Eurospan - (Mathematics) American Mathematical Society. Spring 2022

SPRING CATALOGUE2022

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Applied Mathematics

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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AMS eBooks

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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Applied mathematics titles are listed throughout this catalogue within their individual disciplines and are indicated with this icon.

AM

Jan 2022 9781470460112270pp

Burkard Polster & Marty Ross

Jan 2022 523pp , 2 volumes 9781470469184 Paperback £41.50 / €47.00

Paperback £32.50 / €38.00

A DINGO ATE MY MATH BOOK

Burkard Polster & Marty Ross

Mathematics from Down Under

Burkard Polster & Marty Ross

HIGHLIGHTS

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.

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 Selections from the Mathologer Files AM

Also Available:

Paperback £32.50 / €38.00

1

PUTTING TWO AND TWO TOGETHER and A DINGO ATE MY MATH BOOK

HIGHLIGHTS

Graduate Studies in Mathematics, Vol. 212

Marius Crainic, Rui Loja Fernandes & Ioan Mărcuţ

Paperback £69.95 / €82.00

Presents the fundamentals of the shock wave theory.

—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.“

2 ADIFFERENTIALHIGHLIGHTSHIGHLIGHTSEQUATIONSDynamicalSystemsApproach

and Practice

SHOCK WAVES

Marcelo Viana & José M. Espinar

Feb 2022 9781470465407549pp

to Theory

Graduate Studies in Mathematics, Vol. 217

Graduate Studies in Mathematics, Vol. 215

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.

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.

LECTURES ON POISSON GEOMETRY

Dec 2021 9781470466671479pp

AM AM

In collaboration with Guilherme T. Goedert & Heber Mesa

Tai-Ping Liu

Jan 2022 9781470466251437pp

Paperback £69.95 / €82.00

Paperback £69.95 / €82.00

An Integrated Approach

May 2022 9781470468606567pp

A FIRST COURSE IN STOCHASTIC CALCULUS

Joseph H. Silverman

Pure and Applied Undergraduate Texts, Vol.55

Second Edition

Michael E. Taylor

Pure and Applied Undergraduate Texts, Vol. 52

AMAM

Paperback £69.95 / €82.00

Paperback £41.50 / €47.00

Jan 2022 9781470467623388pp

ABSTRACT ALGEBRA

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.

Louis-Pierre Arguin

HIGHLIGHTS 3HIGHLIGHTS

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

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.

INTRODUCTION TO DIFFERENTIAL EQUATIONS

Paperback £73.95 / €86.00

Feb 2022 9781470464882270pp

Steven Klee, Kolya Malkin & Julia Pevtsova

Paperback £69.95 / €82.00

Jan 2022 9781470464424199pp

MSRI Mathematical Circles Library, Vol. 27

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.

Paperback £37.50 / €44.00

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.

DISCOVERING ABSTRACT ALGEBRA

AMS/MAA Textbooks, Vol. 67

MAA Press

Paperback £57.50 / €67.00

A co-publication of the AMS and the Mathematical Sciences Research Institute

Jan 2022 9781470465148339pp

PROOFS AND IDEAS

MATH OUT LOUD

AMS/MAA Textbooks, Vol. 68

4HIGHLIGHTS

A Prelude to Advanced Mathematics B. Sethuraman

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.

John K. Osoinach, Jr.

An Oral Olympiad Handbook

Feb 2022 9781470466930243pp

MAA Press

HIGHLIGHTS

Part 3: Combinatorics will be published soon.

MSRI Mathematical Circles Library, Vol. 26

A translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession.

MATHEMATICS VIA PROBLEMS

HIGHLIGHTS 5

Also Available:

Paperback £44.95 / €53.00

Feb 2022 9781470448790177pp

MATHEMATICS VIA PROBLEMS

Paperback £37.50 / €44.00

Part 1: Algebra

MSRI Mathematical Circles Library, Vol. 25 2021 9781470448783196pp

A co-publication of the AMS and the Mathematical Sciences Research Institute

Part 2: Geometry

Alexey A. Zaslavsky & Mikhail B. Skopenkov

Arkadiy Skopenkov

The main goal of this book is to develop important parts of mathematics through problems. 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.

A co-publication of the AMS and the Mathematical Sciences Research Institute

HIGHLIGHTS

Classroom Resource Materials, Vol. 60

Also Available:

Edited by Gizem Karaali & Lily S. Khadjavi

MATHEMATICS FOR SOCIAL JUSTICE Resources for the College Classroom and Focusing on Quantitative Reasoning and Statistics

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.

Paperback £49.95 / €58.00

MAA Press

Jan 2022 564pp, 2 volumes 9781470469177 Paperback £81.95 / €95.00

MAA Press

MATHEMATICS FOR SOCIAL JUSTICE Focusing on Quantitative Reasoning and Statistics

Jan 2022 9781470449278286pp

Classroom Resource Materials, Vol. 66

MAA Press

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

MATHEMATICS FOR SOCIAL JUSTICE Resources for the College Classroom

HIGHLIGHTS

Edited by Gizem Karaali & Lily S. Khadjavi

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.

Jan 2022 9781470467678331pp

COMPLEX ANALYSIS

Feb 2022 9781470466428426pp

Feb 2022 9781470455972562pp

An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition

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.

POWER SERIES RINGS

INTEGRAL DOMAINS INSIDE NOETHERIAN

PERVERSE SHEAVES AND APPLICATIONS TO REPRESENTATION THEORY

Constructions and Examples

HIGHLIGHTS 7

Paperback £49.95 / €58.00

William Heinzer, Christel Rotthaus & Sylvia Wiegand

Lars Ahlfors

AMS Chelsea Publishing, Vol. 385

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

Paperback £103.00 / €120.00

Mathematical Surveys and Monographs, Vol. 259

Mathematical Surveys and Monographs, Vol. 258

AMS Chelsea Publishing

Pramod N. Achar

Paperback £103.00 / €120.00

Feb 2022 9781470466718365pp

William Heinzer, Christel Rotthaus & Sylvia Wiegand

A CONCISE INTRODUCTION TO ALGEBRAIC VARIETIES

See page 4 for details of this title.

HOPF ALGEBRAS AND GALOIS MODULE THEORY

J. Scott Carter & Seiichi Kamada

GALOIS THEORY FOR BEGINNERS

8 ALGEBRA & ALGEBRAIC GEOMETRY

Paperback £69.95 / €82.00

An Integrated Approach

Brian Osserman

Oct 2021 9781470465001217pp

Feb 2022 9781470466657256pp

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.

Mathematical Surveys and Monographs, Vol. 264

Feb 2022 9781470467418406pp

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.

Joseph H. Silverman

See page 3 for details of this title.

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.

John K. Osoinach, Jr.

Paperback £48.95 / €57.00

DIAGRAMMATIC ALGEBRA

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.

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.

ESSENTIALS OF COMBINATORICSTROPICAL

DISCOVERING ABSTRACT ALGEBRA

Lindsay N. Childs et al

INSIDE ConstructionsPOWERNOETHERIANSERIESRINGSandExamples

Paperback £69.95 / €82.00

See page 7 for details of this title.

Paperback £103.00 / €120.00

Paperback £103.00 / €120.00

Jan 2022 9781470465162311pp

Graduate Studies in Mathematics, Vol. 216

A Historical Perspective, Second Edition Jorg Bewersdorff

ALGEBRA & ALGEBRAIC GEOMETRY

Student Mathematical Library, Vol. 95

ABSTRACT ALGEBRA

Michael Joswig Graduate Studies in Mathematics, Vol. 219

Mathematical Surveys and Monographs, Vol. 260

INTEGRAL DOMAINS

Hardback £69.50 / €81.00

1996 9780821803158212pp

1995 9780821802687390pp

Fan R.K. Chung

INTRODUCTION TO TROPICAL GEOMETRY

Paperback £73.95 / €86.00

MAA Press

Presents a lightly edited version of the unpublished manuscript

Paperback £103.00 / €120.00

Rick Miranda

Hardback £52.95 / €62.00

Graduate Studies in Mathematics, Vol. 5

CBMS Regional Conference Series in Mathematics, Vol. 92

BESTSELLERS

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.

2015 9780821851982363pp

AMS/MAA Textbooks, Vol. 66

Paolo Aluffi Graduate Studies in Mathematics, Vol. 104

Paperback £69.95 / €82.00

A co-publication of the AMS and CBMS

Robert Messer

Sep 2021 9781470462956434pp

Mathematical Surveys and Monographs, Vol. 262

2009 9781470465711713pp

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.

SPECTRAL GRAPH THEORY

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.

Diane Maclagan & Bernd Sturmfels

SecondGATEWAYALGEBRA:TOMATHEMATICSEdition

TATEMODULESCOHEN-MACAULAYMAXIMALANDCOHOMOLOGY

Paperback £31.50 / €36.00

Feb 2022 9781470453404175pp

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.

Ragnar-Olaf Buchweitz

ALGEBRA:CHAPTER0

LINEAR

ALGEBRAIC CURVES AND RIEMANN SURFACES

Graduate Studies in Mathematics, Vol. 161

9ALGEBRA & ALGEBRAIC GEOMETRY

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.

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.

Hardback £83.95 / €97.00

MAXIMAL FUNCTION METHODS FOR

Feb 2022 9781470465759354pp

Mathematical Surveys and Monographs, Vol. 261

Shiri ApostolosArtstein-Avidan,Giannopoulos & Vitali D. Milman

Paperback £33.95 / €40.00

David M. Clark & Xiao Xiao

David A. Cox, John B. Little & Henry K. Schenck

Paperback £37.50 / €44.00

Contains a collection of mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. 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.

THE GUIDEDLINENUMBERTHROUGHINQUIRY

Jiři Matoušek

Feb 2022 9781470463601686pp

SOBOLEV SPACES

2011 9780821848197841pp

Paperback £103.00 / €120.00

MAA Press

ANALYSIS ANALYSIS

ALGEBRA & ALGEBRAIC GEOMETRY •

Lars Ahlfors

See page 7 for details of this title.

THIRTY-THREEMINIATURESMathematicalandAlgorithmicApplicationsofLinearAlgebra

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.

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.

Paperback £103.00 / €120.00

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.

AMS/MAA Textbooks, Vol. 69

Juha Kinnunen, Juha Lehrbäck & Antti Vähäkangas

Feb 2022 9781470465049124pp

COMPLEX ANALYSIS

TORIC VARIETIES

Graduate Studies in Mathematics, Vol. 124

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.

2010 9780821849774182pp

Mathematical Surveys and Monographs, Vol. 257

Student Mathematical Library, Vol. 53

10

An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition

ASYMPTOTIC GEOMETRIC ANALYSIS, PART II

Benjamin B. Kennedy

Pure and Applied Undergraduate Texts, Vol. 5

RIDGE FUNCTIONS AND APPLICATIONS AM IN NEURAL NETWORKS

Feb 2022 9781470467654186pp

WELCOME TO REAL DistanceContinuityANALYSISandCalculus,andDynamics

SecondADVANCEDBESTSELLERSCALCULUSEdition

ANALYSISSecondEdition

Elliott H. Lieb & Michael Loss Graduate Studies in Mathematics, Vol. 14

Pure and Applied Undergraduate Texts, Vol. 4

AMS/MAA Textbooks, Vol. 10

MAA Press

Gerald B. Folland

Vugar E. Ismailov

Hardback £42.50 / €49.00

2009 9780821847909433pp

11ANALYSIS

Hardback £67.50 / €78.00

Hardback £76.95 / €89.00

2001 9780821827833348pp

AMS/MAA Textbooks, Vol. 70

Paperback £53.95 / €63.00

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.

FOURIER ANALYSIS AND APPLICATIONSITS

A RADICAL APPROACH TO REAL ANALYSIS

Mar 2022 9781470464547370pp

2009 9780821847916590pp

Second Edition

Patrick M. Fitzpatrick

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.

Paperback £103.00 / €120.00

David Bressoud

Mathematical Surveys and Monographs, Vol. 263

Paperback £57.50 / €67.00

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.

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.

Feb 2022 9781470469047339pp

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.

MAA Press

In this second edition of the MAA classic, exploration continues to be an essential component. 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.

Proceedings of Symposia in Applied Mathematics, Vol. 78

AN INTRODUCTION TO MEASURE THEORY

2019 9781470441913702pp

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

Terence Tao Graduate Studies in Mathematics, Vol. 126

Pure and Applied Undergraduate Texts, Vol. 29

ANALYSIS • APPLIED MATHEMATICS

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.

Paperback £49.95 / €58.00

Ioannis Karatzas & Constantinos Kardaras

PORTFOLIO THEORY AND ARBITRAGE A Course Mathematicalin Finance

2011 9781470466404206pp

Pure and Applied Undergraduate Texts, Vol. 33

Paperback £69.95 / €82.00

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.

APPLIED MATHEMATICS

Hardback £73.95 / €86.00

Jan 2022 9781470465988214pp

AnSPACESIntroduction to Real Analysis

Graduate Studies in Mathematics, Vol. 214

Edited by François Delarue

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.

12

Paperback £99.50 / €115.00

Brad G. Osgood

Hardback £94.95 / €111.00

Tom L. Lindstrom

MEAN FIELD GAMES

2017 9781470440626369pp

LECTURES ON THE FOURIER TRANSFORM AND AM ITS APPLICATIONS

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.

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.

Feb 2022 9781470455866284pp

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

John M. Erdman

Zbigniew H. Nitecki

Paperback £28.95 / €34.00

MAA Press

Spectrum, Vol. 96

AMS/MAA Textbooks, Vol. 64

CALCULUS IN 3D Geometry, Vectors, and Multivariate Calculus

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.

MAA Press

2018 9781470442460365pp

AMS/MAA Textbooks, Vol. 40

ACALCULUSBESTSELLERSCALCULUSDECONSTRUCTEDSecondCourseinFirst-YearCalculus

Zbigniew Nitecki

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.

Hardback £64.95 / €76.00

MAA Textbooks, Vol. 16

Dan Sloughter

David Perkins

CALCULUS FROM APPROXIMATION TO THEORY

Hardback £41.50 / €48.00

2020 9781470447991277pp

φ,π,e & i

Visualization in the First-Year Course

Pure and Applied Undergraduate Texts, Vol. 32

MAA Press

CAMEOS FOR CALCULUS

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.

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.

13CALCULUS

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.

2018 9781470443603405pp

Roger B. Nelsen

MAA Press

MAA Press

2015 9780883857885169pp

Paperback £41.50 / €48.00

Classroom Resource Materials, Vol. 49

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

Hardback £64.95 / €76.00

A PROBLEMS BASED COURSE IN ADVANCED CALCULUS

2009 9781470466756508pp

Paperback £81.95 / €95.00

Marcelo Viana & José M. Espinar

Graduate Studies in Mathematics, Vol. 213

TheoryEQUATIONSHAMILTON-JACOBIandApplications

Alexandre Boritchev & Sergei Kuksin

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.

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.

See page 2 for details of this title.

Oct 2021 9781470464363192pp

Paperback £103.00 / €120.00

BESTSELLERS

Hardback £81.95 / €95.00

Second Edition

ONE-DIMENSIONALTURBULENCEANDTHESTOCHASTICBURGERSEQUATION

Michael E. Taylor

14 DIFFERENTIAL EQUATIONS

See page 3 for details of this title.

andApproachADIFFERENTIALEQUATIONSEQUATIONSDynamicalSystemstoTheoryPractice

DIFFERENTIAL

Paperback £69.95 / €82.00

INTRODUCTION TO DIFFERENTIAL EQUATIONS

AN INTRODUCTION TO SYSTEMSDYNAMICALContinuousandDiscrete,SecondEdition

Hung Vinh Tran

Jan 2022 9781470465551322pp

Mathematical Surveys and Monographs, Vol. 255

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

Graduate Studies in Mathematics, Vol. 205

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.

INVITATION TO DIFFERENTIALPARTIAL EQUATIONS

Mikhail Shubin

PARABOLICQUASILINEARANDSYSTEMSSobolevSpaceTheory

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.

KEY DIFFERENTIALPARTIALBESTSELLER

Lawrence C. Evans

2010 9780821849743749pp

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.

Paperback £115.00 / €134.00

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

Hardback £81.95 / €95.00

2020 9780821836408319pp

Hardback £73.95 / €86.00

András Vasy

EQUATIONS Second Edition

David Hoff

2015 9781470469832280pp

Paperback £61.50 / €71.00

Graduate Studies in Mathematics, Vol. 140

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.

Gerald Teschl

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.

Edited by Maxim Braverman, Robert McOwen & Peter Topalov

ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS

Mathematical Surveys and Monographs, Vol. 251

LINEAR

Hardback £56.50 / €66.00

15DIFFERENTIALTheoryAnEQUATIONSPARTIALEQUATIONSDIFFERENTIALAccessibleRoutethroughandApplications

Feb 2021 9781470461614226pp

2012 9780821883280356pp

Graduate Studies in Mathematics, Vol. 19

Graduate Studies in Mathematics, Vol. 169

PROOFS AND IDEAS

16 DISCRETE MATHEMATICS & COMBINATORICS

David R. Mazur

2020 9781470460327304pp

GAME THEORY, ALIVE

MSRI Mathematical Circles Library, Vol. 16

BESTSELLERS

THE KNOT BOOK

Bruce E. Sagan

2004 9780821836781277pp

A FIRST COURSE IN ENUMERATIVE COMBINATORICS

AM V.I. Arnold

2015 9780821894163158pp

Paperback £24.50 / €28.00

A Prelude to Advanced Mathematics

COMBINATORICSAGuidedTour

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.

MATHEMATICSEXPERIMENTAL

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.

2020 9781470453008390pp

See page 4 for details of this title.

Paperback £69.95 / €82.00

THECOMBINATORICS:ARTOFCOUNTING

A co-publication of the AMS and the Mathematical Sciences Research Institute

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.

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.

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.

Paperback £31.50 / €36.00

DISCRETE MATHEMATICS & COMBINATORICS

2017 9781470419820372pp

Carl G. Wagner

Anna R. Karlin & Yuval Peres AM

An IntroductionElementaryto the Mathematical Theory of Knots

Paperback £73.95 / €86.00

B. Sethuraman

Hardback £62.50 / €72.00

MAA Press

Graduate Studies in Mathematics, Vol. 210

Pure and Applied Undergraduate Texts, Vol. 49

AMS/MAA Textbooks, Vol. 55

Hardback £56.50 / €66.00

Colin C. Adams

2020 9781470459956272pp

Tadao Kitazawa

Feb 2022 9781470466572286pp

Edited by A. Kechris 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.

June Barrow-Green, Jeremy Gray & Robin Wilson AMS/MAA Textbooks, Vol. 61

THE HISTORY OF MATHEMATICS

Hardback £73.95 / €86.00

Burkard Polster & Marty Ross

Part 2: Geometry

StoriesTESTIMONIOSofLatinx and Hispanic Mathematicians

May 2022 9781470443825724pp

THE HISTORY OF MATHEMATICS

Jan 2022 9781470467364184pp

17GENERAL INTEREST GENERAL

See page 5 for details of this title.

Brings together first-person narratives from the vibrant, diverse, and complex Latinx and Hispanic mathematical community.

Paperback £113.00 / €132.00

May 2022 1,212pp, 2 volumes 9781470464998 Hardback £132.00 / €154.00

MAA Press

Paperback£69.95 /€82.00

MAA Press

9781470467135Dec2021479pp

Alexey A. Zaslavsky & Mikhail B. Skopenkov

A Source-Based Approach, Volumes 1 & 2 AMS/MAA Textbooks

MATHEMATICS VIA PROBLEMS

Takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus.

A CONVERSATION ON PROFESSIONAL NORMS IN MATHEMATICS

INTERESTARITHMETICAL,GEOMETRICALANDCOMBINATORIALPUZZLESFROMJAPAN

2019 9781470443528496pp

THE HISTORY OF MATHEMATICS

NINE MATHEMATICAL CHALLENGES An Elucidation

Proceedings of Symposia in Pure Mathematics, Vol. 104 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.

Hardback £73.95 / €86.00

A Source-Based Approach, Volume 1

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.

MAA Press

MAA Press

June Barrow-Green, Jeremy Gray & Robin Wilson AMS/MAA Textbooks, Vol. 45

PUTTING TWO AND TWO TOGETHER Selections from the Mathologer Files

MAA Press

Feb 2022 9781470454906221pp

Edited by Mathilde Gerbelli-Gauthier et al

Paperback £28.95 / €34.00

AMS/MAA Spectrum, Vol.102

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.

Paperback £19.95 / €24.00

A Source-Based Approach, Volume 2

See page 1 for details of this title.

Classroom Resource Materials, Vol. 67

Edited by Pamela E. Harris et al

Acclaimed photographer

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

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.

Paperback £19.95 / €22.00

AMS PAGE A DAY CALENDAR

Richard Evan Schwartz

Evelyn Lamb

2014 9781470414252192pp

2009 199pp, 9781470448387photosPaperback £28.95 / €34.00

2015 436pp, 2 9781470422943volumesPaperback £35.00 / €40.00

2019 9781470449575372pp

Mariana Cook captures the exuberance and passion of these brilliant thinkers. The superb images are accompanied by autobiographical texts.

MAA Press

REALLY BIG NUMBERS and YOU CAN COUNT ON MONSTERS

PROOFS WITHOUT WORDS Exercises in Visual Thinking

BESTSELLERS

Classroom Resource Materials, Vol. 1

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 Terence Tao

18 GENERAL INTEREST

Paperback £44.95 / €53.00

Roger B. Nelsen

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.

STRUCTURE AND RANDOMNESS

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.

Mariana Cook

Paperback £33.95 / €40.00

Offers a remarkable collection of ninety-two photographic portraits, featuring a selection of the most mathematiciansimpressiveofour time.

REALLY BIG NUMBERS

YOU CAN COUNT ON MONSTERS

Paperback £19.95 / €23.00

InnerAnMATHEMATICIANSOuterViewoftheWorld

2020 9781470451868152pp

2009 9780821846957298pp

Hardback £103.00 / €120.00

THE GEOMETRY AND TOPOLOGY

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.

Collected Works, Vol. 27.1

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.

Hardback £103.00 / €120.00

Collected Works, Vol. 27.2

May 2022 9781470463915316pp

May 2022 9781470463908586pp

Edited by Benson Farb, David Gabai & Steven P. Kerckhoff

Edited by Benson Farb, David Gabai & Steven P. Kerckhoff

Contains Thurston's papers on dynamics and computer science, and papers written for general audiences.

Edited by Benson Farb, David Gabai & Steven P. Kerckhoff

WITH COMMENTARY, II

Collected Works, Vol. 27.3

THREE-MANIFOLDSOF

Hardback £41.50 / €48.00

May 2022 1,934pp, 4 volumes 9781470451646 Hardback £314.00 / €364.00

May 2022 9781470463892615pp

COLLECTED WORKS OF WILLIAM P. THURSTON

COLLECTED WORKS OF WILLIAM P. THURSTON

COLLECTED WORKS OF WILLIAM B. THURSTON

COLLECTED WORKS OF WILLIAM P. THURSTON WITH COMMENTARY, I

WITH COMMENTARY, THE SET

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.

Edited by Benson Farb, David Gabai & Steven P. Kerckhoff

Hardback £103.00 / €120.00

GEOMETRY & TOPOLOGY

GEOMETRY & TOPOLOGY

Contains Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.

19

With a Preface by Steven P. Kerckhoff

May 2022 9781470463885733pp

Collected Works, Vol. 27

COLLECTED WORKS OF WILLIAM P. THURSTON WITH COMMENTARY, III

William P. Thurston

Jan 2022 9781470466411193pp

Paperback £69.95 / €82.00

Marius Crainic, Rui Loja Fernandes & Ioan Mărcut

Sep 2021 9781470463076282pp

University Lecture Series, Vol. 77

See page 7 for details of this title.

Paperback £44.95 / €53.00

Hardback £92.95 / €108.00

20 GEOMETRY & TOPOLOGY

Feb 2022 9781470469580690pp

Imre Bárány

Euclidean Plane Geometry Based on Rigid Motions

Dec 2021 9781470461232476pp

THE ADAMS SPECTRAL SEQUENCE FOR TOPOLOGICAL MODULAR FORMS

SAMPLING IN COMBINATORIAL AND GEOMETRIC SET SYSTEMS

Riccardo Benedetti

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.

Paperback £103.00 / €120.00

Pramod N. Achar

Anneli Lax New Mathematical Library, Vol. 19

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.

Paperback £81.95 / €95.00

GEOMETRY REVISITED

Offers an expeditious yet rigorous route using axioms based on rigid motions and dilations.

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.

MAA Press

COMBINATORIAL CONVEXITY

See page 2 for details of this title.

PERVERSE SHEAVES AND APPLICATIONS TO REPRESENTATION THEORY

Feb 2022 9781470466749425pp

Nabil H. Mustafa

James R. King

Pure and Applied Undergraduate Texts, Vol. 51

LECTURES DIFFERENTIALON TOPOLOGY

Graduate Studies in Mathematics, Vol. 218

LECTURES ON POISSON GEOMETRY

QUANTUM FIELD THEORY AND INVARIANTSMANIFOLD

A co-publication of the AMS and IAS/Park City Mathematics Institute

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.

Feb 2022 9781470467098148pp

Apr 2022 9781470461560251pp

Mathematical Surveys and Monographs, Vol. 265

Paperback £26.50 / €30.00

H. S. M. Coxeter & S. L. Greitzer

Robert R. Bruner & John Rognes

Explores the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces, and finite points sets related to convexity.

Paperback £103.00 / €120.00

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.

Edited by Daniel S. Freed et al IAS/Park City Mathematics Series, Vol. 28

GEOMETRY TRANSFORMED

Mathematical Surveys and Monographs, Vol. 253

MAA Press

Graduate Studies in Mathematics, Vol. 208

TOPOLOGY THROUGH INQUIRY

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.

Mario Garcia-Fernandez & Jeffrey Streets

Michael Starbird & Francis Su

2019 9781470462611313pp

Jessica S. Purcell

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.

May 2021 9781470462581256pp

2020 9781470454999369pp

Graduate Studies in Mathematics, Vol. 209

Hardback £86.50 / €100.00

Vicente Munoz, Angel Gonzalez-Preito & Juan Angel Rojo

Paperback £44.95 / €53.00

GEOMETRY AND TOPOLOGY OF SurfacesMANIFOLDSandBeyond

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.

Paperback £48.95 / €57.00

AMS Chelsea Publishing, Vol. 364

Paperback £81.50 / €94.00

1978 9780821844380826pp

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.

AMS/MAA Textbooks, Vol. 58

FOUNDATIONS OF MECHANICS

University Lecture Series, Vol. 76

Iva Stavrov

21GEOMETRY & TOPOLOGY

Introduces geometryundergraduatesadvancedtoRiemannianandmathematical

AMS Chelsea Publishing

GENERALIZED RICCI FLOW

BESTSELLERS

Ralph Abraham & Jerrold E. Marsden

Student Mathematical Library, Vol. 93

Second Edition

2020 9781470456283243pp

CURVATURE OF SPACE AND TIME, WITH AN INTRODUCTION TO GEOMETRIC ANALYSIS

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.

Paperback £73.95 / €86.00

Paperback £48.95 / €57.00

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.

2020 9781470461324481pp

KNOTHYPERBOLICTHEORY

Student Mathematical Library, Vol. 89

Martin Hils & Francois Loeser

D. Hilbert & W. Ackermann

Graduate Studies in Mathematics, Vol. 8

A FIRST JOURNEY THROUGH LOGIC

Paul B. Larson & Jindrich Zapletal

AMS Chelsea Publishing

This text presents his treatment of symbolic logic. It lays the groundwork for his later work with Bernays.

22 LOGIC & FOUNDATIONS

DISCOVERING MODERN SET THEORY, I

Hardback £34.95 / €41.00

1950 9780821820247172pp

2016 9781470428990217pp

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.

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.

AMS Chelsea Publishing

1995 9780821802663210pp

BESTSELLERS

Winfried Just & Martin Weese

AMS Chelsea Publishing, Vol. 69

2019 9781470452728195pp

SET THEORY Felix Hausdorff

1957 9781470464943352pp

THE TOOLS REASONINGMATHEMATICALOF

The Basics

Tamara J. Lakins

2020 9781470454623340pp

David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics.

LOGIC & FOUNDATIONS

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 £115.00 / €134.00

Paperback £41.50 / €47.00

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.

AMS Chelsea Publishing, Vol. 119

Hardback £57.50 / €67.00

GEOMETRIC SET THEORY

Mathematical Surveys and Monographs, Vol. 248

PRINCIPLES MATHEMATICALOF LOGIC

Paperback £44.95 / €53.00

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.

Hardback £42.50 / €49.00

2019 9781470450274144pp

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.

COLLECTED PAPERS ON WAVE MECHANICS

Tai-Ping Liu

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.

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.

A co-publication of the AMS and CBMS

Paperback £44.95 / €53.00

23MATHEMATICAL PHYSICS

BESTSELLERS

Third Edition Erwin Schrödinger

Oct 2021 9781470465520192pp

ASYMPTOTICS OF RANDOM MATRICES AND RELATED MODELS

Alice Guionnet

1982 9780821835241208pp

Hardback £36.50 / €42.00

AMS Chelsea Publishing

LOCAL OPERATORS IN INTEGRABLE MODELS I

See page 2 for details of this title.

Michio Jimbo, Tetsuji Miwa & Fedor Smirnov

SHOCK WAVES

The Uses Dyson-Schwingerof Equations

AMS Chelsea Publishing, Vol. 302

CBMS Regional Conference Series in Mathematics, Vol. 130

MATHEMATICAL PHYSICS

Mathematical Surveys and Monographs, Vol. 256

Paperback £103.00 / €120.00

24 MATHEMATICAL

I. Integrable Systems

Proceedings of Symposia in Pure Mathematics, Vol. 103

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.

2019 9781470452711192pp Paperback £49.95 / €58.00

May 2021 9781470455910516pp

Pavel Mnev University Lecture Series, Vol. 72

The Set (Parts I and II)

2014 9781470417048356pp

AM QUANTUM MECHANICS

MATHEMATICAL UNDERSTANDING OF NATURE AM

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.

2014 9781470417017167pp

II. Quantum Theories and Algebraic Geometry

Essays on Amazing Physical Phenomena and their Understanding by Mathematicians V. I. Arnold

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.

METHODSMATHEMATICALIN

With Applications to SchrÖdinger Operators, Second Edition

Paperback £113.00 / €132.00

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.

Offers a collection of articles

ANDQUANTIZATION,INTEGRABILITY,PHYSICSGEOMETRY

Proceedings of Symposia in Pure Mathematics, Vol. 103.1

Proceedings of Symposia in Pure Mathematics, Vol. 103.2

9781470455903 Paperback £205.00 / €239.00

Graduate Studies in Mathematics, Vol. 157

Gerald Teschl

May 2021 983pp, 2 volumes

Hardback £59.95 / €69.00

Paperback £113.00 / €132.00

Paperback £26.50 / €30.00

Jun 2021 9781470455927480pp

QUANTUM FIELD ITSFORMALISMBATALIN-VILKOVISKYTHEORY:ANDAPPLICATIONS

Edited by Sergey Novikov et al

IAS/PCMI-The Teacher Program Series, Vol. 8

A co-publication of the AMS and the Mathematical Sciences Research Institute

MSRI Mathematical Circles Library, Vol. 1

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.

BESTSELLERS

MATHEMATICS FOR SOCIAL JUSTICE

The American Experience, Volume I

MATHEMATICS EDUCATION

Edited by Zvezdelina Stankova & Tom Rike

GEOMETRYEDUCATIONAGuideforTeachers

A co-publication of the AMS and IAS/Park City Mathematics Institute

Paperback £32.50 / €38.00

FRACTIONS: TO BE CONTINUED

See page 4 for details of this title.

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.

An Oral Olympiad Handbook

2011 9780821853627202pp

Paperback £21.50 / €24.00

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.

Edited by Gizem Karaali & Lily S. Khadjavi

2009 9780821846834326pp

Feb 2022 9781470462932140pp

MATH OUT LOUD

Paperback £41.50 / €48.00

See page 6 for details of this title.

Focusing on Quantitative Reasoning and Statistics

A DECADE OF THE BERKELEY MATH CIRCLE

Steven Klee, Kolya Malkin & Julia Pevtsova

25MATHEMATICS

Bowen Kerins et al

A co-publication of the AMS and the Mathematical Sciences Research Institute

Judith D. Sally & Paul J. Sally, Jr. MSRI Mathematical Circles Library, Vol. 3

A co-publication of the AMS and the Mathematical Sciences Research Institute

MSRI Mathematical Circles Library, Vol. 5

Sergey Dorichenko

26 MATHEMATICS EDUCATION

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

HOW ROUND IS A CUBE? And Other MathematicalCuriousPonderings

MSRI Mathematical Circles Library, Vol. 23

UNDERSTANDING NUMBERS IN ELEMENTARY SCHOOL MATHEMATICS

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.

2011 9780821868737300pp

A MOSCOW MATH CIRCLE Week-by-week Problem Sets

Alexander Zvonkin

MATH FROM THREE TO TheSEVENStoryof a Mathematical Circle for Preschoolers

MSRI Mathematical Circles Library, Vol. 8

Paperback £21.50 / €24.00

2019 9781470451158262pp

Paperback £21.50 / €24.00

2011 9780821852606551pp

A co-publication of the AMS and the Mathematical Sciences Research Institute

2012 9780821868744240pp

Hung-Hsi Wu

Hardback £72.95 / €85.00

James Tanton

A co-publication of the AMS and the Mathematical Sciences Research Institute

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.

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.

BESTSELLERS

Roger Plymen

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AN ILLUSTRATED THEORY OF NUMBERS

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NUMBER THEORY

27NUMBER THEORY

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.

A GATEWAY TO NUMBER THEORY

Dolciani Mathematical Expositions, Vol. 57

Henryk Iwaniec & Emmanuel Kowalski

Fermat's Dream

Applying the Power of Algebraic Curves

2020 9781470462574152pp

Translations of Mathematical Monographs, Vol. 186

THE ULTIMATE CHALLENGE The Problem

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.

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.

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2017 9781470463717321pp

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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.

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MAA Press

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Student Mathematical Library, Vol. 92

Edited by Jeffrey C. Lagarias

Martin H. Weissman

THE GREAT PRIME NUMBER RACE

Keith Kendig

Colloquium Publications, Vol. 53

NUMBER THEORY 1

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.

S.R.S Varadhan

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.

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AM

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BESTSELLERS

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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.

2018 9781470435172492pp

Graduate Studies in Mathematics, Vol. 194

Louis-Pierre Arguin

Seth Sullivant

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

APPLIED STOCHASTIC ANALYSIS

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.

See page 3 for details of this title.

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A FIRST COURSE IN STOCHASTIC CALCULUS

28 PROBABILITY & STATISTICS

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PROBABILITY THEORY

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Presents the basic mathematical foundations of stochastic analysis (probability theory and stochastic processes) as well as some important practical tools and applications. The book strikes a nice balance between mathematical formalism and intuitive arguments, a style that is most suited for applied mathematicians.

Second Edition

Graduate Studies in Mathematics, Vol. 199

Terence Tao Graduate Studies in Mathematics, Vol. 132

AN INTRODUCTION TO EQUATIONSDIFFERENTIALSTOCHASTIC

ALGEBRAIC STATISTICS

Lawrence C. Evans

Hardback £68.95 / €80.00

David A. Levin & Yuval Peres

2001 9780821828526167pp

Weinan E., Tiejun Li & Eric Vanden-Eijnden AM

2019 9781470449339305pp

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.

TOPICS IN RANDOM MATRIX THEORY

MARKOV CHAINS AND MIXING TIMES

Courant Lecture Notes, Vol. 7

PROBABILITY & STATISTICS

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Analysis

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Algebra & Algebraic Geometry

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Algebra & Algebraic Geometry

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COHOMOLOGICAL TENSOR FUNCTORS

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31MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

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RESOLVENT, HEAT KERNEL, AND TORSION UNDER DEGENERATION TO FIBERED CUSPS

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LOCAL32

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33

Memoirs of the American Mathematical Society, Vol. 275, No. 1349

ELLIPTIC THEORY FOR SETS WITH HIGHER CO-DIMENSIONAL BOUNDARIES

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Probability & Statistics

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