D and 2D filters for LES/DNS without SGS modelling • Anisotropic skewed wave propagation • Development and analysis of dispersion relation preservation (DRP) schemes and • Focus on capturing flow instabilities and wave propagation phenomena ISBN: 9781107023635
A Comprehensive Course in Number Theory Alan Baker
590pp
` 1295.00
Developed from the author’s popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing; an account of number fields in the classical vein including properties of their units, ideas and ideal classes; aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions; a description of the Hardy-Littlewood and sieve methods from respectively additive and multiplicative number theory; and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and, as with the earlier volume, there is a guide to further reading at the end of each chapter. Its wide coverage and versatility make this book suitable for courses extending from the elementary to the graduate level. ISBN: 9781107619173
4
266pp
` 395.00
Basic Control Volume Finite Element Methods for Fluids and Solids Vaughan R Voller
The Control Volume Finite Element Method (CVFEM) is a hybrid numerial method, combining the physics of Control Volume Methods with the geometric flexibility of Finite Element Methods. The concept of this monograph is to introduce a common framework for the CVFEM solution so that it can be applied to both fluid flow and solid mechanics problems. To emphasize the essential ingredients, discussion focusses on the application to problems in two-dimensional domains which are discretized with linear-triangular meshes. This allows for a straightforward provision of the key information required to fully construct working CVFEM solutions of basic fluid flow and solid mechanics problems.
ISBN: 9789382264026
184pp
` 395.00
WORLD SCIENTIFIC
Introduction to Algebraic Geometry and Commutative Algebra Dilip P Patil & Uwe Storch
This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics. Along the lines developed by Grothendieck, this book delves into the rich interplay between algebraic geometry and commutative algebra. With concise yet clear definitions and synopses a selection is made from the wealth of material in the disciplines including the RiemannRoch theorem for arbitrary projective curves.
ISBN: 9789382264019
222pp WORLD SCIENTIFIC
5
` 395.00
Introduction to Linear Algebra Gilbert Strang
This leading textbook for first courses in linear algebra comes from the hugely experienced MIT lecturer and author Gilbert Strang. The book’s tried and tested approach is direct, offering practical explanations and examples, while showing the beauty and variety of the subject. Unlike most other linear algebra textbooks, the approach is not a repetitive drill. Instead it inspires an understanding of real mathematics. The book moves gradually and naturally from numbers to vectors to the four fundamental subspaces. This new edition includes challenge problems at the end of each section. Preview five complete sections at math.mit.edu/linearalgebra. Readers can also view freely available online videos of Gilbert Strang’s 18.06 linear algebra course at MIT, via OpenCourseWare (ocw.mit.edu), that have been watched by over a million viewers. Also on the web (http://web.mit.edu/18.06/www/), readers will find years of MIT exam questions, MATLAB help files and problem sets to practise what they have learned. ISBN: 9788175968110
A Guide to MATLAB For Beginners and Experienced Users Second Edition Brian R. Hunt, Ronald L. Lipsman & Jonathan M. Rosenberg
574pp
` 595.00
This is a short, focused introduction to MATLAB, a comprehensive software system for mathematical and technical computing. It contains concise explanations of essential MATLAB commands, as well as easily understood instructions for using MATLAB’s programming features, graphical capabilities, simulation models, and rich desktop interface. Written for MATLAB 7, it can also be used with earlier (and later) versions of MATLAB. This book teaches how to graph functions, solve equations, manipulate images, and much more. It contains explicit instructions for using MATLAB’s companion software, Simulink, which allows graphical models to be built for dynamical systems. MATLAB’s new “publish” feature is discussed, which allows mathematical computations to be combined with text and graphics, to produce polished, integrated, interactive documents. For the beginner it explains everything needed to start using MATLAB, while experienced users making the switch to MATLAB 7 from an earlier version will also find much useful information here.
ISBN: 9781107641129
6
328pp
` 395.00
Statistics Explained An Introductory Guide for Life Scientists Steve McKillup
Statistics Explained is a reader-friendly introduction to experimental design and statistics for undergraduate students in the life sciences, particularly those who do not have a strong mathematical background. Hypothesis testing and experimental design are discussed first. Statistical tests are then explained using pictorial examples and a minimum of formulae. This class-tested approach, along with a wellstructured set of diagnostic tables will give students the confidence to choose an appropriate test with which to analyse their own data sets. Presented in a lively and straight-forward manner, Statistics Explained will give readers the depth and background necessary to proceed to more advanced texts and applications. It will therefore be essential reading for all bioscience undergraduates, and will serve as a useful refresher course for more advanced students.
ISBN: 9781107673847
Foundation Mathematics for the Physical Sciences K. F. Riley & M. P. Hobson
280pp
` 445.00
This tutorial-style textbook develops the basic mathematical tools needed by first and second year undergraduates to solve problems in the physical sciences. Students gain hands-on experience through hundreds of worked examples, self-test questions and homework problems. Each chapter includes a summary of the main results, definitions and formulae. Over 270 worked examples show how to put the tools into practice. Around 170 self-test questions in the footnotes and 300 end-of-section exercises give students an instant check of their understanding. More than 450 end-of-chapter problems allow students to put what they have just learned into practice. Hints and outline answers to the odd-numbered problems are given at the end of each chapter. Complete solutions to these problems can be found in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/foundation. ISBN: 9781107647671
Companion Website available
7
736pp
` 795.00
Essential Mathematical Methods for the Physical Sciences K. F. Riley & M. P. Hobson
The mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problemsolving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts. Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, passwordprotected for instructors, are available at www.cambridge.org/essential. ISBN: 9781107643529
846pp
` 595.00
Companion Website available
Student Solution Manual for Essential Mathematical Methods for the Physical Sciences K. F. Riley & M. P. Hobson
This Student Solution Manual provides complete solutions to all the odd-numbered problems in Essential Mathematical Methods for the Physical Sciences. It takes students through each problem step-bystep, so they can clearly see how the solution is reached, and understand any mistakes in their own working. Students will learn by example how to select an appropriate method, improving their problemsolving skills.
ISBN: 9781107675421
8
250pp
` 445.00
Numerical Methods of Statistics Second Edition John F. Monahan
This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the NelderMead search algorithm. ISBN: 9781107665934
464pp
` 595.00
Elementary Differential The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an Geometry Christian Bär
elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss–Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra. ISBN: 9781107603967
9
330pp
` 495.00
Complex Variables Principles and Problem Sessions A. K. Kapoor
This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style that presents important fundamentals a beginner needs to master the technical details of the subject. The organization of problems into focused sets is an important feature of the book and the teachers may adopt this book for a course on complex variables and for mining problems.
ISBN: 9788175968981
522pp
` 495.00
WORLD SCIENTIFIC
Risk Management Value at Risk and Beyond M. A. H. Dempster
The use of derivative products in risk management has spread from commodities, stocks and fixed income items, to such virtual commodities as energy, weather and bandwidth. All this can give rise to so-called volatility and there has been a consequent development in formal risk management techniques to cover all types of risk: market, credit, liquidity, etc. One of these techniques, Value at Risk, was developed specifically to help manage market risk over short periods. Its success led, somewhat controversially, to its take up and extension to credit risk over longer time-scales. This extension, ultimately not successful, led to the collapse of a number of institutions. The present book, which was originally published in 2002, by some of the leading figures in risk management, examines the complex issues that concern the stability of the global financial system by presenting a mix of theory and practice. ISBN: 9780521263740
10
290pp
` 350.00
An Outline of Ergodic Theory Steven Kalikow & Randall McCutcheon
This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing. Original proofs of classic theorems - including the Shannon–McMillan– Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are presented by degrees, together with helpful hints that encourage the reader to develop the proofs on their own. Hundreds of exercises and open problems are also included, making this an ideal text for graduate courses. Professionals needing a quick review, or seeking a different perspective on the subject, will also value this book. ISBN: 9780521170314
The Art of Mathematics Coffee Time in Memphis Bela Bollobás
182pp
` 595.00
Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician’s art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.
ISBN: 9781107601734
11
376pp
` 250.00
Brownian Motion Peter Mรถrters & Yuval Peres
This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes. ISBN: 9780521168847
Central Simple Algebras and Galois Cohomology Philippe Gille & Tamรกs Szamuely
416pp
` 995.00
This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of Bloch-Gabber-Kato. The book is suitable as a textbook for graduate students and as a reference for researchers working in algebra, algebraic geometry or K-theory.
ISBN: 9780521168915
12
356pp
` 695.00
Curved Spaces From Classical Geometries to Elementary Differential Geometry P. M. H. Wilson
This self-contained textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra. ISBN: 9780521170062
An Introduction to Invariants and Moduli Shigeru Mukai & W. M. Oxbury
196pp
` 695.00
Incorporated in this volume are the first two books in Mukai’s series on moduli theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example the theory of moduli spaces is a crucial ingredient in the proof of Fermat’s last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation of the classical foundations of invarant theory that, in addition to geometers, would be useful to those studying representation theory. This translation gives an accurate account of Mukai’s influential Japanese texts.
ISBN: 9780521168885
13
524pp
` 895.00
An Introduction to Sieve Methods and Their Applications Alina Carmen Cojocaru & M. Ram Murty
Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach’s conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivated introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory, and nonexperts can gain a quick introduction to the techniques of the subject.
ISBN: 9780521170345
Representations and Cohomology Volume I Basic Representation Theory of Finite Groups and Associative Algebras D. J. Benson
236pp
` 595.00
This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book is a lengthy introduction to the (Auslander–Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.
ISBN: 9780521169882
14
260pp
` 595.00
The Cambridge Elementary Mathematical Tables Second Edition J.C.P. Miller & F.C. Powell
Contents: 1. Notes on the use of the tables 2. Logarithms 3. Antilogarithms 4. Logarithms of sines 5. Logarithms of cosines 6. Minutes to decimals of a degree 7. Logarithms of tangents 8. Sines 9. Cosines 10. Proportional parts for sixths 11. Tangents 12. Secants 13. Squares 14. Square roots 15. Reciprocals 16. Powers and factorials 17. Degrees, minutes and radians 18. Natural logarithms 19. Exponential, hyperbolic and circular functions 20. Binomial coefficients 21. Binomial distribution 22. Normal distribution 23. t-distributions 24. Chi-square distributions 25. Correlation coefficients 26. Proportional parts for tenths 27. International system of units (SI) 28. Physical constants
ISBN: 9780521747370
Real Analysis N.L. Carothers
48pp
` 40.00
This text for a course in Real Analysis addresses advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something of value to specialists and non-specialists alike. It considers three major topics: Metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. Written in an informal, down-to-earth style, the book motivates the reader with an intuitive overview of new ideas, while still supplying full details and complete proofs. The author includes historical commentary with references to original works and alternate presentations, recommends expository and survey articles for non-specialists and technical articles for specialists, and provides a great many exercises and suggestions for further study. The author has written this text with the consideration of the heterogeneous audiences found at the masters level: students interested in pure and applied mathematics, statistics, education, engineering and economics. ISBN: 9780521696241
15
416pp
` 545.00
A First Course in Probability and Statistics B. L. S. Prakasa Rao
Explanation of the basic concepts and methods of statistics requires a reasonably good mathematical background, at least at a first-year-level knowledge of calculus. Most of the statistical software explain how to conduct data analysis, but do not explain when to apply and when not to apply it. Keeping this in view, we try to explain the basic concepts of probability and statistics for students with an understanding of a first course in calculus at the undergraduate level. Designed as a textbook for undergraduate and first-year graduate students in statistics, bio-statistics, social sciences and business administration programs as well as undergraduates in engineering sciences and computer science programs, it provides a clear exposition of the theory of probability along with applications in statistics. The book contains a large number of solved examples and chapter-end exercises designed to reinforce the probability theory and emphasize statistical applications. ISBN: 9788175967311
330pp
` 295.00
WORLD SCIENTIFIC
Remarkable Mathematicians From Euler to von Neumann Ioan James
Ioan James introduces and profiles sixty mathematicians from an era which saw mathematics freed from its classical origins to develop into its modern form. The characters, all born between 1700 and 1910, come from a wide range of countries, and all made an important contribution to mathematics, through their ideas, their teaching, their influence, and so on. The book is organised chronologically into ten chapters each of which contain life stories of six mathematicians. The players James has chosen to portray are sufficiently representative that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed.
ISBN: 9780521670487
16
448pp
` 395.00
An Introduction to Fluid Dynamics G.K. Batchelor
First published in 1967, Professor Batchelor’s classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This re-issue should ensure that a new generation of graduate students see the elegance of Professor Batchelor’s presentation.
ISBN: 9788185618241
Introduction to Lattices and Order Second Edition B. A Davey & H. A. Priestly
633pp
` 445.00
This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures. ISBN: 9780521134514
17
310pp
` 395.00
Classical Mechanics R. Douglas Gregory
Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, selfcontained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem. ISBN: 9780521733120
Computational Discrete Mathematics Combinatorics and Graph Theory with Mathematica Sriram Pemmaraju & Steven Skiena
608pp
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Combinatorica, an extension to the popular computer algebra system MathematicaŽ, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/ user’s guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways, by encouraging computational experimentation and visualization. The book is suitable for self-study and as a primary or supplementary textbook for discrete mathematics courses. ISBN: 9780521733113
18
494pp
` 545.00
All the Mathematics You Missed Thomas A. Garrity
This book will help students to see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, probability, complex analysis, abstract algebra, and more. An annotated bibliography then offers a guide to further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics.
ISBN: 9780521670340
Basic Abstract Algebra Second Edition P.B. Bhattacharya, S.K. Jain & S.R. Nagpaul
372pp
` 445.00
This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes. Complete proofs are given throughout for all theorems. This revised edition includes an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the Lasker-Noether theorem.
ISBN: 9780521545488
19
507pp
` 345.00
Complex Variables Introduction and Applications Mark J. Ablowitz & Athanassios S. Fokas
Complex variables provide powerful methods for attacking many difficult problems, and it is the aim of this book to provide a thorough grounding in these methods and their application. This new edition has been improved throughout and is ideal for use in undergraduate and introductory graduate courses in complex variables.
ISBN: 9780521682152
Differential Equations A.C. King, J. Billingham & S.R. Otto
647pp
` 550.00
Finding and interpreting the solutions of differential equations is a central and essential part of applied mathematics. This book aims to enable the reader to develop the required skills needed for a thorough understanding of the subject. The authors focus on the business of constructing solutions analytically, and interpreting their meaning, using rigorous analysis where needed. MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting and unusual real world problems. A large selection of exercises is provided, including several lengthier projects, some of which involve the use of MATLAB. The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. ISBN: 9780521670456
20
552pp
` 545.00
A Course in Combinatorics J.H. Van Lint & R.M. Wilson
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject.
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Maths A Self-Study Guide Second Edition (CLPE) Jenny Olive
616pp
` 545.00
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ISBN: 9780521612951
21
578pp
` 595.00
Mathematics for Economics and Finance
An introduction to mathematical modelling in economics and finance for students of both economics and mathematics. Throughout, the stress is firmly on how mathematics relates to economics, illustrated with copious examples and exercises that will foster depth of understanding.
Martin Anthony & Norman Biggs
ISBN: 9780521683197
Mathematical Models in Biology An Introduction Elizabeth S. Allman & John A. Rhodes
394pp
` 395.00
This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and nonlinear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text.
ISBN: 9780521615556
22
370pp
` 445.00
Randomized Algorithms Rajeev Motwani & Prabhakar Raghavan
For many applications a randomized algorithm is the simplest algorithm available, or the fastest, or both. This text by two well-known experts in the field presents the basic concepts in the design and analysis of randomized algorithms at a level accessible to beginning graduate students. The first part of the book presents basic tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book each of the seven chapters focuses on one important area of application of randomized algorithms: data structures, geometric algorithms, graph algorithms, giving a comprehensive and representative selection of the algorithms in these areas.
ISBN: 9780521613903
First Course in Metric Spaces B. K. Tyagi
492pp
` 595.00
First Course in Metric Spaces provides a foundation for modern pure mathematics. The book is completely rigorous in its approach and covers all the standard topics. It provides ample solved examples and theorems to assist the students in self-study. The book contains many exercises to test understanding of the concepts learnt. The book is expected to meet the requirement of the undergraduate and graduate students, teachers and researchers in terms of sufficiently advanced material covered in the book. Key Features • Contents explained in simple and lucid style • Detailed derivations of theorems with mathematical rigour • Course book for B.A/B.Sc (Hons) Mathematics ISBN: 9788175967281
23
364pp
` 350.00
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This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/ 9781107647831.
Second Edition David A. Brannan, Matthew F. Esplen & Jeremy J. Gray
ISBN: 9781107627888
540pp
` 495.00
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INDEX A
Central Simple Algebras and Galois Cohomology ........................................... 12
A Comprehensive Course in Number Theory ..... 4
Classical Mechanics ......................................... 18
A Course in Combinatorics ............................... 21
Cojocaru, Alina Carmen .................................... 14
A First Course in Probability and Statistics ....... 16
Complex Variables ...................................... 10, 20
A Guide to MATLAB ............................................ 6
Computational Discrete Mathematics ............... 18
Ablowitz, Mark J. ............................................... 20
Curved Spaces ................................................. 13
Advanced Topics In Applied Mathematics ........... 3 All the Mathematics You Missed ....................... 19
D
Allman, Elizabeth S. .......................................... 22
Davey, B. A ........................................................ 17
An Introduction to Fluid Dynamics .................... 17
Dempster, M. A. H. ............................................ 10
An Introduction to Invariants and Moduli ........... 13
Differential Equations ........................................ 20
An Introduction to Sieve Methods and Their Applications ....................................................... 14
E
An Outline of Ergodic Theory ............................ 11
Elementary Differential Geometry ....................... 9
Anthony, Martin ................................................. 22
Esplen, Matthew F. ............................................ 24
B
Essential Mathematical Methods for the Physical Sciences ......................................... 8
Baker, Alan .......................................................... 4 Bär, Christian ...................................................... 9
F
Basic Abstract Algebra ...................................... 19
First Course in Metric Spaces ........................... 23
Basic Commutative Algebra ................................ 2
Fokas, Athanassios S. ...................................... 20
Basic Control Volume Finite Element Methods for Fluids and Solids .............. 5
Foundation Mathematics for the Physical Sciences ............................................... 7
Batchelor, G.K. .................................................. 17
G
Benson, D. J. .................................................... 14
Garrity, Thomas A. ............................................ 19
Bhattacharya, P.B. ............................................ 19
Geometry .......................................................... 24
Biggs, Norman .................................................. 22
Gille, Philippe .................................................... 12
Billingham, J ...................................................... 20
Gray, Jeremy J. ................................................. 24
BollobĂĄs, Bela ................................................... 11
Gregory, R. Douglas ......................................... 18
Brannan, David A .............................................. 24
H
Brownian Motion ............................................... 12
Hattori, Harumi .................................................... 3
C
High Accuracy Computing Methods .................... 4
Carothers, N.L. .................................................. 15
Hobson, M. P. .................................................. 7, 8 Hunt, Brian R. ..................................................... 6
26
I
O
Introduction to Algebraic Geometry and Commutative Algebra .......................................... 5
Olive, Jenny ...................................................... 21
Introduction to Lattices and Order ..................... 17
Oxbury, W. M. ................................................... 13
Otto, S.R. .......................................................... 20
Introduction to Linear Algebra ............................. 6
P
J
Partial Differential Equations ............................... 3
Jain, S.K. ........................................................... 19
Patil, Dilip P ......................................................... 5
James, Ioan ...................................................... 16
Pemmaraju, Sriram ........................................... 18
K
Peres, Yuval ...................................................... 12
Kalikow, Steven ................................................. 11
Popular Problems and Puzzles in Mathematics .................................................... 2
Kapoor, A. K. ..................................................... 10
Powell, F.C. ....................................................... 15
King, A.C. .......................................................... 20
Priestly, H. A. ..................................................... 17
L
R
Lipsman, Ronald L. ............................................. 6
Raghavan, Prabhakar ....................................... 23
M
Randomized Algorithms .................................... 23
Mallik, Asok Kumar ............................................. 2
Rao, B. L. S. Prakasa ....................................... 16
Mathematical Models in Biology ....................... 22
Real Analysis .................................................... 15
Mathematics for Economics and Finance ......... 22
Remarkable Mathematicians ............................ 16
Maths ................................................................ 21
Representations and Cohomology .................... 14
McCutcheon, Randall ........................................ 11
Rhodes, John A. ................................................ 22
McKillup, Steve ................................................... 7
Riley, K. F. ....................................................... 7, 8
Metric Spaces ................................................... 23
Risk Management ............................................. 10
Miller, J.C.P. ...................................................... 15
Rosenberg, Jonathan M. ..................................... 6
Monahan, John F. ............................................... 9
S
Mรถrters, Peter ................................................... 12
Sengupta, Tapan K. ............................................ 4
Motwani, Rajeev ............................................... 23
Singh, Balwant ................................................... 2
Mukai, Shigeru .................................................. 13
Skiena, Steven .................................................. 18
Murty, M. Ram ................................................... 14
Statistics Explained ............................................. 7
N
Storch, Uwe ........................................................ 5
Nagpaul, S.R. .................................................... 19
Strang, Gilbert ..................................................... 6
Nair, Sudhakar .................................................... 3
Student Solution Manual for Essential Mathematical Methods for the Physical Sciences ............................................... 8
Numerical Methods of Statistics .......................... 9
Szamuely, Tamรกs .............................................. 12
27
T
Voller, Vaughan R ............................................... 5
The Art of Mathematics ..................................... 11 The Cambridge Elementary Mathematical Tables ......................................... 15 Tyagi, B. K. ........................................................ 23
W Wilson, P. M. H. ................................................. 13 Wilson, R.M. ...................................................... 21
V Van Lint, J.H. ..................................................... 21
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