SPRING CATALOGUE2022
81CONTENTSHIGHLIGHTSALGEBRA&ALGEBRAIC GEOMETRY 10 ANALYSIS 12 APPLIED MATHEMATICS 13 CALCULUS 14 DIFFERENTIAL EQUATIONS 16 DISCRETE MATHEMATICS & COMBINATORICS 17 GENERAL INTEREST 19 GEOMETRY & TOPOLOGY 22 LOGIC & FOUNDATIONS 23 MATHEMATICAL PHYSICS 25 MATHEMATICS EDUCATION 27 NUMBER THEORY 28 PROBABILITY & STATISTICS 29 CONTEMPORARY MATHEMATICS 30 MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
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Founded in 1888 to further mathematical research and scholarship, the American Mathematical Society fulfils its mission through programmes and services that promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life.
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Paperback £32.50 / €38.00
Burkard Polster & Marty Ross
A humorous and quirky collection of unusual, ingenious, and beautiful morsels of mathematics. Authors Burkard Polster (YouTube's Mathologer) and Marty Ross delve into mathematical puzzles and phenomena in engaging stories featuring current events, sports, and history, many flavoured with a distinctive bit of Australiana.
Paperback £32.50 / €38.00
Also Available: A DINGO ATE MY MATH BOOK
1
PUTTING TWO AND TWO TOGETHER Selections from the Mathologer Files AM
Jan 2022 9781470460112270pp
Mathematics from Down Under Burkard Polster & Marty Ross
Presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavour. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. 2018 9781470435219272pp
PUTTING TWO AND TWO TOGETHER and A DINGO ATE MY MATH BOOK Burkard Polster & Marty Ross Jan 2022 523pp , 2 volumes 9781470469184 Paperback £41.50 / €47.00
HIGHLIGHTS HIGHLIGHTS
Feb 2022 9781470465407549pp
In collaboration with Guilherme T. Goedert & Heber Mesa Graduate Studies in Mathematics, Vol. 212
Paperback £69.95 / €82.00
LECTURES ON POISSON GEOMETRY
The book can serve as an introductory text for advanced undergraduate students and for graduate students in mathematics, engineering, and physical sciences. Each chapter ends with suggestions for further reading and exercises for students.
Tai-Ping Liu Graduate Studies in Mathematics, Vol. 215 Presents the fundamentals of the shock wave theory.
SHOCK WAVES
2 ADIFFERENTIALHIGHLIGHTSHIGHLIGHTSEQUATIONSDynamicalSystemsApproach to Theory and Practice
—Alan Weinstein, University of California at Berkeley
“This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way.“
Dec 2021 9781470466671479pp
Marius Crainic, Rui Loja Fernandes & Ioan Mărcuţ
This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré’s vision for the field over a century ago. The authors present the core topics that every young mathematician of our time — pure and applied alike — ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques.
Graduate Studies in Mathematics, Vol. 217
Paperback £69.95 / €82.00
Jan 2022 9781470466251437pp
Paperback £69.95 / €82.00 AM AM
Marcelo Viana & José M. Espinar
Pure and Applied Undergraduate Texts, Vol. 52
Pure and Applied Undergraduate Texts, Vol.55
Joseph H. Silverman
INTRODUCTION TO DIFFERENTIAL EQUATIONS
May 2022 9781470468606567pp
HIGHLIGHTS 3HIGHLIGHTS
Louis-Pierre Arguin
A complete guide for advanced undergraduate students to take the next step in exploring probability theory and for master's students in mathematical finance who would like to build an intuitive and theoretical understanding of stochastic processes. This book is also an essential tool for finance professionals who wish to sharpen their knowledge and intuition about stochastic calculus.
Jan 2022 9781470467623388pp Paperback £73.95 / €86.00
A FIRST COURSE IN STOCHASTIC CALCULUS
Feb 2022 9781470464882270pp Paperback £69.95 / €82.00
Introduces students to the theory and practice of differential equations, which are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. This second edition incorporates much new material, including sections on the Laplace transform and the matrix Laplace transform, a section devoted to Bessel's equation, and sections on applications of variational methods to geodesics and to rigid body motion. There is also a more complete treatment of the Runge-Kutta scheme, as well as numerous additions and improvements to the original text.
Second Edition
Paperback £41.50 / €47.00
Michael E. Taylor
An Integrated Approach
AMAM
ABSTRACT ALGEBRA
Takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. The second half of the book contains material of a more advanced nature to whet the reader’s appetite for further study.
Pure and Applied Undergraduate Texts, Vol. 53
4HIGHLIGHTS
MAA Press
DISCOVERING ABSTRACT ALGEBRA
MSRI Mathematical Circles Library, Vol. 27
Jan 2022 9781470465148339pp
AMS/MAA Textbooks, Vol. 68
HIGHLIGHTS
John K. Osoinach, Jr.
Paperback £37.50 / €44.00
Paperback £69.95 / €82.00
Paperback £57.50 / €67.00
Provides a gentle introduction to advanced mathematics for students who previously have not had extensive exposure to proofs. The book is intended to ease the student's transition from algorithmic mathematics to the world of mathematics that is built around proofs and concepts.
MATH OUT LOUD An Oral Olympiad Handbook Steven Klee, Kolya Malkin & Julia Pevtsova
Jan 2022 9781470464424199pp
MAA Press
A co-publication of the AMS and the Mathematical Sciences Research Institute
Recounts the authors’ experiences from the first ten years of running a Math Hour Olympiad at the University of Washington in Seattle. The major part of the book is devoted to problem sets and detailed solutions, complemented by a practical guide for anyone who would like to organise an oral olympiad for students in their community. Feb 2022 9781470466930243pp
AMS/MAA Textbooks, Vol. 67 Takes an inquiry-based learning approach to the subject, leading students to discover for themselves the main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before being formally defined.
PROOFS AND IDEAS A Prelude to Advanced Mathematics B. Sethuraman
Part 3: Combinatorics will be published soon.
A co-publication of the AMS and the Mathematical Sciences Research Institute
HIGHLIGHTS 5
The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into more sophisticated topics such as projective and affine geometry, solid geometry and more. Feb 2022 9781470448790177pp Paperback £44.95 / €53.00
MSRI Mathematical Circles Library, Vol. 26
Also Available: MATHEMATICS VIA PROBLEMS
MATHEMATICS VIA PROBLEMS Part 2: Geometry Alexey A. Zaslavsky & Mikhail B. Skopenkov
A co-publication of the AMS and the Mathematical Sciences Research Institute
A translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession.
Part 1: Algebra Arkadiy Skopenkov MSRI Mathematical Circles Library, Vol. 25 2021 9781470448783196pp Paperback £37.50 / €44.00
The main goal of this book is to develop important parts of mathematics through problems.
HIGHLIGHTS
MATHEMATICS FOR SOCIAL JUSTICE
Also Available: MATHEMATICS FOR SOCIAL JUSTICE Resources for the College Classroom
Edited by Gizem Karaali & Lily S. Khadjavi Classroom Resource Materials, Vol. 60
HIGHLIGHTS
MAA Press
Edited by Gizem Karaali & Lily S. Khadjavi Classroom Resource Materials, Vol. 66 Offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book comprises seventeen classroom-tested modules featuring ready-to-use activities and investigations for college mathematics and statistics courses. Jan 2022 9781470449278286pp Paperback £49.95 / €58.00
MAA Press
MATHEMATICS FOR SOCIAL JUSTICE Resources for the College Classroom and Focusing on Quantitative Reasoning and Statistics Jan 2022 564pp, 2 volumes 9781470469177 Paperback £81.95 / €95.00
Focusing on Quantitative Reasoning and Statistics
A collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. 2019 9781470449261277pp Paperback £44.95 / €53.00
6HIGHLIGHTS
MAA Press
Pramod N. Achar
Feb 2022 9781470455972562pp Paperback £103.00 / €120.00
AMS Chelsea Publishing PERVERSE SHEAVES AND APPLICATIONS TO REPRESENTATION THEORY
Feb 2022 9781470466428426pp Paperback £103.00 / €120.00
COMPLEX ANALYSIS
Mathematical Surveys and Monographs, Vol. 258
Lars Ahlfors AMS Chelsea Publishing, Vol. 385 Offers a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable. The book covers standard topics in an introductory complex analysis course. The presentation is slanted toward the geometric approach to complex analysis.
Jan 2022 9781470467678331pp Paperback £49.95 / €58.00
Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book gives a comprehensive account of constructible and perverse sheaves on complex algebraic varieties, and show how to put this to work in the context of geometric representation theory.
HIGHLIGHTS
HIGHLIGHTS 7
William Heinzer, Christel Rotthaus & Sylvia Wiegand
Constructions and Examples
INTEGRAL DOMAINS INSIDE NOETHERIAN POWER SERIES RINGS
An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition
Mathematical Surveys and Monographs, Vol. 259 Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach.
DISCOVERING ABSTRACT ALGEBRA
8 ALGEBRA & ALGEBRAIC GEOMETRY ALGEBRA & ALGEBRAIC GEOMETRY ABSTRACT ALGEBRA
A Historical Perspective, Second Edition Jorg Bewersdorff Student Mathematical Library, Vol. 95 Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations.
See page 7 for details of this title.
Paperback £69.95 / €82.00
GALOIS THEORY FOR BEGINNERS
ESSENTIALS OF COMBINATORICSTROPICAL
INTEGRAL DOMAINS INSIDE ConstructionsPOWERNOETHERIANSERIESRINGSandExamples
Feb 2022 9781470466718365pp Paperback £103.00 / €120.00
HOPF ALGEBRAS AND GALOIS MODULE THEORY
Paperback £69.95 / €82.00
John K. Osoinach, Jr. See page 4 for details of this title.
Feb 2022 9781470466657256pp
William Heinzer, Christel Rotthaus & Sylvia Wiegand
DIAGRAMMATIC ALGEBRA J. Scott Carter & Seiichi Kamada Mathematical Surveys and Monographs, Vol. 264 Offers an introduction to techniques and results in diagrammatic algebra. The book starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory.
Lindsay N. Childs et al Mathematical Surveys and Monographs, Vol. 260 Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory.
Oct 2021 9781470465001217pp Paperback £48.95 / €57.00
Designed for a one-term introductory course on algebraic varieties over an algebraically closed field, and provides a solid basis for a course on schemes and cohomology or on specialized topics, such as toric varieties and moduli spaces of curves. The book balances generality and accessibility by presenting local and global concepts.
See page 3 for details of this title.
Joseph H. Silverman
Brian Osserman Graduate Studies in Mathematics, Vol. 216
Michael Joswig Graduate Studies in Mathematics, Vol. 219 The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity.
Feb 2022 9781470467418406pp
An Integrated Approach
Jan 2022 9781470465162311pp Paperback £103.00 / €120.00
A CONCISE INTRODUCTION TO ALGEBRAIC VARIETIES
TATEMODULESCOHEN-MACAULAYMAXIMALANDCOHOMOLOGY
Maximal Cohen-Macaulay modules and Tate Cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal CohenMacaulay modules over (not necessarily commutative) Gorenstein rings.
Sep 2021 9781470462956434pp
LINEAR SecondGATEWAYALGEBRA:TOMATHEMATICSEdition
BESTSELLERS
2009 9781470465711713pp
ALGEBRAIC CURVES AND RIEMANN SURFACES
Feb 2022 9781470453404175pp
Graduate Studies in Mathematics, Vol. 161 Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics. This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students.
Ragnar-Olaf Buchweitz Mathematical Surveys and Monographs, Vol. 262 Presents a lightly edited version of the unpublished manuscript
SPECTRAL GRAPH THEORY
Fan R.K. Chung CBMS Regional Conference Series in Mathematics, Vol. 92 Based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University, this exposition can be likened to a conversation with a good teacher — one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas.
Robert Messer AMS/MAA Textbooks, Vol. 66 Uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations.
A co-publication of the AMS and CBMS
2015 9780821851982363pp Hardback £69.50 / €81.00
Paolo Aluffi Graduate Studies in Mathematics, Vol. 104 Offers an introduction to the main topics of algebra. This book also offers an introduction to categories used as a unifying theme in the presentation of the main topics. It includes approximately 1,000 exercises that provide practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics.
Rick Miranda Graduate Studies in Mathematics, Vol. 5 Takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. This book covers Riemann surfaces, with complex charts and meromorphic functions taking centre stage. 1995 9780821802687390pp
INTRODUCTION TO TROPICAL GEOMETRY
ALGEBRA:CHAPTER0
Paperback £69.95 / €82.00
Paperback £103.00 / €120.00
Paperback £73.95 / €86.00 MAA Press
9ALGEBRA & ALGEBRAIC GEOMETRY
Hardback £52.95 / €62.00
1996 9780821803158212pp Paperback £31.50 / €36.00
Diane Maclagan & Bernd Sturmfels
Discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations.
Paperback £103.00 / €120.00
AMS/MAA Textbooks, Vol. 69 Designed to give future secondary teachers a deep understanding of the real numbers and functions on the reals. By presenting just that part of the subject that underlies the high school curriculum, this book offers an alternative to a standard real analysis sequence for advanced undergraduate or beginning graduate students.
David M. Clark & Xiao Xiao
Paperback £33.95 / €40.00
Hardback £83.95 / €97.00
2011 9780821848197841pp
ANALYSIS ALGEBRA
ALGEBRAIC GEOMETRY • ANALYSIS
Jiři Matoušek Student Mathematical Library, Vol. 53 Contains a collection of mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms.
David A. Cox, John B. Little & Henry K. Schenck Graduate Studies in Mathematics, Vol. 124
Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry.
Shiri ApostolosArtstein-Avidan,Giannopoulos & Vitali D. Milman
Mathematical Surveys and Monographs, Vol. 261
TORIC VARIETIES
GUIDEDLINENUMBERTHROUGHINQUIRY
MAA Press &
Paperback £37.50 / €44.00
2010 9780821849774182pp
Feb 2022 9781470463601686pp
ASYMPTOTIC GEOMETRIC ANALYSIS, PART II
MAXIMAL FUNCTION METHODS FOR SOBOLEV SPACES Juha Kinnunen, Juha Lehrbäck & Antti Vähäkangas Mathematical Surveys and Monographs, Vol. 257
COMPLEX ANALYSIS An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition Lars Ahlfors See page 7 for details of this title.
10
Feb 2022 9781470465759354pp
Each chapter covers a single main result with motivation and full proof, and assumes only a modest background in linear algebra. The topics include Hamming codes, the matrix-tree theorem, the Lovász bound on the Shannon capacity, and a counterexample to Borsuk's conjecture.
THIRTY-THREEMINIATURESMathematicalandAlgorithmicApplicationsofLinearAlgebra
Paperback £103.00 / €120.00
Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, and the Banach-Mazur compactum.
THE
Feb 2022 9781470465049124pp
Second Edition David Bressoud AMS/MAA Textbooks, Vol. 10 In this second edition of the MAA classic, exploration continues to be an essential component.
Hardback £76.95 / €89.00
Mar 2022 9781470464547370pp
ANALYSISSecondEdition
Benjamin B. Kennedy AMS/MAA Textbooks, Vol. 70 Designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and n-dimensional Euclidean space, but also sequence and function spaces.
2009 9780821847909433pp
MAA Press RIDGE FUNCTIONS AND APPLICATIONS AM IN NEURAL NETWORKS
Paperback £103.00 / €120.00
Feb 2022 9781470467654186pp
Patrick M. Fitzpatrick Pure and Applied Undergraduate Texts, Vol. 5
Suitable as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis, this book intends to present the fundamental concepts within the context of examples and exercises. It starts with the creation of basic tools using the completeness axiom. 2009 9780821847916590pp
2001 9780821827833348pp
Vugar E. Ismailov Mathematical Surveys and Monographs, Vol. 263 Describes various approximation theoretic properties of ridge functions. The book also discusses properties of generalized ridge functions, and their relation to linear superpositions and Kolmogorov's famous superposition theorem. In the final part of the book, a single and two hidden layer neural networks are discussed.
Hardback £42.50 / €49.00
WELCOME TO REAL DistanceContinuityANALYSISandCalculus,andDynamics
Elliott H. Lieb & Michael Loss Graduate Studies in Mathematics, Vol. 14 Presents the concepts and tools to solve problems of analysis, and shows how to apply these concepts to research in a variety of areas. This work covers the min-max principle, semi-classical approximation, coherent states and Lieb-Thirring inequalities. It also covers Sobolev Inequalities, including the Nash and Log Sobolev inequalities.
Hardback £67.50 / €78.00
FOURIER ANALYSIS AND APPLICATIONSITS
SecondADVANCEDBESTSELLERSCALCULUSEdition
A RADICAL APPROACH TO REAL ANALYSIS
Gerald B. Folland Pure and Applied Undergraduate Texts, Vol. 4 Presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. This title includes material on Bessel functions, orthogonal polynomials, and Laplace transforms.
Paperback £53.95 / €63.00
More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. Feb 2022 9781470469047339pp
Paperback £57.50 / €67.00 MAA Press
11ANALYSIS
Hardback £94.95 / €111.00
Proceedings of Symposia in Applied Mathematics, Vol. 78 Mean field game theory offers a robust methodology for studying large systems of interacting rational agents. The six chapters that make up this volume provide an overview of the subject, from the foundations of the theory to applications in economics and finance, including computational aspects.
Feb 2022 9781470455866284pp
Paperback £99.50 / €115.00
PORTFOLIO THEORY AND ARBITRAGE A Course Mathematicalin Finance
Jan 2022 9781470465988214pp Paperback £69.95 / €82.00
Pure and Applied Undergraduate Texts, Vol. 29 Offers a modern introduction to real analysis at the advanced undergraduate level. It is forwardlooking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra.
APPLIED MATHEMATICS
ANALYSIS • APPLIED MATHEMATICS
If you are a teaching academic or course leader you may request up to three titles as FREE inspection copies to consider as textbooks for students on your course. For further details please visit: eurospan.co.uk/inspection
AnSPACESIntroduction to Real Analysis
MEAN FIELD GAMES
AN INTRODUCTION TO MEASURE THEORY
Ioannis Karatzas & Constantinos Kardaras Graduate Studies in Mathematics, Vol. 214 Develops a mathematical theory for finance, based on an intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-to-test in specific models, as it is described in terms of the underlying market characteristics.
LECTURES ON THE FOURIER TRANSFORM AND AM ITS APPLICATIONS
Brad G. Osgood Pure and Applied Undergraduate Texts, Vol. 33
Terence Tao Graduate Studies in Mathematics, Vol. 126
Derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques, the author's goal is to help engineering and science students cultivate more advanced mathematical know-how.
2019 9781470441913702pp
Tom L. Lindstrom
2017 9781470440626369pp
Paperback £49.95 / €58.00
Edited by François Delarue
12
Introduces the fundamentals of measure theory and integration theory. It focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral, before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Caratheodory extension theorem. Classical differentiation theorems are also covered, as are connections with probability theory.
2011 9781470466404206pp
Hardback £73.95 / €86.00
Provides a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. Standard topics and techniques in singlevariable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way.
Roger B. Nelsen
MAA Press CALCULUS FROM APPROXIMATION TO THEORY Dan Sloughter AMS/MAA Textbooks, Vol. 64 Takes a fresh and innovative look at the teaching and learning of calculus. This text places its emphasis on the approximating processes and thus illuminates the motivating ideas and makes clearer the scientific usefulness, indeed centrality, of the subject while paying careful attention to the theoretical foundations.
Classroom Resource Materials, Vol. 49 A thespian or cinematographer might define a cameo as a brief appearance of a known figure, while a gemologist or lapidary might define it as a precious or semiprecious stone. This book presents fifty short enhancements or supplements (the cameos) for the first-year calculus course in which a geometric figure briefly appears.
2018 9781470442460365pp
Hardback £64.95 / €76.00
Geometry, Vectors, and Multivariate Calculus
Hardback £41.50 / €48.00
2009 9781470466756508pp
MAA Press
An accessible, well-written textbook for an honours course in multivariable calculus for mathematically strong first- or second-year university students. The treatment carefully balances theoretical rigour, the development of student facility in the procedures and algorithms, and inculcating intuition into underlying geometric principles.
Jan 2021 9781470455880571pp
A PROBLEMS BASED COURSE IN ADVANCED CALCULUS
Paperback £28.95 / €34.00
Pure and Applied Undergraduate Texts, Vol. 32 Suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken an introductory course in calculus.
MAA Press
2015 9780883857885169pp
Paperback £81.95 / €95.00 MAA Press
13CALCULUS ACALCULUSBESTSELLERSCALCULUSDECONSTRUCTEDSecondCourseinFirst-YearCalculus
CALCULUS IN 3D
2018 9781470443603405pp
2020 9781470447991277pp
Zbigniew Nitecki AMS/MAA Textbooks, Vol. 40
Paperback £41.50 / €48.00
MAA Textbooks, Vol. 16
Hardback £64.95 / €76.00 MAA Press CAMEOS FOR CALCULUS Visualization in the First-Year Course
φ,π,e & i David Perkins Spectrum, Vol. 96 Certain constants occupy precise balancing points in the cosmos of number, like habitable planets sprinkled throughout our galaxy at just the right distances from their suns. This book introduces and connects four of these constants (φ,π,e & i). The authors discuss their properties, as a group, at a level appropriate for an audience armed only with the tools of elementary calculus.
John M. Erdman
Zbigniew H. Nitecki
Hardback £81.95 / €95.00
andApproachADIFFERENTIALEQUATIONSEQUATIONSDynamicalSystemstoTheoryPractice
Paperback £69.95 / €82.00
R. Clark Robinson Pure and Applied Undergraduate Texts, Vol. 19 Provides a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book can be covered independently in one semester each or combined together into a year long course. 2016 9780821891353733pp
Jan 2022 9781470465551322pp
Paperback £103.00 / €120.00
Hung Vinh Tran Graduate Studies in Mathematics, Vol. 213 Provides an extensive survey of many important topics in the theory of Hamilton-Jacobi equations with particular emphasis on modern approaches and viewpoints. The book is self-contained and is useful for a course or for reference. It can also serve as a gentle introductory reference to the homogenization theory.
ONE-DIMENSIONALTURBULENCEANDTHESTOCHASTICBURGERSEQUATION
Marcelo Viana & José M. Espinar
Alexandre Boritchev & Sergei Kuksin Mathematical Surveys and Monographs, Vol. 255 Dedicated to the qualitative theory of the stochastic one-dimensional Burgers equation with small viscosity under periodic boundary conditions and to interpreting the obtained results in terms of one-dimensional turbulence in a fictitious one-dimensional fluid described by the Burgers equation. Oct 2021 9781470464363192pp
See page 2 for details of this title.
BESTSELLERS
TheoryEQUATIONSHAMILTON-JACOBIandApplications
14 DIFFERENTIAL EQUATIONS DIFFERENTIAL
AN INTRODUCTION TO SYSTEMSDYNAMICALContinuousandDiscrete,SecondEdition
INTRODUCTION TO DIFFERENTIAL EQUATIONS Second Edition Michael E. Taylor See page 3 for details of this title.
DIFFERENTIALPARTIAL EQUATIONS
Feb 2021 9781470461614226pp Paperback £115.00 / €134.00
Graduate Studies in Mathematics, Vol. 140 Provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. It contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.
INVITATION TO
KEY DIFFERENTIALPARTIALBESTSELLER
2020 9780821836408319pp
Lawrence C. Evans Graduate Studies in Mathematics, Vol. 19 This is the definitive text on partial differential equations (PDEs). It offers a comprehensive survey of modern techniques in the theoretical study of PDEs with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. This revised edition incorporates numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography.
If you are a teaching academic or course leader you may request up to three titles as FREE inspection copies to consider as textbooks for students on your course. For further details please visit: eurospan.co.uk/inspection
Gerald Teschl
Mikhail Shubin Edited by Maxim Braverman, Robert McOwen & Peter Topalov Graduate Studies in Mathematics, Vol. 205 Based on notes from a beginning graduate course on partial differential equations. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they may require new ideas to solve them, provide additional important information about the subject.
2012 9780821883280356pp Hardback £56.50 / €66.00
ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
David Hoff Mathematical Surveys and Monographs, Vol. 251 Presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients.
15DIFFERENTIALTheoryAnEQUATIONSPARTIALEQUATIONSDIFFERENTIALAccessibleRoutethroughandApplications
2015 9781470469832280pp Paperback £61.50 / €71.00
András Vasy Graduate Studies in Mathematics, Vol. 169 Intended for readers who want to understand the theoretical underpinnings of modern PDEs in settings that are important for the applications without using extensive analytic tools required by most advanced texts. The assumed mathematical background is at the level of multivariable calculus and basic metric space material.
LINEAR PARABOLICQUASILINEARANDSYSTEMSSobolevSpaceTheory
Second Edition
2010 9780821849743749pp Hardback £81.95 / €95.00
EQUATIONS
Hardback £73.95 / €86.00
COMBINATORICSAGuidedTour
Pure and Applied Undergraduate Texts, Vol. 49
Offers a gentle introduction to the enumerative part of combinatorics. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set.
16 DISCRETE MATHEMATICS & COMBINATORICS PROOFS AND IDEAS
THE KNOT BOOK An IntroductionElementaryto the Mathematical Theory of Knots Colin C. Adams Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
DISCRETE MATHEMATICS & COMBINATORICS
GAME THEORY, ALIVE Anna R. Karlin & Yuval Peres AM Presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. Both classical topics and modern topics are covered.
A FIRST COURSE IN ENUMERATIVE COMBINATORICS
2017 9781470419820372pp
BESTSELLERS
AM V.I. Arnold MSRI Mathematical Circles Library, Vol. 16 Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.
Paperback £24.50 / €28.00
See page 4 for details of this title.
MATHEMATICSEXPERIMENTAL
David R. Mazur AMS/MAA Textbooks, Vol. 55
A co-publication of the AMS and the Mathematical Sciences Research Institute
2015 9780821894163158pp
2004 9780821836781277pp Paperback £31.50 / €36.00
THECOMBINATORICS:ARTOFCOUNTING
Hardback £56.50 / €66.00
2020 9781470460327304pp
MAA Press
2020 9781470453008390pp
Bruce E. Sagan Graduate Studies in Mathematics, Vol. 210
Paperback £73.95 / €86.00
Hardback £62.50 / €72.00
A Prelude to Advanced Mathematics B. Sethuraman
Paperback £69.95 / €82.00
Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification.
A careful and comprehensive account of the standard tools of enumeration and their application to counting problems for the fundamental structures of discrete mathematics. 2020 9781470459956272pp
Carl G. Wagner
A Source-Based Approach, Volume 2 June Barrow-Green, Jeremy Gray & Robin Wilson AMS/MAA Textbooks, Vol. 61 Offers a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. May 2022 9781470443825724pp Hardback £73.95 / €86.00
Discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis.
NINE MATHEMATICAL CHALLENGES An Elucidation
Proceedings of Symposia in Pure Mathematics, Vol. 104
A Source-Based Approach, Volume 1 June Barrow-Green, Jeremy Gray & Robin Wilson AMS/MAA Textbooks, Vol. 45 Takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. 2019 9781470443528496pp Hardback £73.95 / €86.00
Part 2: Geometry Alexey A. Zaslavsky & Mikhail B. Skopenkov
StoriesTESTIMONIOSofLatinx and Hispanic Mathematicians
The first collection of puzzles by Tadao Kitazawa. These puzzles, which feature arithmetic, geometry, and combinatorics, are novel, creative, and require almost no formal mathematical knowledge.
See page 5 for details of this title.
THE HISTORY OF MATHEMATICS
MATHEMATICS VIA PROBLEMS
Edited by Pamela E. Harris et al Classroom Resource Materials, Vol. 67 Brings together first-person narratives from the vibrant, diverse, and complex Latinx and Hispanic mathematical community.
MAA Press THE HISTORY OF MATHEMATICS
MAA Press
Jan 2022 9781470467364184pp Paperback £28.95 / €34.00
MAA Press A CONVERSATION ON PROFESSIONAL NORMS IN MATHEMATICS
Edited by Mathilde Gerbelli-Gauthier et al Topics range from mechanisms that lead to an inclusion-exclusion dichotomy within mathematics to common pitfalls and better alternatives to how mathematicians approach teaching, mentoring and communicating mathematical ideas. 9781470467135Dec2021479pp Paperback£69.95 /€82.00
A Source-Based Approach, Volumes 1 & 2 AMS/MAA Textbooks May 2022 1,212pp, 2 volumes 9781470464998 Hardback £132.00 / €154.00 MAA Press
17GENERAL INTEREST GENERAL INTERESTARITHMETICAL,GEOMETRICALANDCOMBINATORIALPUZZLESFROMJAPAN
Edited by A. Kechris et al
Feb 2022 9781470454906221pp Paperback £113.00 / €132.00
MAA Press THE HISTORY OF MATHEMATICS
PUTTING TWO AND TWO TOGETHER Selections from the Mathologer Files Burkard Polster & Marty Ross
See page 1 for details of this title.
Feb 2022 9781470466572286pp Paperback £19.95 / €24.00
Tadao Kitazawa AMS/MAA Spectrum, Vol.102
MAA Press STRUCTURE AND RANDOMNESS
2019 9781470449575372pp
Terence Tao Contains articles that discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein’s equation E = mc2, or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, and Fourier analysis.
Evelyn Lamb A collection of 366 mathematical morsels. Each day features a fun maths fact, a tidbit of maths history, a piece of art made using mathematics, a mathematical puzzle or activity, or another mathematical delight. Topics range from the serious to the silly, from the abstract to the very real.
18 GENERAL INTEREST BESTSELLERS
2009 199pp, 9781470448387photosPaperback £28.95 / €34.00
InnerAnMATHEMATICIANSOuterViewoftheWorld
Paperback £19.95 / €23.00
Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could go about proving it. The proofs in this collection are arranged into geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series.
AMS PAGE A DAY CALENDAR
2009 9780821846957298pp Paperback £33.95 / €40.00
Mariana Cook Offers a remarkable collection of ninety-two photographic portraits, featuring a selection of the most mathematiciansimpressiveofour time. Acclaimed photographer Mariana Cook captures the exuberance and passion of these brilliant thinkers. The superb images are accompanied by autobiographical texts.
Richard Evan Schwartz
2014 9781470414252192pp Paperback £19.95 / €22.00
YOU CAN COUNT ON MONSTERS
2020 9781470451868152pp
In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways.
Richard Evan Schwartz
REALLY BIG NUMBERS and YOU CAN COUNT ON MONSTERS 2015 436pp, 2 9781470422943volumesPaperback £35.00 / €40.00
PROOFS WITHOUT WORDS Exercises in Visual Thinking Roger B. Nelsen Classroom Resource Materials, Vol. 1
REALLY BIG NUMBERS
Paperback £44.95 / €53.00
A unique teaching tool that takes math lovers on a journey designed to motivate kids (and kids at heart) to learn the fun of factoring and prime numbers. This volume visually explores the concepts of factoring and the role of prime and composite numbers. The playful and colourful monsters are designed to provide an intuitive understanding of the building blocks of numbers and the basics of multiplication. 2015 9781470422097242pp Paperback £19.95 / €22.00
Pages from year one of a mathematical blog
Collected Works, Vol. 27.2 Contains Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory. May 2022 9781470463892615pp Hardback £103.00 / €120.00
COLLECTED WORKS OF WILLIAM P. THURSTON WITH COMMENTARY, II
19
COLLECTED WORKS OF WILLIAM B. THURSTON
Collected Works, Vol. 27 This four-part collection brings together in one place Thurston’s major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. May 2022 1,934pp, 4 volumes 9781470451646 Hardback £314.00 / €364.00 & TOPOLOGY
COLLECTED WORKS OF WILLIAM P. THURSTON WITH COMMENTARY, III
Edited by Benson Farb, David Gabai & Steven P. Kerckhoff
May 2022 9781470463908586pp Hardback £103.00 / €120.00
Edited by Benson Farb, David Gabai & Steven P. Kerckhoff
Collected Works, Vol. 27.3 Contains Thurston's papers on dynamics and computer science, and papers written for general audiences.
Edited by Benson Farb, David Gabai & Steven P. Kerckhoff
THE GEOMETRY AND TOPOLOGY THREE-MANIFOLDSOF William P. Thurston With a Preface by Steven P. Kerckhoff
COLLECTED WORKS OF WILLIAM P. THURSTON WITH COMMENTARY, I
Collected Works, Vol. 27.4 Contains Thurston's highly influential, though previously unpublished, 1977-78 Princeton Course Notes on the Geometry and Topology of three-manifolds. May 2022 9781470463915316pp Hardback £41.50 / €48.00
Collected Works, Vol. 27.1 William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think. This volume contains Thurston's papers on foliations, mapping classes groups, and differential geometry. May 2022 9781470463885733pp Hardback £103.00 / €120.00
GEOMETRY & TOPOLOGY GEOMETRY
Edited by Benson Farb, David Gabai & Steven P. Kerckhoff
COLLECTED WORKS OF WILLIAM P. THURSTON WITH COMMENTARY, THE SET
Paperback £26.50 / €30.00 MAA Press
Paperback £103.00 / €120.00
PERVERSE SHEAVES AND APPLICATIONS TO REPRESENTATION THEORY Pramod N. Achar See page 7 for details of this title.
LECTURES DIFFERENTIALON TOPOLOGY
LECTURES ON POISSON GEOMETRY
Mathematical Surveys and Monographs, Vol. 265
Imre Bárány University Lecture Series, Vol. 77 Explores the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces, and finite points sets related to convexity.
Robert R. Bruner & John Rognes
Gives a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches.
Feb 2022 9781470467098148pp
Feb 2022 9781470469580690pp
Anneli Lax New Mathematical Library, Vol. 19
See page 2 for details of this title.
20 GEOMETRY & TOPOLOGY
Edited by Daniel S. Freed et al IAS/Park City Mathematics Series, Vol. 28 Presents lectures from the Graduate Summer School ‘Quantum Field Theory and Manifold Invariants' held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Dec 2021 9781470461232476pp
SAMPLING IN COMBINATORIAL AND GEOMETRIC SET SYSTEMS
Paperback £81.95 / €95.00
Hardback £92.95 / €108.00
Nabil H. Mustafa
GEOMETRY TRANSFORMED Euclidean Plane Geometry Based on Rigid Motions
Paperback £44.95 / €53.00
James R. King Pure and Applied Undergraduate Texts, Vol. 51 Offers an expeditious yet rigorous route using axioms based on rigid motions and dilations.
QUANTUM FIELD THEORY AND INVARIANTSMANIFOLD
Marius Crainic, Rui Loja Fernandes & Ioan Mărcut
Riccardo Benedetti Graduate Studies in Mathematics, Vol. 218 Provides a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures with an emphasis on ‘bare hands' approaches, combining differential-topological cut-and-paste procedures and applications of transversality. Feb 2022 9781470466749425pp
GEOMETRY REVISITED H. S. M. Coxeter & S. L. Greitzer
Jan 2022 9781470466411193pp
Understanding the behaviour of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications.
A co-publication of the AMS and IAS/Park City Mathematics Institute
COMBINATORIAL CONVEXITY
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations.
Mathematical Surveys and Monographs, Vol. 253
Apr 2022 9781470461560251pp Paperback £103.00 / €120.00
Paperback £69.95 / €82.00
THE ADAMS SPECTRAL SEQUENCE FOR TOPOLOGICAL MODULAR FORMS
Sep 2021 9781470463076282pp
BESTSELLERS
1978 9780821844380826pp Hardback £86.50 / €100.00
Mario Garcia-Fernandez & Jeffrey Streets University Lecture Series, Vol. 76
Second Edition
AMS Chelsea Publishing
Jessica S. Purcell Graduate Studies in Mathematics, Vol. 209 Provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. The book was written to be interactive, with many examples and exercises. Some important results are left to guided exercises.
Offers a introductioncomprehensivetopoint-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat.
CURVATURE OF SPACE AND TIME, WITH AN INTRODUCTION TO GEOMETRIC ANALYSIS
21GEOMETRY & TOPOLOGY
GEOMETRY AND TOPOLOGY OF SurfacesMANIFOLDSandBeyond
2020 9781470456283243pp Paperback £48.95 / €57.00
2020 9781470461324481pp Paperback £73.95 / €86.00
For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics.
KNOTHYPERBOLICTHEORY
Presents a novel approach to differential topology. The book's main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.
Introduces geometryundergraduatesadvancedtoRiemannianandmathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps motivate the Einstein field equations.
Ralph Abraham & Jerrold E. Marsden AMS Chelsea Publishing, Vol. 364
Iva Stavrov Student Mathematical Library, Vol. 93
FOUNDATIONS OF MECHANICS
GENERALIZED RICCI FLOW
The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's generalized geometry program, and complex geometry. This book gives an introduction to this new area, discusses recent developments, and formulates open questions and conjectures for future study.
May 2021 9781470462581256pp Paperback £44.95 / €53.00
2020 9781470454999369pp Paperback £81.50 / €94.00
Michael Starbird & Francis Su AMS/MAA Textbooks, Vol. 58
TOPOLOGY THROUGH INQUIRY
2019 9781470462611313pp Paperback £48.95 / €57.00
Vicente Munoz, Angel Gonzalez-Preito & Juan Angel Rojo Graduate Studies in Mathematics, Vol. 208
MAA Press
AMS Chelsea Publishing SET THEORY Felix Hausdorff
22 LOGIC & FOUNDATIONS
BESTSELLERS
Hardback £42.50 / €49.00
2020 9781470454623340pp
2016 9781470428990217pp
1950 9780821820247172pp
GEOMETRIC SET THEORY
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum.
Paperback £41.50 / €47.00
Pure and Applied Undergraduate Texts, Vol. 26 Offers beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis.
LOGIC & FOUNDATIONS
LOGIC D. Hilbert & W. Ackermann
The Basics Winfried Just & Martin Weese Graduate Studies in Mathematics, Vol. 8 Presents an introduction to set theory for beginning graduate students who want to get a grounding in those aspects of set theory used extensively throughout other areas of mathematics. This book contains topics that include formal languages and models, the power and limitation of the Axiomatic Method, and the Axiom of Choice.
AMS Chelsea Publishing, Vol. 119 Presents various theorems of the theory of sets along with complete proofs. This book discusses strengthening of theorems, the simplification of proofs, and the removal of unnecessary hypotheses.
THE TOOLS REASONINGMATHEMATICALOF Tamara J. Lakins
AMS Chelsea Publishing
DISCOVERING MODERN SET THEORY, I
1995 9780821802663210pp
1957 9781470464943352pp
AMS Chelsea Publishing, Vol. 69 David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This text presents his treatment of symbolic logic. It lays the groundwork for his later work with Bernays.
Paperback £115.00 / €134.00
Hardback £34.95 / €41.00
Martin Hils & Francois Loeser Student Mathematical Library, Vol. 89
PRINCIPLES MATHEMATICALOF
2019 9781470452728195pp Paperback £44.95 / €53.00
A FIRST JOURNEY THROUGH LOGIC
Paul B. Larson & Jindrich Zapletal Mathematical Surveys and Monographs, Vol. 248 Introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.
Hardback £57.50 / €67.00
ASYMPTOTICS OF RANDOM MATRICES AND RELATED MODELS
LOCAL OPERATORS IN INTEGRABLE MODELS I
Paperback £103.00 / €120.00
COLLECTED PAPERS ON WAVE MECHANICS
The famous equation that bears Erwin Schrödinger's name encapsulates his profound contributions to quantum mechanics using wave mechanics. This third, augmented edition of his papers on the topic contains the six original, famous papers in which SchrÖdinger created and developed the subject of wave mechanics as published in the original edition. 1982 9780821835241208pp Hardback £36.50 / €42.00
Mathematical Surveys and Monographs, Vol. 256
SHOCK WAVES Tai-Ping Liu See page 2 for details of this title.
AMS Chelsea Publishing
Alice Guionnet CBMS Regional Conference Series in Mathematics, Vol. 130 Describes a general strategy to study the fluctuations of strongly interacting random variables. This strategy is based on the asymptotic analysis of Dyson-Schwinger (or loop) equations. The author shows how these equations are derived, and how to obtain the concentration of measure estimates required to study these equations asymptotically. 2019 9781470450274144pp Paperback £44.95 / €53.00
The Uses Dyson-Schwingerof Equations
Third Edition
Erwin Schrödinger AMS Chelsea Publishing, Vol. 302
23MATHEMATICAL PHYSICS
Michio Jimbo, Tetsuji Miwa & Fedor Smirnov
A co-publication of the AMS and CBMS
Integrable models in statistical mechanics and quantum field theory constitute a rich research field at the crossroads of modern mathematics and theoretical physics. An important issue to understand is the space of local operators in the system and, ultimately, their correlation functions and form factors. This book is the first published monograph on this subject.
MATHEMATICAL PHYSICS BESTSELLERS
Oct 2021 9781470465520192pp
METHODSMATHEMATICALIN AM
Proceedings of Symposia in Pure Mathematics, Vol. 103 May 2021 983pp, 2 volumes 9781470455903 Paperback £205.00 / €239.00
2014 9781470417017167pp Paperback £26.50 / €30.00
2019 9781470452711192pp Paperback £49.95 / €58.00
QUANTUM FIELD ITSFORMALISMBATALIN-VILKOVISKYTHEORY:ANDAPPLICATIONS
The Set (Parts I and II)
This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership.
MATHEMATICAL UNDERSTANDING OF NATURE AM
Essays on Amazing Physical Phenomena and their Understanding by Mathematicians V. I. Arnold
Edited by Sergey Novikov et al Offers a collection of articles written in memory of Boris Dubrovin (1950-2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.
II. Quantum Theories and Algebraic Geometry
QUANTUM MECHANICS With Applications to SchrÖdinger Operators, Second Edition Gerald Teschl Graduate Studies in Mathematics, Vol. 157 Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators. 2014 9781470417048356pp Hardback £59.95 / €69.00
I. Integrable Systems
Pavel Mnev University Lecture Series, Vol. 72 Offers an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin-Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background.
Proceedings of Symposia in Pure Mathematics, Vol. 103.1 May 2021 9781470455910516pp Paperback £113.00 / €132.00
Proceedings of Symposia in Pure Mathematics, Vol. 103.2 Jun 2021 9781470455927480pp Paperback £113.00 / €132.00
24 MATHEMATICALANDQUANTIZATION,INTEGRABILITY,PHYSICSGEOMETRY
Provides ten seminars that cover the fundamental topics in school geometry, including all of the significant topics in high school geometry. The seminars are crafted to clarify and enhance understanding of the subject. Concepts in plane and solid geometry are carefully explained, and activities that teachers can use in their classrooms are emphasized.
2011 9780821853627202pp
MATHEMATICS FOR SOCIAL JUSTICE Focusing on Quantitative Reasoning and Statistics Edited by Gizem Karaali & Lily S. Khadjavi See page 6 for details of this title.
BESTSELLERS A DECADE OF THE BERKELEY MATH CIRCLE
A co-publication of the AMS and the Mathematical Sciences Research Institute
Feb 2022 9781470462932140pp
Paperback £41.50 / €48.00
A co-publication of the AMS and IAS/Park City Mathematics Institute MATH OUT LOUD An Oral Olympiad Handbook
Steven Klee, Kolya Malkin & Julia Pevtsova
The American Experience, Volume I Edited by Zvezdelina Stankova & Tom Rike
FRACTIONS: TO BE CONTINUED Bowen Kerins et al IAS/PCMI-The Teacher Program Series, Vol. 8 This is the eighth book in the Teacher Program Series. Each book includes a full course in a mathematical focus topic. The topic for this book is the study of continued fractions, including important results involving the Euclidean algorithm, the golden ratio, and approximations to rational and irrational numbers. The course includes 14 problem sets designed for low-threshold, high-ceiling access to the topic, building on one another as the concepts are explored.
A co-publication of the AMS and the Mathematical Sciences Research Institute
MATHEMATICS EDUCATION
Judith D. Sally & Paul J. Sally, Jr. MSRI Mathematical Circles Library, Vol. 3
Paperback £32.50 / €38.00
25MATHEMATICSGEOMETRYEDUCATIONAGuideforTeachers
Paperback £21.50 / €24.00
MSRI Mathematical Circles Library, Vol. 1 Presents possible paths to studying mathematics and falling in love with it, via teaching two important skills: thinking creatively while still obeying the rules, and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way. 2009 9780821846834326pp
See page 4 for details of this title.
A MOSCOW MATH CIRCLE
2011 9780821868737300pp Paperback £21.50 / €24.00
Hung-Hsi Wu
James Tanton MSRI Mathematical Circles Library, Vol. 23 Presents a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general maths enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking.
A co-publication of the AMS and the Mathematical Sciences Research Institute
26 MATHEMATICS EDUCATION
UNDERSTANDING NUMBERS IN ELEMENTARY SCHOOL MATHEMATICS
A textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers.
And Other MathematicalCuriousPonderings
Presents materials used during the course of one year in a math circle organised by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57. Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge.
Paperback £21.50 / €24.00
Alexander Zvonkin MSRI Mathematical Circles Library, Vol. 5 Provides a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. This is a narrative about what he did, what he tried, what worked, what failed, but most important, what the children experienced.
Sergey Dorichenko MSRI Mathematical Circles Library, Vol. 8
Week-by-week Problem Sets
2012 9780821868744240pp
A co-publication of the AMS and the Mathematical Sciences Research Institute
HOW ROUND IS A CUBE?
2019 9781470451158262pp Paperback £21.50 / €24.00
2011 9780821852606551pp Hardback £72.95 / €85.00
MATH FROM THREE TO TheSEVENStoryof a Mathematical Circle for Preschoolers
A co-publication of the AMS and the Mathematical Sciences Research Institute
1999 9780821808634154pp Paperback £31.50 / €36.00
MAA Press
THE ULTIMATE CHALLENGE
2017 9781470463717321pp Paperback £57.50 / €67.00
Keith Kendig Dolciani Mathematical Expositions, Vol. 57
A GATEWAY TO NUMBER THEORY
Henryk Iwaniec & Emmanuel Kowalski Colloquium Publications, Vol. 53 Distinguishes itself by the variety of tools it uses to establish results. This work aims to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, theorems and techniques.
THE GREAT PRIME NUMBER RACE Roger Plymen Student Mathematical Library, Vol. 92 Have you ever wondered about the explicit formulas in analytic number theory? This short book provides a streamlined and rigorous approach to the explicit formulas of Riemann and von Mangoldt. The race between the prime counting function and the logarithmic integral forms a motivating thread through the narrative.
NUMBER THEORY
BESTSELLERS
The Problem Edited by Jeffrey C. Lagarias Brings together a collection of articles written about the topic over the last forty years. The articles approach the material from different directions and using different flavours of mathematics, all the while trying to solve the problem.
NUMBER THEORY 1
AN ILLUSTRATED THEORY OF NUMBERS
Paperback £48.95 / €57.00
Applying the Power of Algebraic Curves
27NUMBER THEORY
2004 9781470467708615pp Paperback £89.95 / €105.00
Fermat's Dream Kazuya Kato, Nobushige Kurokawa & Takeshi Saito
2011 9780821849408344pp Hardback £54.95 / €64.00
Challenge: Can you find all the integers a,b,c satisfying 2a2+3b2=5c2? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! A major advance in number theory means this book can give an easy answer to this and countless similar questions. Jun 2021 9781470456221207pp Paperback £48.95 / €57.00
Martin H. Weissman Provides a introductioncomprehensivetonumbertheory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity.
ANALYTIC NUMBER THEORY
Translations of Mathematical Monographs, Vol. 186 Introduces 'Fermat's Dream', core theories in modern number theory. This book gives developments in elliptic curves, p-adic numbers, the ζ-function, and the number fields.
2020 9781470462574152pp
2018 9781470435172492pp
BESTSELLERS
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Provides a quick, but very readable introduction to stochastic differential equations – that is, to differential equations subject to additive "white noise" and related random disturbances. The exposition is strongly focused upon the interplay between probabilistic intuition and mathematical rigour.
A FIRST COURSE IN STOCHASTIC CALCULUS
2001 9780821828526167pp
MARKOV CHAINS AND MIXING TIMES
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TOPICS IN RANDOM MATRIX THEORY Terence Tao Graduate Studies in Mathematics, Vol. 132
AN INTRODUCTION TO EQUATIONSDIFFERENTIALSTOCHASTIC
Lawrence C. Evans
A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University
The book strikes a nice balance between mathematical formalism and intuitive arguments, a style that is most suited for applied mathematicians.
Seth Sullivant Graduate Studies in Mathematics, Vol. 194 The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics.
ALGEBRAIC STATISTICS
Weinan E., Tiejun Li & Eric Vanden-Eijnden AM Graduate Studies in Mathematics, Vol. 199
28 PROBABILITY & STATISTICS
2019 9781470449339305pp
David A. Levin & Yuval Peres Offers an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines.
Presents topics in probability theory covered during a first-year graduate course given at the Courant Institute of Mathematical Sciences, USA. The necessary background material in measure theory is developed, including all the standard topics.
2012 9780821874301282pp
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AM
Louis-Pierre Arguin
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. This graduate text focuses on one specific sector of the field, namely the spectral distribution of random Wigner matrix ensembles, as well as iid matrix ensembles. The text is largely self-contained and starts with a review of relevant aspects of probability theory and linear algebra. It includes over 200 exercises.
Presents the basic mathematical foundations of stochastic analysis (probability theory and stochastic processes) as well as some important practical tools and applications.
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PROBABILITY & STATISTICS
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PROBABILITY THEORY S.R.S Varadhan Courant Lecture Notes, Vol. 7
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APPLIED STOCHASTIC ANALYSIS
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HOPF ALGEBRAS, TENSOR CATEGORIES AND RELATED TOPICS
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MEXICAN MATHEMATICIANS IN THE WORLD Trends and Recent Contributions
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29CONTEMPORARY MATHEMATICS
CONTEMPORARY MATHEMATICS
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31MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
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LOCAL32
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33
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