PUBLICATIONS OFeurospanfiles.com/files/catalogues/AMS_Spring_2017.pdf1 1IT1’IT1S IT’S ABOUT TIME Elementary Mathematical Aspects of Relativity Roger Cooke Apr 2017 410pp 9781470434830

PUBLICATIONS OFthe American Mathematical Society

Spring 2017

1 HIGHLIGHTS

8 ALGEBRA&ALGEBRAICGEOMETRY

9 ANALYSIS

11 APPLIEDMATHEMATICS

13 DIFFERENTIALEQUATIONS

14 DISCRETEMATHEMATICS &COMBINATORICS

16 GENERALINTEREST

17 GEOMETRY&TOPOLOGY

18 LOGIC&FOUNDATIONS

19 MATHEMATICALPHYSICS

20 MATHEMATICSEDUCATION

22 NUMBERTHEORY

23 PROBABILITY&STATISTICS

25 CONTEMPORARYMATHEMATICS SERIES

27 MEMOIRSOFTHEAMERICAN MATHEMATICALSOCIETY

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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TABLEOFCONTENTS

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1

HIGHLIGHTS

IT’S ABOUT TIME Elementary Mathematical Aspects of Relativity Roger Cooke Apr 2017 410pp9781470434830 Hardback £76.50 / €84.00

This book has three main goals. First, it explores a selection of topics from the early period of the theory of relativity, focusing on particular aspects that are interesting or unusual. These include the twin paradox; relativistic mechanics and its interaction with Maxwell’s laws; the earliest triumphs of general relativity relating to the orbit of Mercury and the deflection of light passing near the sun; and the surprising bizarre metric of Kurt Gödel, in which time travel is possible. Second, it provides an exposition of the differential geometry needed to understand these topics on a level that is intended to be accessible to those with just two years of university-level mathematics as background. Third, it reflects on the historical development of the subject and its significance for our understanding of what reality is and how we can know about the physical universe. The book also takes note of historical prefigurations of relativity, such as Euler’s 1744 result that a particle moving on a surface and subject to no tangential acceleration will move along a geodesic, and the work of Lorentz and Poincaré on space-time coordinate transformations between two observers in motion at constant relative velocity.

The book is aimed at advanced undergraduate mathematics, science, and engineering majors (and, of course, at any interested person who knows a little university-level mathematics). The reader is assumed to know the rudiments of advanced calculus, a few techniques for solving differential equations, some linear algebra, and basics of set theory and groups.

PUSHING LIMITS From West Point to Berkeley & Beyond Ted HillApr 2017 334pp9781470435844 Hardback £45.95 / €51.00

Pushing Limits: From West Point to Berkeley & Beyond challenges the myth that mathematicians lead dull and ascetic lives. It recounts the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School and the Vietnam War, and survived many civilian escapades - hitchhiking in third-world hotspots, fending off sharks in Bahamian reefs, and camping deep behind the forbidding Iron Curtain. From ultra-conservative West Point in the ’60s to ultra-radical Berkeley in the ’70s, and ultimately to genteel Georgia Tech in the ’80s, this is the tale of an academic career as noteworthy for its offbeat adventures as for its teaching and research accomplishments. It brings to life the struggles and risks underlying mathematical research, the unparalleled thrill of making scientific breakthroughs, and the joy of sharing those discoveries around the world. Hill’s book is packed with energy, humour, and suspense, both physical and intellectual. Anyone who is curious about how a maverick mathematician thinks, who wants to relive the zanier side of the ’60s and ’70s, who wants an armchair journey into the third world, or who seeks an unconventional viewpoint about some of our more revered institutions, will be drawn to this book.

…captivating memoir reveals an intriguing character who is part Renaissance Man, part Huckleberry Finn. Fast-paced and often hilarious … provides some penetrating and impious insights into some of our more revered institutions.—Rick Atkinson, three-time Pulitzer Prize winner, author of The Long Gray Line

Thoughtful, funny, evocative, Ted Hill takes us through a life well-lived … an intensely personal story that will appeal to every profession - and to every generation! —General Wesley Clark, former NATO Supreme Commander

A co-publication of the AMS and Mathematical Association of America

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GAME THEORY, ALIVE Anna R. Karlin & Yuval Peres

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May 2017 396pp9781470419820 Hardback £76.50 / €84.00

We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities.

This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments.

The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, engineering, or statistics. The importance of game-theoretic thinking transcends the academic setting - for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

Game theory’s influence is felt in a wide range of disciplines, and the authors deliver masterfully on the challenge of presenting both the breadth and coherence of its underlying world-view. The book achieves a remarkable synthesis, introducing the reader to the blend of economic insight, mathematical elegance, scientific impact, and counter-intuitive punch that characterizes game theory as a field. —Jon Kleinberg, Cornell University, 2006 Nevanlinna Prize winner

A game theory textbook by people who love … games! It covers many classic as well as recent topics of game theory. Its rigorous treatment, interspersed with illuminating examples, makes it a challenging pleasure to read. —Sergiu Hart, The Hebrew University of Jerusalem

GAME THEORYA Playful Introduction Matt DeVos & Deborah KentJan 2017 360pp9781470422103 Paperback £49.95 / €55.00

Student Mathematical Library, Vol. 80

Offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning.

The first four chapters develop combinatorial game theory, beginning with an introduction to game trees and mathematical induction, then investigating the games of Nim and Hackenbush. The analysis of these games concludes with the cornerstones of the Sprague-Grundy Theorem and the Simplicity Principle.

The last eight chapters of the book offer a scenic journey through the mathematical highlights of classical game theory. This contains a thorough treatment of zero-sum games and the von Neumann Minimax Theorem, as well as a student-friendly development and proof of the Nash Equilibrium Theorem. The Folk Theorem, Arrow's voting paradox, evolutionary biology, cake-cutting, and other engaging auxiliary topics also appear.

The book is designed as a textbook for an undergraduate mathematics class. With ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.

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LARGE DEVIATIONSS.R.S. VaradhanDec 2016 104pp9780821840863 Paperback £36.95 / €41.00

Courant Lecture Notes, Vol. 27

The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed.

The book will give the reader a flavour of how large deviation theory can help in problems that are not posed directly in terms of large deviations.

ORDERED GROUPS AND TOPOLOGYAdam Clay & Dale RolfsenDec 2016 154pp9781470431068 Hardback £80.50 / €89.00

Graduate Studies in Mathematics, Vol. 176

Deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book.

The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems.

CARTAN FOR BEGINNERSDifferential Geometry via Moving Frames and Exterior Differential Systems, Second EditionThomas A. Ivey & Joseph M. LandsbergJan 2017 455pp9781470409869 Hardback £90.50 / €100.00


Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs.

Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence.

The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.

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DIFFERENTIAL GALOIS THEORY THROUGH RIEMANN-HILBERT CORRESPONDENCE An Elementary IntroductionJacques SauloyJan 2017 279pp9781470430955 Hardback £90.50 / €100.00


Differential Galois theory is an important, fast developing area which appears more and more in graduate courses since it mixes fundamental objects from many different areas of mathematics in a stimulating context. For a long time, the dominant approach, usually called Picard-Vessiot Theory, was purely algebraic. This approach has been extensively developed and is well covered in the literature. An alternative approach consists in tagging algebraic objects with transcendental information which enriches the understanding and brings not only new points of view but also new solutions. It is very powerful and can be applied in situations where the Picard-Vessiot approach is not easily extended. This book offers a hands-on transcendental approach to differential Galois theory, based on the Riemann-Hilbert correspondence. Along the way, it provides a smooth, down-to-earth introduction to algebraic geometry, category theory and tannakian duality.

Since the book studies only complex analytic linear differential equations, the main prerequisites are complex function theory, linear algebra, and an elementary knowledge of groups and of polynomials in many variables. A large variety of examples, exercises, and theoretical constructions, often via explicit computations, offers first-year graduate students an accessible entry into this exciting area.

QUIVER REPRESENTATIONS AND QUIVER VARIETIESAlexander Kirillov, Jr.Nov 2016 295pp9781470423070 Hardback £90.50 / €100.00

Graduates Studies in Mathematics, Vol. 174

An introduction to the theory of quiver representations and quiver varieties, starting with basic definitions and ending with Nakajima's work on quiver varieties and the geometric realization of Kac–Moody Lie algebras.

The first part of the book is devoted to the classical theory of quivers of finite type. Here the exposition is mostly self-contained and all important proofs are presented in detail. The second part contains the more recent topics of quiver theory that are related to quivers of infinite type: Coxeter functor, tame and wild quivers, McKay correspondence, and representations of Euclidean quivers. In the third part, topics related to geometric aspects of quiver theory are discussed, such as quiver varieties, Hilbert schemes, and the geometric realization of Kac–Moody algebras. Here some of the more technical proofs are omitted; instead only the statements and some ideas of the proofs are given, and the reader is referred to original papers for details. The exposition in the book requires only a basic knowledge of algebraic geometry, differential geometry, and the theory of Lie groups and Lie algebras. Some sections use the language of derived categories; however, the use of this language is reduced to a minimum. The many examples make the book accessible to graduate students who want to learn about quivers, their representations, and their relations to algebraic geometry and Lie algebras.

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ALGEBRA IN ACTION A Course in Groups, Rings, and Fields Shahriar Shahriari Apr 2017 655pp9781470428495 Hardback £120.00 / €130.00

Pure and Applied Undergraduate Texts, Vol. 27

Based on the author’s popular courses at Pomona College, this text provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.

THE TOOLS OF MATHEMATICAL REASONINGTamara J. Lakins Oct 2016 217pp9781470428990 Hardback £70.50 / €77.00


This accessible textbook gives 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. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.

MATHEMATICAL ANALYSIS AND ITS INHERENT NATUREHossein Hosseini Giv Oct 2016 351pp9781470428075 Hardback £90.50 / €100.00


Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better. With this in mind, and focusing on the essence of analysis, the text is divided into two parts based on the way they are related to calculus: completion and abstraction. The first part describes those aspects of analysis which complete a corresponding area of calculus theoretically, while the second part concentrates on the way analysis generalizes some aspects of calculus to a more general framework. Presenting the contents in this way has an important advantage: students first learn the most important aspects of analysis on the classical space R and then fill in the gaps of their calculus-based knowledge. Then they proceed to a step-by-step development of an abstract theory, namely, the theory of metric spaces which explores such crucial notions as limit, continuity, and convergence in a wider context. The readers are assumed to have passed courses in one- and several-variable calculus and an elementary course on the foundations of mathematics. A large variety of exercises and the inclusion of informal interpretations of many results and examples will greatly facilitate the reader's study of the subject.

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LECTURES ON CHEVALLEY GROUPS Robert Steinberg Feb 2017 157pp9781470431051 Paperback £35.95 / €40.00

University Lecture Series, Vol. 66

Robert Steinberg’s Lectures on Chevalley Groups were delivered and written during the author’s sabbatical visit to Yale University in the 1967–1968 academic year. The work presents the status of the theory of Chevalley groups as it was in the mid-1960s. Much of this material was instrumental in many areas of mathematics, in particular in the theory of algebraic groups and in the subsequent classification of finite groups. This posthumous edition incorporates additions and corrections prepared by the author during his retirement, including a new introductory chapter. A bibliography and editorial notes have also been added.

This is a great unsurpassed introduction to the subject of Chevalley groups that influenced generations of mathematicians. I would recommend it to anybody whose interests include group theory. —Efin Zelmanov, University of California, Los Angeles

Robert Steinberg’s lectures on Chevalley groups were given at Yale University in 1967. The notes for the lectures contain a wonderful exposition of the work of Chevalley, as well as important additions to that work due to Steinberg himself. The theory of Chevalley groups is of central importance not only for group theory, but also for number theory and theoretical physics, and is as relevant today as it was in 1967. The publication of these lecture notes in book form is a very welcome addition to the literature. —George Lusztig, Massachusetts Institute of Technology

ALGEBRAIC INEQUALITIES: NEW VISTASTitu Andreescu & Mark SaulDec 2016 126pp9781470434649 Paperback £41.95 / €46.00

MSRI Mathematical Circles Library, Vol. 19

This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not "linear''. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities.

There are also "secret'' pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

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

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MOVING THINGS AROUNDBowen Kerins et alNov 2016 152pp9781470429263 Paperback £29.50 / €33.00

IAS/PCMI-The Teacher Program Series, Vol. 5

A carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The goal of Moving Things Around is to help participants make what might seem to be surprising connections among seemingly different areas: permutation groups, number theory, and expansions for rational numbers in various bases, all starting from the analysis of card shuffles. Another goal is to use these connections to bring some coherence to several ideas that run throughout school mathematics-rational number arithmetic, different representations for rational numbers, geometric transformations, and combinatorics. The theme of seeking structural similarities is developed slowly, leading, near the end of the course, to an informal treatment of isomorphism.A co-publication of the AMS and IAS/Park City Mathematics Institute

SOME APPLICATIONS OF GEOMETRIC THINKINGBowen Kerins et alNov 2016 222pp9781470429256 Paperback £29.50 / €33.00


A carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The goal of Some Applications of Geometric Thinking is to help teachers see that geometric ideas can be used throughout the secondary school curriculum, both as a hub that connects ideas from all parts of secondary school and beyond-algebra, number theory, arithmetic, and data analysis-and as a locus for applications of results and methods from these fields.A co-publication of the AMS and IAS/Park City Mathematics Institute

COLLECTED WORKS OF JOHN TATEEdited by Barry Mazur & Jean-Pierre SerrePart I (1951-1975)Jan 2017 678pp9780821890929 Hardback £155.00 / €170.00

Collected Works, Vol. 24.1

Part II (1976-2006)Jan 2017 736pp9780821890936 Hardback £155.00 / €170.00

Collected Works, Vol. 24.2

Parts I and IIJan 2017 1414pp9780821890912 Hardback £270.00 / €300.00

Collected Works, Vol. 24

In these volumes, a reader will find all of John Tate's published mathematical papers - spanning more than six decades - enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.

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ON GROUPS OF PL-HOMEOMORPHISMS OF THE REAL LINERobert Bieri & Ralph StrebelDec 2016 174pp9781470429010 Hardback £115.00 / €125.00

Mathematical Surveys and Monographs, Vol. 215

Richard Thompson's famous group F has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving homeomorphisms of the unit interval, but it can also be given by a simple 2-generator-2-relator presentation. This monograph studies a natural generalization of F that also includes Melanie Stein's generalized F-groups.

QUIVER REPRESENTATIONS AND QUIVER VARIETIESAlexander Kirillov

See page 4 for details of this title

BESTSELLERS

ADVANCED MODERN ALGEBRAThird Edition, Part I Joseph J. Rotman2015 709pp9781470415549 Hardback £90.50 / €105.00


This new edition has been significantly reorganised and many sections have been rewritten. This first part consists of two courses: Galois theory and Module theory.

ALGEBRAIC CURVES AND RIEMANN SURFACES Rick Miranda1995 390pp9780821802687 Hardback £61.50 / €70.00


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.

ALGEBRAIC SPACES AND STACKSMartin Olsson2016 299pp9781470427986 Hardback £105.00 / €115.00

Colloquium Publications, Vol. 62

Provides an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course.

ALGEBRA IN ACTION A Course in Groups, Rings, and Fields Shahriar Shahriari


COLLECTED WORKS OF JOHN TATEEdited by Barry Mazur& Jean-Pierre Serre


DEVELOPMENT OF MODULI THEORY - KYOTO 2013

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Edited by Osamu Fujino et alNov 2016 537pp9784864970327 Hardback £175.00 / €195.00

Advanced Studies in Pure Mathematics, Vol. 69

Contains the proceedings of the 6th Mathematical Society of Japan Seasonal Institute Development of Moduli Theory, which was held as the Seasonal Institute 2013, with support from the A publication of the Mathematical Society of Japan and the 2013 Research Project of the Research Institute of Mathematical Science, Kyoto University. This volume consists of five survey articles and eight research articles.A publication of the Mathematical Society of Japan

LECTURES ON CHEVALLEY GROUPS Robert Steinberg


MINIMAL MODELS AND EXTREMAL RAYS (KYOTO, 2011) Edited by János Kollár et al 2016 420pp9784864970365 Hardback £155.00 / €170.00


Since the appearance of extremal rays and the minimal model program in the early 1980s, we have seen the tremendous development of algebraic geometry. With this in mind, the conference on Minimal Models and Extremal Ray was held at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University in June 2011. The purpose of the conference was to review the past, examine the present, and enjoy discussing the future.

This volume contains the proceedings of this conference and consists of one survey article on the mathematical work of Shigefumi Mori, who turned sixty in 2011, and thirteen research papers presented by the authors.A publication of the Mathematical Society of Japan

ALGEBRA & ALGEBRAIC GEOMETRY

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ANALYSIS

FINITE FRAME THEORYA Complete Introduction to

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OvercompletenessEdited by Kasso A. Okoudjou2016 252pp9781470420192 Hardback £105.00 / €115.00

Proceedings of Symposia in Applied Mathematics, Vol. 73

Mostly written in a tutorial style, the seven chapters in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications.

FUNCTIONS WITH DISCONNECTED SPECTRUM

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Sampling, Interpolation, TranslatesAlexander M. Olevskii & Alexander Ulanovskii2016 143pp9781470428891 Paperback £44.95 / €50.00


The classical sampling problem is to reconstruct entire functions with given spectrum S from their values on a discrete set L. From the geometric point of view, the possibility of such reconstruction is equivalent to determining for which sets L the exponential system with frequencies in L forms a frame in the space L2(S). The book also treats the problem of interpolation of discrete functions by analytic ones with spectrum in S.

MATHEMATICAL ANALYSIS AND ITS INHERENT NATURE Hossein Hosseini Giv


SCHOOL ON REAL AND COMPLEX SINGULARITIES IN SÃO CARLOS, 2012Edited by Raimundo Nonato et alOct 2016 373pp9784864970303 Hardback £130.00 / €145.00


Topics treated in this volume cover a wide range, including topology and geometry of real singularities, singularities of holomorphic map-germs, singularities of complex algebraic sets, algorithms of the computer algebra "SINGULAR", singularities of maps and characteristic classes, and limit cycles of systems of ordinary differential equations.A publication of the Mathematical Society of Japan

COLORED OPERADSDonald Yau 2016 428pp9781470427238 Hardback £90.50 / €105.00


Explores the theory of operads and colored operads, sometimes called symmetric multicategories. A (colored) operad is an abstract object which encodes operations with multiple inputs and one output and relations between such operations.

GALOIS THEORIES OF LINEAR DIFFERENCE EQUATIONS: AN INTRODUCTIONCharlotte Hardouin, Jacques Sauloy & Michael F. Singer2016 171pp9781470426552 Hardback £115.00 / €130.00


Presents three introductory tutorials coming out of three courses given at the CIMPA Research School "Galois Theory of Difference Equations" in 2012. The aim of these tutorials is to introduce the reader to three Galois theories of linear difference equations and their interrelations.

LIE ALGEBRAS, LIE SUPERALGEBRAS, VERTEX ALGEBRAS AND RELATED TOPICSEdited by Kailash C. Misra, Daniel K. Nakano & Brian J. Parshall2016 355pp9781470418441 Hardback £125.00 / €140.00

Proceedings of Symposia in Pure Mathematics, Vol. 92

Contains the proceedings of the 2012-2014 Southeastern Lie Theory Workshop Series held between 2012 and 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

MATRIX GROUPS FOR UNDERGRADUATES Second EditionKristopher Tapp2016 239pp9781470427221 Paperback £49.95 / €57.00


Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and example-driven, with geometric motivation and rigorous proofs.

1010 ANALYSIS

FOURIER ANALYSIS AND ITS APPLICATIONS Gerald B. Folland2009 433pp9780821847909 Hardback £77.50 / €89.00


Presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates.

AN INTRODUCTION TO CLASSICAL REAL ANALYSIS Karl R. Stromberg2016 575pp9781470425449 Hardback £50.95 / €58.00

AMS Chelsea Publishing, Vol. 376

This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has avoided any presumption that the reader has knowledge of mathematical concepts until they are presented in the book.

AN INTRODUCTION TO MEASURE THEORY Terence Tao2011 206pp9780821869192 Hardback £56.95 / €65.00


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.

MATHEMATICS++ Selected Topics Beyond the

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Basic CoursesIda Kantor, Jiri Matousek & Robert Samal2015 353pp9781470422615 Paperback £49.95 / €57.00


Offers a concise introduction to six areas of 20th century mathematics - measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology - providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields.

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ADVANCED CALCULUSSecond Edition Patrick M. Fitzpatrick2009 590pp9780821847916 Hardback £88.50 / €105.00


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.

ANALYSISElliott H. Lieb & Michael Loss 2001 348pp9780821827833 Hardback £48.95 / €56.00


Presents the concepts and tools to solve problems of analysis, and shows how to apply these concepts to research in a variety of areas.

A COMPREHENSIVE COURSE IN ANALYSIS, FIVE-VOLUME SET Barry Simon2016

Part 1: Real Analysis789pp 9781470410995 Hardback £85.00 / €105.00

Part 2A: Basic Complex Analysis641pp 9781470411008 Hardback £85.00 / €105.00

Part 2B: Advanced Complex Analysis321pp 9781470411015 Hardback £85.00 / €105.00

Part 3: Harmonic Analysis759pp 9781470411022 Hardback £85.00 / €105.00

Part 4: Operator Theory749pp 9781470411039 Hardback £85.00 / €105.00

Five Volume Set3259pp 9781470410988 Hardback £315.00 / €390.00

Written by Poincaré Prize winner Barry Simon, this is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background.

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APPLIED MATHEMATICS

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LECTURES AND PROBLEMSA Gift to Young MathematiciansV. I. ArnoldTranslated by Dmitry Fuchs & Mark Saul2015 176pp9781470422592 Paperback £29.50 / €34.00


Vladimir Arnold (1937-2010) was one of the great mathematical minds of the late 20th century. He did significant work in many areas of the field. On another level, he was keeping with a strong tradition in Russian mathematics to write for and to directly teach younger students interested in mathematics. This book contains some examples of Arnold's contributions to the genre.A co-publication of the AMS and the Mathematical Sciences Research Institute

MATHEMATICAL MODELS IN DEVELOPMENTAL BIOLOGYJerome K. Percus & Stephen Childress2015 249pp9781470410803 Paperback £44.95 / €52.00


Introduces an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research.A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

THE MATHEMATICS OF ENCRYPTIONAn Elementary Introduction Margaret Cozzens & Steven J. Miller2013 348pp9780821883211 Paperback £49.95 / €57.00

Mathematical World, Vol. 29

Provides a historical and mathematical tour of cryptography, from classical ciphers to quantum cryptography. The authors introduce just enough mathematics to explore modern encryption methods, with nothing more than basic algebra and some elementary number theory being necessary. Complete expositions are given of the classical ciphers and the attacks on them, along with a detailed description of the famous Enigma system.

PROBLEMS IN REAL AND FUNCTIONAL ANALYSIS Alberto Torchinsky2016 467pp9781470420574 Hardback £80.50 / €92.00


The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical.

A USER-FRIENDLY INTRODUCTION TO LEBESGUE MEASURE AND INTEGRATIONGail S. Nelson2015 221pp9781470421991 Paperback £49.95 / €57.00


Provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well.

WINDING AROUNDThe Winding Number in Topology, Geometry, and AnalysisJohn Roe2015 269pp9781470421984 Paperback £49.95 / €57.00


Explores how the winding number can help us show that every polynomial equation has a root, guarantee a fair division of three objects in space by a single planar cut, explain why every simple closed curve has an inside and an outside, relate calculus to curvature and the singularities of vector fields, and allow one to subtract infinity from infinity and get a finite answer.

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QUANTUM FIELDS AND STRINGS, VOLUME 1A Course for MathematiciansEdited by Pierre Deligne et al2000 723pp9780821820124 Paperback £36.95 / €42.00

Ideas from quantum field theory and string theory have had considerable impact on mathematics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. These volumes are a written record of the program.

QUANTUM FIELD THEORYA Tourist Guide for MathematiciansGerald B. Folland2008 325pp9780821847053 Hardback £98.95 / €115.00


Presents the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures.

QUANTUM MECHANICS FOR MATHEMATICIANS Leon A. Takhtajan2008 387pp9780821846308 Hardback £76.50 / €87.00


Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrödinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

SAGE FOR UNDERGRADUATESGregory V. Bard 2015 362pp9781470411114 Paperback £29.50 / €34.00

An introduction to Sage for undergraduate students toward the end of Calculus II or higher-level course work. The audience of the book is not only math majors, but also physics, engineering, finance, statistics, chemistry, and computer science majors.

MIRROR SYMMETRY AND ALGEBRAIC GEOMETRYDavid A. Cox & Sheldon Katz 1999 469pp9780821821275 Paperback £61.50 / €70.00


Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. This book presents a comprehensive monograph on mirror symmetry, covering the original observations by the physicists.

NUMERICAL ANALYSISMathematics of Scientific Computing, Third EditionDavid Kincaid & Ward Cheney2009 788pp9780821847886 Hardback £95.50 / €110.00


Introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. This title treats the subject of numerical analysis from a mathematical point of view, offering an analysis of methods for scientific computing with appropriate motivations and proofs.

ORIGAMI6

Edited by Koryo Miura et al

I. Mathematics2016 368pp9781470418755 Paperback £80.50 / €92.00

II. Technology, Art, Education2016 368pp9781470418762 Paperback £80.50 / €92.00

Two-Volume Set2016 736pp9781470418748 Paperback £135.00 / €155.00

This unique collection of papers illustrates the connections between origami and a wide range of fields. The papers compiled in this two-part set display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design.

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APPLIED MATHEMATICS

Special Note to AMS MembersAMS members qualify for a discount on the price of AMS publications. Please provide your membership number when making your purchase.

13

HIGHLIGHTS

A FIRST COURSE IN THE CALCULUS OF VARIATIONS

AM

Mark Kot2014 298pp9781470414955 Paperback £50.95 / €58.00


This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals.

AN INTRODUCTION TO DYNAMICAL SYSTEMS Continuous and Discrete, Second EditionR. Clark Robinson2016 733pp9780821891353 Hardback £94.50 / €110.00


Provides a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems.

NONLINEAR ELLIPTIC EQUATIONS OF THE SECOND ORDERQing Han2016 368pp9781470426071 Hardback £90.50 / €105.00


Provides a detailed discussion of the Dirichlet problems for quasilinear and fully nonlinear elliptic differential equations of the second order with an emphasis on mean curvature equations and on Monge-Ampere equations.

ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS Gerald Teschl2012 356pp9780821883280 Hardback £65.50 / €75.00


Provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students.

DIFFERENTIABLE DYNAMICAL SYSTEMSAn Introduction to Structural Stability and Hyperbolicity Lan Wen2016 199pp9781470427993 Hardback £80.50 / €89.00


This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analysing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets.

DIFFERENTIAL GALOIS THEORY THROUGH RIEMANN-HILBERT CORRESPONDENCEAn Elementary IntroductionJacques Sauloy


SHOCK FORMATION IN SMALL-DATA SOLUTIONS TO 3D QUASILINEAR WAVE EQUATIONSJared SpeckDec 2016 518pp9781470428570 Hardback £115.00 / €125.00


Serge Alinhac's groundbreaking work on wave equations in the late 1990s was the first to treat more than one spatial dimension. In 2007, for the compressible Euler equations in vorticity-free regions, Demetrios Christodoulou remarkably sharpened Alinhac's results. In this monograph, Christodoulou's framework is extended to two classes of wave equations in three spatial dimensions.

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CLASSICAL MECHANICS WITH CALCULUS OF VARIATIONS AND

AM OPTIMAL CONTROLAn Intuitive IntroductionMark Levi2014 316pp9780821891384 Paperback £42.95 / €49.00


An intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations.

DIFFERENTIAL EQUATIONS

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THE MATHEMATICAL LEGACY OF RICHARD P. STANLEYEdited by Patricia Hersh et alJan 2017 352pp9781470427245 Hardback £59.95 / €66.00

Richard Stanley's work in combinatorics revolutionized and reshaped the subject, inspiring a generation of researchers. In this volume, these researchers explain how Stanley's vision and insights influenced and guided their own perspectives on the subject. As a bonus, the book contains a collection of Stanley's short comments on each of his papers.

SELECTED WORKS OF RICHARD P. STANLEYEdited by Patricia Hersh et alMay 2017 783pp9781470416829 Hardback £165.00 / €180.00

Collected Works, Vol. 25

In addition to collecting several of Stanley's most influential papers, this volume also includes his own short reminiscences on his early years, and on his celebrated proof of The Upper Bound Theorem.

PARTIAL DIFFERENTIAL EQUATIONSAn Accessible Route through Theory and ApplicationsAndrás Vasy2016 280pp9781470418816 Hardback £70.50 / €81.00


This text on partial differential equations is 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.

GAME THEORYA Playful Introduction

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Matt DeVos & Deborah Kent


GAME THEORY, ALIVE Anna R. Karlin & Yuval Peres


KEY BESTSELLER PARTIAL DIFFERENTIAL EQUATIONSSecond EditionLawrence C. Evans2010 749pp9780821849743 Hardback £94.50 / €110.00


The definitive text on partial differential equations (PDE). It

offers a comprehensive survey of modern techniques in the theoretical study of PDE 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 incoporates numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography.

WEAK CONVERGENCE METHODS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONSLawrence C. Evans1990 82pp9780821807248 Paperback £20.50 / €24.00

CBMS Regional Conference Series in Mathematics, Vol. 74

The purpose of this book is to explain systematically and clearly many of the most important techniques set forth in recent years for using weak convergence methods to study nonlinear partial differential equations.

DISCRETE MATHEMATICS & COMBINATORICS

POLYNOMIAL METHODS IN COMBINATORICSLarry Guth2016 273pp9781470428907 Paperback £48.95 / €54.00


Explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields. The author also discusses in detail various problems in incidence geometry associated to Paul Erdös's distinct distances problem in the plane from the 1940s.

AM

15DISCRETE MATHEMATICS & COMBINATORICS

THE KNOT BOOKAn Elementary Introduction to the Mathematical Theory of KnotsColin Adams2004 277pp9780821836781 Paperback £34.95 / €40.00

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.

POINCARÉ'S LEGACIES, PART Ipages from year two of a mathematical blogTerence Tao2009 293pp9780821848838 Paperback £41.95 / €48.00

Focuses on ergodic theory, combinatorics, and number theory. This book discusses a variety of topics, ranging from developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes.

RAMSEY THEORY FOR PRODUCT SPACESPandelis Dodos & Vassilis Kanellopoulos2016 245pp9781470428082 Hardback £115.00 / €130.00


This book is devoted to one of the most important areas of Ramsey theory - the Ramsey theory of product spaces. It is a culmination of a series of recent breakthroughs by the two authors and their students who were able to lift this theory to the infinite-dimensional case. The book presents major results and methods in the area, such as Szemeredi's regularity method and the hypergraph removal lemma.

RAMSEY THEORY ON THE INTEGERSSecond Edition

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Bruce M. Landman & Aaron Robertson2014 396pp9780821898673 Paperback £62.50 / €71.00


Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics.

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COMBINATORICS AND RANDOM MATRIX THEORY Jinho Baik, Percy Deift & Toufic Suidan2016 461pp9780821848418 Hardback £90.50 / €100.00


The goal of this book is to analyse in detail Ulam's problem for increasing subsequences of random permutations, and domino tilings of the Aztec diamond. Other examples are also described along the way, but in less detail. The book is self-contained, and develops enough of the theory from each area that a general reader can learn the subject directly from the text.

COMPLEX GRAPHS AND NETWORKSFan R. K. Chung & Linyuan Lu2006 264pp9780821836576 Paperback £57.95 / €67.00


Based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, this work presents fresh perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate the information age.A co-publication of the AMS and CBMS

EXPERIMENTAL MATHEMATICSV.I. ArnoldTranslated by Dmitry Fuchs & Mark Saul2015 158pp9780821894163 Paperback £29.50 / €34.00


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.

THE GAME OF COPS AND ROBBERS ON GRAPHS

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Anthony Bonato & Richard J. Nowakowski2011 276pp9780821853474 Paperback £48.95 / €56.00


This book is the first to examine the topic of Cops and Robbers games, and more generally, the field of vertex pursuit games on graphs. One of its main goals is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games.

DISCRETE MATHEMATICS & COMBINATORICS

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PUSHING LIMITS From West Point to Berkeley and Beyond Ted Hill


GENERAL INTEREST

RUDIMENTS OF RAMSEY THEORYSecond EditionRon Graham & Steve Butler2015 82pp9780821841563 Paperback £29.50 / €34.00


In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colourings of the integers by finitely many colours must have long monochromatic arithmetic progressions; and colourings of the edges of large graphs must have monochromatic subgraphs of a specified type. This book explores the basic results and variations of this theory.

STABLE MARRIAGE AND ITS RELATION TO OTHER

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COMBINATORIAL PROBLEMSDonald E. Knuth1996 74pp9780821806036 Paperback £25.50 / €29.00

CRM Proceedings & Lecture Notes, Vol. 10

Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.A co-publication of the AMS and Centre de Recherches Mathématiques

GALLERY OF THE INFINITERichard Evan SchwartzDec 2016 187pp9781470425579 Paperback £24.95 / €29.00

Gallery of the Infinite is a mathematician's unique view of the infinitely many sizes of infinity. Written in a playful yet informative style, it introduces important concepts from set theory (including the Cantor Diagonalization Method and the Cantor-Bernstein Theorem) using colourful pictures, with little text and almost no formulas.

BESTSELLER REALLY BIG NUMBERSRichard Evan Schwartz2014 192pp9781470414252 Paperback £19.95 / €24.00

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.

BESTSELLER YOU CAN COUNT ON MONSTERSThe First 100 Numbers and Their CharactersRichard Evan Schwartz2015 242pp9781470422097 Paperback £19.95 / €24.00

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.

REALLY BIG NUMBERS AND YOU CAN COUNT ON MONSTERS Two-Volume Set2015 436pp9781470422943 Paperback £32.50 / €39.00

If you are a teaching academic or course leader you may request up to three titles as FREE inspection copies (especially those marked with the textbook icon) to consider as textbooks for students on your course. For further details please visit:

eurospangroup.com/inspection

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BESTSELLERS

THE CASE OF ACADEMICIAN NIKOLAI NIKOLAEVICH LUZINEdited by Sergei S. Demidov & Boris V. Levshin2016 386pp9781470426088 Hardback £59.95 / €69.00

History of Mathematics, Vol. 43

A campaign to ‘Sovietize' all sciences in the USSR took aim at Nikolai Nikolaevich Luzin, the leader of the Soviet school of mathematics, with an accusatory article published in Pravda. This book contains the transcripts of the five 1936 meetings of the commission of the Academy of Sciences who were charged with investigating the accusations against Luzin.

JOHN VON NEUMANNThe Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much MoreNorman Macrae1999 406pp9780821826768 Paperback £36.95 / €42.00

Presents the biography of John von Neumann, one of the greatest scientists of the century after Einstein. This book discusses von Neumann's work in areas such as game theory, mathematics, physics, and meteorology which formed the building blocks for the most important discoveries of the century: the modern computer, game theory, and the atom bomb.

WHAT'S HAPPENING IN THE MATHEMATICAL SCIENCES, VOLUME 10Dana Mackenzie & Barry Cipra2015 111pp9781470422042 Paperback £22.50 / €29.00

Offers a collection of articles highlighting some of the most recent developments in mathematics. Articles include "Prime Clusters and Gaps: Out-Experting the Experts", and "The Kadison-Singer Problem: A Fine Balance"; "Climate Past, Present, and Future" and "The Truth Shall Set Your Fee".

CARTAN FOR BEGINNERSDifferential Geometry via Moving Frames and Exterior Differential Systems, Second EditionThomas A. Ivey & Joseph M. Landsberg


ORDERED GROUPS AND TOPOLOGYAdam Clay & Dale Rolfsen


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COMPUTATIONAL TOPOLOGYAn Introduction

AM

Herbert Edelsbrunner & John L. Harer2010 241pp9780821849255 Hardback £63.50 / €72.00

Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology.

DIFFERENTIAL GEOMETRYCurves - Surfaces - Manifolds, Third EditionWolfgang Kuhnel2016 412pp9781470423209 Paperback £49.95 / €57.00


Offers an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples.

GEOMETRY AND THE IMAGINATIOND. Hilbert & S. Cohn-Vossen1952 357pp9780821819982 Hardback £46.95 / €54.00


Suitable for beginners and experienced mathematicians, this book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. It offers a discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way.

GEOMETRY & TOPOLOGY

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THE TOOLS OF MATHEMATICAL REASONING Tamara J. Lakins


BESTSELLERS

BASIC SET THEORYA. Shen & N.K. Vereshchagin2002 128pp9780821827314 Paperback £26.50 / €31.00


Suitable for undergraduate students as well as professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma, this text introduces the main subjects of 'naive' (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, and operations on ordinals.

COMPUTABILITY THEORYRebecca Weber

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2012 206pp9780821873922 Paperback £37.95 / €43.00


Gives the reader a firm grounding in the fundamentals of computability theory and an overview of currently active areas of research, such as reverse mathematics and algorithmic randomness.

PRINCIPLES OF MATHEMATICAL LOGICD. Hilbert & W. Ackermann1950 172pp9780821820247 Hardback £34.95 / €40.00


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.

SET THEORYFelix Hausdorff1957 352pp9780821838358 Hardback £46.95 / €54.00


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.

GRID HOMOLOGY FOR KNOTS AND LINKSPeter S. Ozsvath, Andras I. Stipsicz & Zoltan Szabo2015 410pp9781470417376 Hardback £115.00 / €130.00


Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory.

KNOTS, MOLECULES, AND THE UNIVERSE

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An Introduction to TopologyErica Flapan2015 386pp9781470425357 Hardback £70.50 / €81.00

Provides an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics.

PERSISTENCE THEORY: FROM QUIVER REPRESENTATIONS TO

AM DATA ANALYSISSteve Y. Oudot2015 218pp9781470425456 Hardback £115.00 / €130.00


Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of persistence theory, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis.

QUANDLESAn Introduction to the Algebra of Knots

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Mohamed Elhamdadi & Sam Nelson2015 248pp9781470422134 Paperback £49.95 / €57.00


Provides an accessible introduction to quandle theory for readers with a background in linear algebra. Important concepts from topology and abstract algebra motivated by quandle theory are introduced along the way. Includes elementary self-contained treatments of topics such as group theory, cohomology, knotted surfaces and more.

LOGIC & FOUNDATIONS

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MATHEMATICAL PHYSICSLOGIC & FOUNDATIONS

MATHEMATICAL UNDERSTANDING OF NATURE AM

Essays on Amazing Physical Phenomena and their Understanding by MathematiciansV. I. Arnold2014 167pp9781470417017 Paperback £29.50 / €34.00

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.

NAVIER-STOKES EQUATIONSTheory and Numerical AnalysisRoger Temam1984 408pp9780821827376 Hardback £69.50 / €79.00


Presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids.

PROBABILITY AND STATISTICAL PHYSICS IN ST. PETERSBURGEdited by V. Sidoravicius & S. Smirnov2016 478pp9781470422486 Hardback £125.00 / €140.00


Brings the reader to the cutting edge of several important directions of the contemporary probability theory. The authors are leading experts in the field and provide a panorama of the field from the point of view of scientists who played, and continue to play, a pivotal role in the development of the new methods and ideas, interlinking it with geometry, complex analysis, and conformal field theory.

QUANTUM FIELDS AND STRINGSA Course for Mathematicians, Two-Volume SetEdited by Pierre Deligne1999 1501pp9780821820148 Paperback £66.50 / €76.00

Ideas from quantum field theory and string theory have had considerable impact on mathematics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. These volumes are a written record of the program.

IT’S ABOUT TIME Elementary Mathematical Aspects of Relativity Roger Cooke


BESTSELLERS

COLLECTED PAPERS ON WAVE MECHANICSThird EditionErwin Schrödinger1982 208pp9780821835241 Hardback £40.95 / €47.00


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.

MATHEMATICAL METHODS IN QUANTUM MECHANICS AM

With Applications to Schrödinger Operators, Second EditionGerald Teschl2014 356pp9781470417048 Hardback £68.50 / €78.00


A brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators.

MATHEMATICAL METHODS OF ELECTROMAGNETIC THEORY AM

Kurt O. Friedrichs2014 145pp9781470417116 Paperback £34.95 / €40.00


Provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York

Special Note to AMS MembersAMS members qualify for a discount off the price of AMS publications. Email [email protected] or call +44 (0)1767 604972 and provide your membership number to make your purchase.

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TEACHING SCHOOL MATHEMATICS: ALGEBRAHung-Hsi Wu2016 283pp9781470427214 Hardback £59.95 / €66.00

A systematic exposition of introductory school algebra written specifically for Common Core era teachers. The emphasis of

the exposition is to give a mathematically correct treatment of introductory algebra. For example, it explains the proper use of symbols, why "variable" is not a mathematical concept, what an equation is, what equation-solving means, why all parabolas are similar, and more.

TEACHING SCHOOL MATHEMATICS: PRE-ALGEBRAHung-Hsi Wu2016 383pp9781470427207 Hardback £59.95 / €66.00

A systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion.

TEACHING SCHOOL MATHEMATICS: FROM PRE-ALGEBRA TO ALGEBRAHung-Hsi Wu2016 666pp, Two-Volume Set9781470430009 Hardback £91.50 / €105.00

Also available by Hung-Hsi Wu

BESTSELLER UNDERSTANDING NUMBERS IN ELEMENTARY SCHOOL MATHEMATICS Hung-Hsi Wu2011 551pp9780821852606 Hardback £84.50 / €97.00

A textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership.

MATHEMATICS EDUCATION

RANDOM OPERATORSDisorder Effects on Quantum

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Spectra and DynamicsMichael Aizenman & Simone Warzel2016 320pp9781470419134 Hardback £80.50 / €92.00


Provides an introduction to the mathematical theory of disorder effects on quantum spectra and dynamics.

STRING-MATH 2012Edited by Ron Donagi et al2015 341pp9780821894958 Hardback £125.00 / €140.00


Contains the proceedings of the conference String-Math 2012, held at the Hausdorff Center for Mathematics, Universitat Bonn. Topics include super Riemann surfaces and their super moduli, generalized moonshine and K3 surfaces, the latest developments in supersymmetric and topological field theory, localization techniques, applications to knot theory, and many more.

STRING-MATH 2014Edited by Vincent Bouchard et al2016 397pp9781470419929 Hardback £125.00 / €140.00


The conference String-Math 2014 was held from June 9-13, 2014, at the University of Alberta. This edition of String-Math was the first to include satellite workshops: "String-Math Summer School", "Calabi-Yau Manifolds and their Moduli", and "Quantum Curves and Quantum Knot Invariants". This volume presents the proceedings of the conference and satellite workshops.

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A DECADE OF THE BERKELEY MATH CIRCLEThe American Experience, Volume IEdited by Zvezdelina Stankova & Tom Rike2009 326pp9780821846834 Paperback £25.50 / €29.00


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

A DECADE OF THE BERKELEY MATH CIRCLEThe American Experience, Volume IIEdited by Zvezdelina Stankova & Tom Rike2015 364pp9780821849125 Paperback £25.50 / €29.00


The Berkeley Math Circle (BMC) started in 1998 as one of the very first maths circles in the US. Over the last decade and a half, 100 instructors have shared their passion for mathematics by delivering over 800 BMC sessions. This second volume is based on a dozen of these sessions, encompassing a variety of enticing and stimulating mathematical topics.A co-publication of the AMS and the Mathematical Sciences Research Institute

ALGEBRAIC INEQUALITIES: NEW VISTASTitu Andreescu & Mark Saul


MOVING THINGS AROUNDBowen Kerins et al


SOME APPLICATIONS OF GEOMETRIC THINKINGBowen Kerins et al


BESTSELLERS

MATHEMATICS EDUCATION

GEOMETRY IN PROBLEMSAlexander Shen2016 232pp9781470419219 Paperback £25.50 / €28.00


Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students. This book contains more than 750 (mostly) easy but non-trivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study. Each chapter also provides concise reminders of basic notions used in the chapter.A co-publication of the AMS and the Mathematical Sciences Research Institute

HOW TO TEACH MATHEMATICSThird Edition Steven G. Krantz2015 146pp9781470425524 Paperback £35.95 / €41.00

This third edition is a lively and provocative tract on how to teach mathematics in today's new world of online learning tools and innovative teaching devices. The author guides the reader through the joys and pitfalls of interacting with modern undergraduates - telling you explicitly what to do and what not to do.

MATH CIRCLES FOR ELEMENTARY SCHOOL STUDENTSBerkeley 2009 and Manhattan 2011Natasha Rozhkovskaya2014 163pp9781470416959 Paperback £25.50 / €29.00


Introduces the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. A co-publication of the AMS and the Mathematical Sciences Research Institute

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BEURLING GENERALIZED NUMBERSHarold G. Diamond & Wen-Bin ZhangOct 2016 244pp9781470430450 Hardback £115.00 / €125.00


Using both analytic and elementary methods, this book presents many old and new theorems, including several of the authors' results, and many examples of extremal behaviour of g-number systems. The authors also give detailed accounts of the L2 PNT theorem of J.P. Kahane and of the example created with H.L. Montgomery, showing that additive structure is needed for proving the Riemann hypothesis.

BESTSELLERS

A COURSE IN ANALYTIC NUMBER THEORY

AM

Marius Overholt2015 371pp9781470417062 Hardback £80.50 / €92.00


Offers an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem.

MATH FROM THREE TO SEVENThe Story of a Mathematical Circle for PreschoolersAlexander Zvonkin2011 300pp9780821868737 Paperback £25.50 / €29.00


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

A MOSCOW MATH CIRCLEWeek-by-week Problem SetsSergey Dorichenko2012 354pp9780821868744 Paperback £25.50 / €29.00


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

PROBABILITY THROUGH ALGEBRABowen Kerins et al2015 176pp9781470419257 Paperback £29.50 / €34.00


Consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. The specific themes developed is to introduce readers to the algebraic properties of expected value and variance through analysis of games, and to the use of generating functions and formal algebra as combinatorial tools.A co-publication of the AMS and IAS/Park City Mathematics Institute

NUMBER THEORY

FERMAT'S LAST THEOREMBasic ToolsTakeshi Saito 2013 277pp 9780821898482 Paperback £49.95 / €57.00.

Translations of Mathematical Monographs. Vol. 243

The Proof2015 234pp9780821898499 Paperback £54.95 / €63.00

Translations of Mathematical Monographs, Vol. 245

Two-Volume Set2015 34pp 9781470422165 Paperback £86.50 / €99.00

Translations of Mathematical Monographs Vols. 243/245

Presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics.

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PROBABILITY & STATISTICS

LARGE DEVIATIONSS.R.S. Varadhan


BESTSELLERS

ASYMPTOPIAJoel Spencerwith Laura Florescu2014 195pp9781470409043 Paperback £39.95 / €46.00


Asymptotics in one form or another are part of the landscape for every mathematician. The objective of this book is to present the ideas of how to approach asymptotic problems that arise in discrete mathematics, analysis of algorithms, and number theory. A broad range of topics is covered, including distribution of prime integers, Erdős Magic, random graphs, Ramsey numbers, and asymptotic geometry.

INTRODUCTION TO ANALYTIC AND PROBABILISTIC NUMBER THEORY Third EditionGérald Tenenbaum2015 641pp9780821898543 Hardback £90.50 / €105.00


Provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classical contents of undergraduate courses, it offers to students and young researchers a systematic and consistent account on the subject.

LECTURES ON THE RIEMANN ZETA FUNCTIONH. Iwaniec2014 119pp9781470418519 Paperback £40.95 / €47.00


The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics. This book covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers.

RAMANUJANTwelve Lectures on Subjects Suggested by His Life and WorkG.H. Hardy1991 254pp9780821820230 Hardback £41.95 / €48.00


Ramanujan occupies a unique place in analytic number theory. His formulas, identities, and calculations are still amazing three-quarters of a century after his death. Many of his discoveries seem to have appeared as if from the ether. The author collects twelve of his own lectures on topics stemming from Ramanujan's life and work.

THE ULTIMATE CHALLENGEThe 3x+1 ProblemEdited by Jeffrey C. Lagarias2011 344pp9780821849408 Hardback £63.50 / €72.00

Reports on what is known on this problem. It begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results. These are followed by three survey papers, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behaviour of the iteration, followed by a paper giving the latest computational results. It also reprints six early papers on the problem and related questions.

2424 PROBABILITY & STATISTICS

AN INTRODUCTION TO STOCHASTIC DIFFERENTIAL

AM EQUATIONSLawrence C. Evans2014 151pp9781470410544 Hardback £34.95 / €40.00

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.

MARKOV CHAINS AND MIXING TIMES David A. Levin, Yuval Peres & Elizabeth L. Wilmer2009 371pp9780821847398 Hardback £72.50 / €83.00

Presents an introduction to the modern approach to the theory of Markov chains. This book intends to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space.

PROBABILITY THEORYS.R.S Varadhan 2001 167pp9780821828526 Paperback £28.50 / €33.00


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

TOPICS IN RANDOM MATRIX THEORYTerence Tao 2012 291pp9780821874301 Hardback £65.50 / €75.00


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.

CONTINUOUS TIME MARKOV PROCESSESAn IntroductionThomas M. Liggett2010 271pp9780821849491 Hardback £58.95 / €68.00


Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes, and applies this theory to various special examples.

A COURSE ON LARGE DEVIATIONS WITH AN INTRODUCTION TO GIBBS MEASURESFiras Rassoul-Agha & Timo Seppalainen2015 314pp9780821875780 Hardback £80.50 / €92.00


Presents an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course.

FOKKER-PLANCK-KOLMOGOROV EQUATIONSVladimir I. Bogachev et al2016 489pp9781470425586 Hardback £115.00 / €130.00


Gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter.

CONTEMPORARY MATHEMATICS

Algebra & Algebraic Geometry

RECENT DEVELOPMENTS IN REPRESENTATION THEORYEdited by Alex Martsinkovsky, Gordana Todorov & Kiyoshi IgusaNov 2016 249pp9781470419554 Paperback £110.00 / €125.00

Contemporary Mathematics, Vol. 673

NONCOMMUTATIVE GEOMETRY AND OPTIMAL TRANSPORTEdited by Pierre Martinetti & Jean-Christophe WalletNov 2016 222pp9781470422974 Paperback £110.00 / €125.00


ALGEBRA AND COMPUTER SCIENCE AM

Edited by Delaram Kahrobaei, Bren Cavallo & David GarberDec 2016 240pp9781470423032 Paperback £110.00 / €125.00


CATEGORIFICATION AND HIGHER REPRESENTATION THEORYEdited by Anna Bellakova & Aaron D. LaudaMar 2017 363pp9781470424602 Paperback £115.00 / €125.00


CATEGORIFICATION IN GEOMETRY, TOPOLOGY, AND PHYSICSEdited by Anna Beliakova & Aaron D. LaudaMar 2017 268pp9781470428211 Paperback £115.00 / €125.00


Analysis

OPERATOR ALGEBRAS AND THEIR APPLICATIONSA Tribute to Richard V. KadisonEdited by Robert S. Doran & Efton ParkOct 2016 267pp9781470419486 Paperback £110.00 / €125.00


TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRAEdited by Bernard Russo et alOct 2016 272pp9781470419288 Paperback £110.00 / €125.00


ERGODIC THEORY, DYNAMICAL SYSTEMS, AND THE CONTINUING INFLUENCE OF JOHN C. OXTOBYEdited by Joseph Auslander, Aimee Johnson & Cesar E. SilvaDec 2016 328pp9781470422998 Paperback £110.00 / €125.00


RECENT PROGRESS ON OPERATOR THEORY AND APPROXIMATION IN SPACES OF ANALYTIC FUNCTIONS Edited by Catherine Bénéteau et alJan 2017 217pp9781470423056 Paperback £110.00 / €125.00


ANALYSIS AND GEOMETRY IN SEVERAL COMPLEX VARIABLES Edited by Shiferaw Berhanu, Nordine Mir & Emil J. Straube Feb 2017 184pp9781470422554 Paperback £115.00 / €125.00


Differential Equations

RECENT ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONSEdited by Vicentiu D. Rădulescu, Adélia Sequeira & Vsevolod A. Solonnikov2016 401pp9781470415211 Paperback £110.00 / €125.00


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Geometry & Topology

KNOT THEORY AND ITS APPLICATIONSEdited by Krishnendu Gongopadhyay & Rama MishraOct 2016 357pp9781470422578 Paperback £145.00 / €155.00


RECENT ADVANCES IN THE GEOMETRY OF SUBMANIFOLDSDedicated to the Memory of Franki Dillen (1963-2013)Edited by Bogdan D. Suceavă et alOct 2016 207pp9781470422981 Paperback £110.00 / €125.00


REAL AND COMPLEX SINGULARITIESEdited by Ana Claudia Nabarro et alNov 2016 359pp9781470422059 Paperback £110.00 / €125.00


PHYSICS AND MATHEMATICS OF LINK HOMOLOGY Edited by Sergei Gukov, Mikhail Khovanov & Johannes WalcherJan 2017 180pp978147041459-7 Paperback £110.00 / €125.00

Contemporary Mathematics, Vol. 680A co-publication of the AMS and Centre de Recherches Mathématiques.

MANIFOLDS AND K-THEORY Edited by Gregory Arone et al Feb 2017 259pp9781470417000 Paperback £115.00 / €125.00


Mathematical Physics

NONCOMMUTATIVE GEOMETRY AND OPTIMAL TRANSPORTEdited by Pierre Martinetti & Jean-Christophe Wallet Nov 2016 222pp9781470422974 Paperback £110.00 / €125.00


Number Theory

ADVANCES IN NON-ARCHIMEDEAN ANALYSISEdited by Helge Glockner, Alain Escassut & Khodr Shamseddine2016 335pp9781470419882 Paperback £110.00 / €125.00


DYNAMICS AND NUMBERSEdited by Sergi Kolyada et alOct 2016 315pp9781470420208 Paperback £110.00 / €125.00


Probability & Statistics

PROBABILITY ON ALGEBRAIC AND GEOMETRIC STRUCTURESEdited by Gregory Budzban, Harry Randolph Hughes & Henri Schurz2016 221pp9781470419455 Paperback £110.00 / €125.00


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CONTEMPORARY MATHEMATICS

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Algebra & Algebraic Geometry

DESCENT CONSTRUCTION FOR GSPIN GROUPSJoseph Hundley & Eitan Sayag2016 125pp9781470416676 Paperback £85.50 / €94.00

Memoirs of the American Mathematical Society, Vol. 243, No.1148

REAL NON-ABELIAN MIXED HODGE STRUCTURES FOR QUASI-PROJECTIVE VARIETIESFormality and SplittingJ.P. Pridham2016 178pp9781470419813 Paperback £94.50 / €105.00

Memoirs of the American Mathematical Society, Vol. 243, No. 1150

MONOIDAL CATEGORIES AND THE GERSTENHABER BRACKET IN HOCHSCHILD COHOMOLOGYReiner Hermann2016 146pp9781470419950 Paperback £87.50 / €96.00


HYPERBOLICALLY EMBEDDED SUBGROUPS AND ROTATING FAMILIES IN GROUPS ACTING ON HYPERBOLIC SPACESF. Dahmani, V. Guirardel & Denis V. OsinJan 2017 154pp9781470421946 Paperback £76.50 / €84.00


IMAGINARY SCHUR-WEYL DUALITYAlexander Kleshchev & Robert MuthJan 2017 83pp9781470422493 Paperback £76.50 / €84.00


BIRATIONALLY RIGID FANO THREEFOLD HYPERSURFACES Ivan Cheltsov & Dr Jihun ParkJan 2017 117pp9781470423162 Paperback £76.50 / €84.00


Analysis

THE abc-PROBLEM FOR GABOR SYSTEMSXin-Rong Dai & Qiyu SunOct 2016 99pp9781470420154 Paperback £80.50 / €89.00


ROHLIN FLOWS ON VON NEUMANN ALGEBRASToshihiko Masuda & Reiji TomatsuOct 2016 111pp9781470420161 Paperback £84.50 / €93.00


AN INVERSE SPECTRAL PROBLEM RELATED TO THE GENG-XUE TWO-COMPONENT PEAKON EQUATIONHans Lundmark & Jacek SzmigielskiOct 2016 87pp9781470420260 Paperback £80.50 / €89.00


RECTIFIABLE MEASURES, SQUARE FUNCTIONS INVOLVING DENSITIES, AND THE CAUCHY TRANSFORMXavier TolsaJan 2017 130pp9781470422523 Paperback £76.50 / €84.00


LP-SQUARE FUNCTION ESTIMATES ON SPACES OF HOMOGENEOUS TYPE AND ON UNIFORMLY RECTIFIABLE SETSSteve Hofmann et alJan 2017 108pp9781470422608 Paperback £76.50 / €84.00


CLASSIFICATION OF ACTIONS OF DISCRETE KAC ALGEBRAS ON INJECTIVE FACTORSToshihiko Masuda & Reiji TomatsuJan 2017 118pp9781470420550 Paperback £76.50 / €84.00


OSELEDEC MULTIPLICATIVE ERGODIC THEOREM FOR LAMINATIONS Viêt-Anh NguyênJan 2017 174pp9781470422530 Paperback £76.50 / €84.00


MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

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Differential Equations

CARLEMAN ESTIMATES, OBSERVABILITY INEQUALITIES AND NULL CONTROLLABILITY FOR INTERIOR DEGENERATE NONSMOOTH PARABOLIC EQUATIONSGenni Fragnelli & Dimitri Mugnai2016 83pp9781470419547 Paperback £74.50 / €82.00


LAYER POTENTIALS AND BOUNDARY-VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC OPERATORS WITH DATA IN BESOV SPACESAriel Barton & Svitlana Mayboroda2016 110pp9781470419899 Paperback £84.50 / €93.00


THE ROLE OF ADVECTION IN A TWO-SPECIES COMPETITION MODEL: A BIFURCATION APPROACHIsabel Averill, King-Yeung Lam & Yuan LouJan 2017 106pp9781470422028 Paperback £76.50 / €84.00


Discrete Mathematics & Combinatorics

PROOF OF THE 1-FACTORIZATION AND HAMILTON DECOMPOSITION CONJECTURESBela Csaba et alOct 2016 164pp9781470420253 Paperback £91.50 / €105.00


Geometry & Topology

ABELIAN PROPERTIES OF ANICK SPACES Brayton GrayJan 2017 111pp 9781470423087 Paperback £76.50 / €84.00


EXOTIC CLUSTER STRUCTURES ON SLn: THE CREMMER-GERVAIS CASE M. Gekhtman, M. Shapiro & A. VainshteinJan 2017 94pp9781470422585 Paperback £76.50 / €84.00


Logic & Foundations

NEW FOUNDATIONS FOR GEOMETRY–TWO NON-ADDITIVE LANGUAGES FOR ARITHMETICAL GEOMETRY Shai M. J. HaranJan 2017 202pp9781470423124 Paperback £76.50 / €84.00


Number Theory

ON DWORK’S P-ADIC FORMAL CONGRUENCES THEOREM AND HYPERGEOMETRIC MIRROR MAPS E. Delaygue, T. Rivoal & J. RoquesJan 2017 94pp9781470423001 Paperback £76.50 / €84.00


MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

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