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Published by Eurospan_Catalogues, 2017-04-05 08:53:18

American Mathematical Society - Spring 2017

Latest titles published by American Mathematical Society

Keywords: mathematics

PUBLICATIONS OF

the American Mathematical Society

Spring 2017

TABLE OF CONTENTS Special Note to AMS Members

AMS members qualify for a discount on the price of AMS
1 HIGHLIGHTS publications. Please provide your membership number when
8 ALGEBRA & ALGEBRAIC GEOMETRY making your purchase.
9 ANALYSIS
11 APPLIED MATHEMATICS AMS eBooks
13 DIFFERENTIAL EQUATIONS
14 DISCRETE MATHEMATICS The AMS offers several of its most popular series in eBook
& COMBINATORICS format. Titles may be purchased as complete backfiles or current-
16 GENERAL INTEREST year subscriptions, and are available with site-wide, unlimited
17 GEOMETRY & TOPOLOGY simultaneous access, and without DRM.
18 LOGIC & FOUNDATIONS Visit ams.org/ebooks for complete details.
19 MATHEMATICAL PHYSICS
20 MATHEMATICS EDUCATION To set up a standing order for any series in this
22 NUMBER THEORY catalogue, please email:
23 PROBABILITY & STATISTICS [email protected]
25 CONTEMPORARY MATHEMATICS
SERIES
27 MEMOIRS OF THE AMERICAN
MATHEMATICAL SOCIETY

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our new titles by registering for e-alerts at:

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Founded in 1888 to further mathematical If you are a teaching academic or course leader
research and scholarship, the American you may request up to three titles as FREE
Mathematical Society fulfils its mission inspection copies (especially those marked with
through programmes and services that the textbook icon) to consider as textbooks
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uses, strengthen mathematical education, please visit:
and foster awareness and appreciation of
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disciplines and to everyday life.
Applied Mathematics AM

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

HIGHLIGHTS 1

IT’S ABOUT TIME
Elementary Mathematical Aspects of Relativity

Roger Cooke
Apr 2017 410pp
9781470434830 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 Hill
Apr 2017 334pp
9781470435844 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

2 HIGHLIGHTS

GAME THEORY, ALIVE AM

Anna R. Karlin & Yuval Peres
May 2017 396pp
9781470419820 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 THEORY
A Playful Introduction

Matt DeVos & Deborah Kent
Jan 2017 360pp
9781470422103 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.

HIGHLIGHTS 3

LARGE DEVIATIONS

S.R.S. Varadhan
Dec 2016 104pp
9780821840863 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 TOPOLOGY

Adam Clay & Dale Rolfsen
Dec 2016 154pp
9781470431068 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 BEGINNERS
Differential Geometry via Moving Frames and
Exterior Differential Systems, Second Edition

Thomas A. Ivey & Joseph M. Landsberg
Jan 2017 455pp

9781470409869 Hardback £90.50 / €100.00

Graduate Studies in Mathematics, Vol. 175

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.

4 HIGHLIGHTS

DIFFERENTIAL GALOIS THEORY THROUGH
RIEMANN-HILBERT CORRESPONDENCE
An Elementary Introduction

Jacques Sauloy
Jan 2017 279pp
9781470430955 Hardback £90.50 / €100.00
Graduate Studies in Mathematics, Vol. 177

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 VARIETIES

Alexander Kirillov, Jr.
Nov 2016 295pp
9781470423070 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.

HIGHLIGHTS 5

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

Shahriar Shahriari
Apr 2017 655pp
9781470428495 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 REASONING

Tamara J. Lakins
Oct 2016 217pp
9781470428990 Hardback £70.50 / €77.00
Pure and Applied Undergraduate Texts, Vol. 26

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 NATURE

Hossein Hosseini Giv
Oct 2016 351pp
9781470428075 Hardback £90.50 / €100.00
Pure and Applied Undergraduate Texts, Vol. 25

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.

6 HIGHLIGHTS

LECTURES ON CHEVALLEY GROUPS

Robert Steinberg
Feb 2017 157pp
9781470431051 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 VISTAS

Titu Andreescu & Mark Saul
Dec 2016 126pp
9781470434649 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

HIGHLIGHTS 7

MOVING THINGS AROUND

Bowen Kerins et al
Nov 2016 152pp
9781470429263 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 THINKING

Bowen Kerins et al
Nov 2016 222pp
9781470429256 Paperback £29.50 / €33.00
IAS/PCMI-The Teacher Program Series, Vol. 4

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 TATE

Edited by Barry Mazur & Jean-Pierre Serre
Part I (1951-1975)
Jan 2017 678pp
9780821890929 Hardback £155.00 / €170.00

Collected Works, Vol. 24.1

Part II (1976-2006)

Jan 2017 736pp
9780821890936 Hardback £155.00 / €170.00

Collected Works, Vol. 24.2

Parts I and II Save more than 10%

Jan 2017 1414pp
9780821890912 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.

8

ALGEBRA & ALGEBRAIC GEOMETRY

ALGEBRA IN ACTION ON GROUPS OF PL-HOMEOMORPHISMS OF
A Course in Groups, Rings, and Fields THE REAL LINE

Shahriar Shahriari Robert Bieri & Ralph Strebel
Dec 2016 174pp
See page 5 for details of this title 9781470429010 Hardback £115.00 / €125.00
Mathematical Surveys and Monographs, Vol. 215
COLLECTED WORKS OF JOHN TATE
Richard Thompson's famous group F has the striking property
Edited by Barry Mazur& Jean-Pierre Serre that it can be realized as a dense subgroup of the group of all
See page 7 for details of this title orientation-preserving homeomorphisms of the unit interval,
but it can also be given by a simple 2-generator-2-relator
DEVELOPMENT OF MODULI THEORY - AM presentation. This monograph studies a natural generalization
KYOTO 2013 of F that also includes Melanie Stein's generalized F-groups.

Edited by Osamu Fujino et al QUIVER REPRESENTATIONS AND
Nov 2016 537pp QUIVER VARIETIES
9784864970327 Hardback £175.00 / €195.00
Alexander Kirillov
Advanced Studies in Pure Mathematics, Vol. 69
See page 4 for details of this title
Contains the proceedings of the 6th Mathematical Society
of Japan Seasonal Institute Development of Moduli Theory, BESTSELLERS
which was held as the Seasonal Institute 2013, with support
from the A publication of the Mathematical Society of Japan ADVANCED MODERN ALGEBRA
and the 2013 Research Project of the Research Institute of Third Edition, Part I
Mathematical Science, Kyoto University. This volume consists
of five survey articles and eight research articles. Joseph J. Rotman
2015 709pp
A publication of the Mathematical Society of Japan 9781470415549 Hardback £90.50 / €105.00
Graduate Studies in Mathematics, Vol. 165
LECTURES ON CHEVALLEY GROUPS
This new edition has been significantly reorganised and many
Robert Steinberg sections have been rewritten. This first part consists of two
See page 6 for details of this title courses: Galois theory and Module theory.

MINIMAL MODELS AND EXTREMAL RAYS ALGEBRAIC CURVES AND
(KYOTO, 2011) RIEMANN SURFACES

Edited by János Kollár et al Rick Miranda
2016 420pp 1995 390pp
9784864970365 Hardback £155.00 / €170.00 9780821802687 Hardback £61.50 / €70.00
Graduate Studies in Mathematics, Vol. 5
Advanced Studies in Pure Mathematics, Vol. 70
Takes the approach that algebraic curves are best encountered
Since the appearance of extremal rays and the minimal model for the first time over the complex numbers, where the reader's
program in the early 1980s, we have seen the tremendous classical intuition about surfaces, integration, and other
development of algebraic geometry. With this in mind, the concepts can be brought into play.
conference on Minimal Models and Extremal Ray was held at
the Research Institute for Mathematical Sciences (RIMS) at ALGEBRAIC SPACES AND STACKS
Kyoto University in June 2011. The purpose of the conference
was to review the past, examine the present, and enjoy Martin Olsson
discussing the future. 2016 299pp
9781470427986 Hardback £105.00 / €115.00
This volume contains the proceedings of this conference Colloquium Publications, Vol. 62
and consists of one survey article on the mathematical work
of Shigefumi Mori, who turned sixty in 2011, and thirteen Provides an introduction to the theory of algebraic spaces
research papers presented by the authors. and stacks intended for graduate students and researchers
A publication of the Mathematical Society of Japan familiar with algebraic geometry at the level of a first-year
graduate course.

9

A N A LY S I S

COLORED OPERADS FINITE FRAME THEORY AM
A Complete Introduction to
Donald Yau Overcompleteness
2016 428pp
9781470427238 Hardback £90.50 / €105.00 Edited by Kasso A. Okoudjou
Graduate Studies in Mathematics, Vol. 170
2016 252pp
Explores the theory of operads and colored operads, sometimes
called symmetric multicategories. A (colored) operad is an 9781470420192 Hardback £105.00 / €115.00
abstract object which encodes operations with multiple inputs
and one output and relations between such operations. Proceedings of Symposia in Applied Mathematics, Vol. 73

GALOIS THEORIES OF LINEAR DIFFERENCE Mostly written in a tutorial style, the seven chapters in this
EQUATIONS: AN INTRODUCTION volume survey recent advances in the theory and applications
of finite frames. In particular, it presents state-of-the-
Charlotte Hardouin, Jacques Sauloy & Michael F. Singer art results on foundational frame problems, and on the
2016 171pp analysis and design of various frames, mostly motivated by
9781470426552 Hardback £115.00 / €130.00 specific applications.
Mathematical Surveys and Monographs, Vol. 211
FUNCTIONS WITH
Presents three introductory tutorials coming out of three DISCONNECTED SPECTRUM AM
courses given at the CIMPA Research School "Galois Theory of Sampling, Interpolation, Translates
Difference Equations" in 2012. The aim of these tutorials is to
introduce the reader to three Galois theories of linear difference Alexander M. Olevskii & Alexander Ulanovskii
equations and their interrelations. 2016 143pp
9781470428891 Paperback £44.95 / €50.00
LIE ALGEBRAS, LIE SUPERALGEBRAS, University Lecture Series, Vol. 65
VERTEX ALGEBRAS AND RELATED TOPICS
The classical sampling problem is to reconstruct entire
Edited by Kailash C. Misra, Daniel K. Nakano & Brian J. Parshall functions with given spectrum S from their values on a
2016 355pp discrete set L. From the geometric point of view, the possibility
9781470418441 Hardback £125.00 / €140.00 of such reconstruction is equivalent to determining for which
Proceedings of Symposia in Pure Mathematics, Vol. 92 sets L the exponential system with frequencies in L forms a
frame in the space L2(S). The book also treats the problem
Contains the proceedings of the 2012-2014 Southeastern of interpolation of discrete functions by analytic ones with
Lie Theory Workshop Series held between 2012 and spectrum in S.
2014. Some of the articles by experts in the field survey
recent developments while others include new results in MATHEMATICAL ANALYSIS AND ITS
representations of Lie algebras, and quantum groups, vertex
(operator) algebras and Lie superalgebras. INHERENT NATURE

MATRIX GROUPS FOR Hossein Hosseini Giv
UNDERGRADUATES
Second Edition See page 5 for details of this title

Kristopher Tapp SCHOOL ON REAL AND COMPLEX
2016 239pp SINGULARITIES IN SÃO CARLOS, 2012
9781470427221 Paperback £49.95 / €57.00
Student Mathematical Library, Vol. 79 Edited by Raimundo Nonato et al
Oct 2016 373pp
Matrix groups touch an enormous spectrum of the 9784864970303 Hardback £130.00 / €145.00
mathematical arena. This textbook brings them into the Advanced Studies in Pure Mathematics, Vol. 68
undergraduate curriculum. It is concrete and example-driven,
with geometric motivation and rigorous proofs. 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

10 ANALYSIS

BESTSELLERS FOURIER ANALYSIS AND
ITS APPLICATIONS
ADVANCED CALCULUS
Gerald B. Folland
Second Edition 2009 433pp
9780821847909 Hardback £77.50 / €89.00
Patrick M. Fitzpatrick Pure and Applied Undergraduate Texts, Vol. 4

2009 590pp Presents the theory and applications of Fourier series and
integrals, eigenfunction expansions, and related topics, on a
9780821847916 Hardback £88.50 / €105.00 level suitable for advanced undergraduates.

Pure and Applied Undergraduate Texts, Vol. 5

Suitable as a text for courses that furnish the backbone of the AN INTRODUCTION TO CLASSICAL
student's undergraduate education in mathematical analysis, REAL ANALYSIS
this book intends to present the fundamental concepts within
the context of examples and exercises. Karl R. Stromberg
2016 575pp
ANALYSIS 9781470425449 Hardback £50.95 / €58.00

Elliott H. Lieb & Michael Loss AMS Chelsea Publishing, Vol. 376
2001 348pp
9780821827833 Hardback £48.95 / €56.00 This classic book is a text for a standard introductory course
Graduate Studies in Mathematics, Vol. 14 in real analysis, covering sequences and series, limits and
continuity, differentiation, elementary transcendental
Presents the concepts and tools to solve problems of analysis, functions, integration, infinite series and products, and
and shows how to apply these concepts to research in a variety trigonometric series. The author has avoided any presumption
of areas. that the reader has knowledge of mathematical concepts until
they are presented in the book.
A COMPREHENSIVE COURSE IN
ANALYSIS, FIVE-VOLUME SET AN INTRODUCTION TO
MEASURE THEORY
Barry Simon
Terence Tao
2016 2011 206pp
9780821869192 Hardback £56.95 / €65.00
Part 1: Real Analysis
Graduate Studies in Mathematics, Vol. 126
789pp 9781470410995 Hardback £85.00 / €105.00
Introduces the fundamentals of measure theory and
Part 2A: Basic Complex Analysis integration theory. It focuses first on the concrete setting of
Lebesgue measure and the Lebesgue integral, before moving
641pp 9781470411008 Hardback £85.00 / €105.00 on to abstract measure and integration theory, including the
standard convergence theorems, Fubini's theorem, and the
Part 2B: Advanced Complex Analysis Caratheodory extension theorem. Classical differentiation
theorems are also covered, as are connections with
321pp 9781470411015 Hardback £85.00 / €105.00 probability theory.

Part 3: Harmonic Analysis

759pp 9781470411022 Hardback £85.00 / €105.00

Part 4: Operator Theory

749pp 9781470411039 Hardback £85.00 / €105.00

Five Volume Set Save more than 25% MATHEMATICS++
Selected Topics Beyond the
3259pp 9781470410988 Hardback £315.00 / €390.00 Basic Courses AM

Written by Poincaré Prize winner Barry Simon, this is a Ida Kantor, Jiri Matousek & Robert Samal
five-volume set that can serve as a graduate-level analysis 2015 353pp
textbook with a lot of additional bonus information, including
hundreds of problems and numerous notes that extend the 9781470422615 Paperback £49.95 / €57.00
text and provide important historical background.
Student Mathematical Library, Vol. 75

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.

11

APPLIED MATHEMATICS

PROBLEMS IN REAL AND BESTSELLERS
FUNCTIONAL ANALYSIS
LECTURES AND PROBLEMS
Alberto Torchinsky A Gift to Young Mathematicians
2016 467pp
9781470420574 Hardback £80.50 / €92.00 V. I. Arnold
Graduate Studies in Mathematics, Vol. 166 Translated by Dmitry Fuchs & Mark Saul
2015 176pp
The purpose of this book is to complement the existing 9781470422592 Paperback £29.50 / €34.00
literature in introductory real and functional analysis at the MSRI Mathematical Circles Library, Vol. 17
graduate level with a variety of conceptual problems (1,457
in total), ranging from easily accessible to thought provoking, Vladimir Arnold (1937-2010) was one of the great
mixing the practical and the theoretical. mathematical minds of the late 20th century. He did significant
work in many areas of the field. On another level, he was
A USER-FRIENDLY INTRODUCTION TO keeping with a strong tradition in Russian mathematics to
LEBESGUE MEASURE AND INTEGRATION write for and to directly teach younger students interested in
mathematics. This book contains some examples of Arnold's
Gail S. Nelson contributions to the genre.
2015 221pp A co-publication of the AMS and the Mathematical
9781470421991 Paperback £49.95 / €57.00 Sciences Research Institute
Student Mathematical Library, Vol. 78
MATHEMATICAL MODELS IN
Provides a bridge between an undergraduate course in Real DEVELOPMENTAL BIOLOGY
Analysis and a first graduate-level course in Measure Theory
and Integration. The main goal of this book is to prepare Jerome K. Percus & Stephen Childress
students for what they may encounter in graduate school, but 2015 249pp
will be useful for many beginning graduate students as well. 9781470410803 Paperback £44.95 / €52.00
Courant Lecture Notes, Vol. 26
WINDING AROUND
The Winding Number in Topology, Introduces an interleaved set of mathematical models
Geometry, and Analysis representative of research in the last few decades, as well as the
techniques that have been developed for their solution. Such
John Roe models offer an effective way of incorporating reliable data in
2015 269pp a concise form, provide an approach complementary to the
9781470421984 Paperback £49.95 / €57.00 techniques of molecular biology, and help to inform and direct
Student Mathematical Library, Vol. 76 future research.
A co-publication of the AMS and the Courant Institute
Explores how the winding number can help us show that every of Mathematical Sciences at New York University
polynomial equation has a root, guarantee a fair division of
three objects in space by a single planar cut, explain why every THE MATHEMATICS OF ENCRYPTION
simple closed curve has an inside and an outside, relate calculus An Elementary Introduction
to curvature and the singularities of vector fields, and allow one
to subtract infinity from infinity and get a finite answer. Margaret Cozzens & Steven J. Miller
2013 348pp
9780821883211 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.

12 APPLIED MATHEMATICS

MIRROR SYMMETRY AND QUANTUM FIELDS AND STRINGS,
ALGEBRAIC GEOMETRY VOLUME 1
A Course for Mathematicians
David A. Cox & Sheldon Katz
1999 469pp Edited by Pierre Deligne et al
9780821821275 Paperback £61.50 / €70.00 2000 723pp
9780821820124 Paperback £36.95 / €42.00
Mathematical Surveys and Monographs, Vol. 68
Ideas from quantum field theory and string theory have had
Mirror symmetry began when theoretical physicists made considerable impact on mathematics. In 1996-97 the Institute
some astonishing predictions about rational curves on quintic for Advanced Study (Princeton, NJ) organized a special year-
hypersurfaces in four-dimensional projective space. This book long program designed to teach mathematicians the basic
presents a comprehensive monograph on mirror symmetry, physical ideas which underlie the mathematical applications.
covering the original observations by the physicists. These volumes are a written record of the program.

NUMERICAL ANALYSIS QUANTUM FIELD THEORY
Mathematics of Scientific Computing, A Tourist Guide for Mathematicians
Third Edition
Gerald B. Folland
David Kincaid & Ward Cheney 2008 325pp
2009 788pp 9780821847053 Hardback £98.95 / €115.00
9780821847886 Hardback £95.50 / €110.00 Mathematical Surveys and Monographs, Vol. 149

Pure and Applied Undergraduate Texts, Vol. 2 Presents the elements of quantum field theory, with the goal of
understanding the behavior of elementary particles rather than
Introduces students with diverse backgrounds to various building formal mathematical structures.
types of mathematical analysis that are commonly needed in
scientific computing. This title treats the subject of numerical QUANTUM MECHANICS
analysis from a mathematical point of view, offering an FOR MATHEMATICIANS
analysis of methods for scientific computing with appropriate
motivations and proofs. Leon A. Takhtajan
2008 387pp
ORIGAMI6 9780821846308 Hardback £76.50 / €87.00
Graduate Studies in Mathematics, Vol. 95
Edited by Koryo Miura et al
Presents a comprehensive treatment of quantum mechanics
I. Mathematics from a mathematics perspective. Including traditional topics,
like classical mechanics, mathematical foundations of quantum
2016 368pp mechanics, quantization, and the Schrödinger equation, this
book gives a mathematical treatment of systems of identical
9781470418755 Paperback £80.50 / €92.00 particles with spin.

II. Technology, Art, Education SAGE FOR UNDERGRADUATES
Gregory V. Bard
2016 368pp
2015 362pp
9781470418762 Paperback £80.50 / €92.00 9781470411114 Paperback £29.50 / €34.00

Two-Volume Set Save more than 15% An introduction to Sage for undergraduate students toward
the end of Calculus II or higher-level course work. The audience
2016 736pp of the book is not only math majors, but also physics,
engineering, finance, statistics, chemistry, and computer
9781470418748 Paperback £135.00 / €155.00 science majors.

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.

Special Note to AMS Members

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

13

DHIFGFHELRIEGNHTTISAL EQUATIONS

DIFFERENTIABLE DYNAMICAL SYSTEMS A FIRST COURSE IN THE AM
An Introduction to Structural Stability CALCULUS OF VARIATIONS
and Hyperbolicity
Mark Kot
Lan Wen 2014 298pp
2016 199pp 9781470414955 Paperback £50.95 / €58.00
9781470427993 Hardback £80.50 / €89.00
Graduate Studies in Mathematics, Vol. 173 Student Mathematical Library, Vol. 72

This is a graduate text in differentiable dynamical systems. This book is intended for a first course in the calculus of
It focuses on structural stability and hyperbolicity, a topic variations, at the senior or beginning graduate level. The reader
that is central to the field. Starting with the basic concepts of will learn methods for finding functions that maximize or
dynamical systems, analysing the historic systems of the Smale minimize integrals.
horseshoe, Anosov toral automorphisms, and the solenoid
attractor, the book develops the hyperbolic theory first for AN INTRODUCTION TO
hyperbolic fixed points and then for general hyperbolic sets. DYNAMICAL SYSTEMS
Continuous and Discrete, Second Edition
DIFFERENTIAL GALOIS THEORY THROUGH
RIEMANN-HILBERT CORRESPONDENCE R. Clark Robinson
An Elementary Introduction 2016 733pp
9780821891353 Hardback £94.50 / €110.00
Jacques Sauloy
Pure and Applied Undergraduate Texts, Vol. 19
See page 4 for details of this title
Provides a mathematical treatment of the introduction to
SHOCK FORMATION IN SMALL-DATA qualitative differential equations and discrete dynamical
SOLUTIONS TO 3D QUASILINEAR systems.
WAVE EQUATIONS
NONLINEAR ELLIPTIC EQUATIONS
Jared Speck OF THE SECOND ORDER
Dec 2016 518pp
9781470428570 Hardback £115.00 / €125.00 Qing Han
Mathematical Surveys and Monographs, Vol. 214 2016 368pp
9781470426071 Hardback £90.50 / €105.00
Serge Alinhac's groundbreaking work on wave equations in Graduate Studies in Mathematics, Vol. 171
the late 1990s was the first to treat more than one spatial
dimension. In 2007, for the compressible Euler equations in Provides a detailed discussion of the Dirichlet problems for
vorticity-free regions, Demetrios Christodoulou remarkably quasilinear and fully nonlinear elliptic differential equations
sharpened Alinhac's results. In this monograph, Christodoulou's of the second order with an emphasis on mean curvature
framework is extended to two classes of wave equations in equations and on Monge-Ampere equations.
three spatial dimensions.
ORDINARY DIFFERENTIAL EQUATIONS
BESTSELLERS AND DYNAMICAL SYSTEMS

CLASSICAL MECHANICS WITH AM Gerald Teschl
CALCULUS OF VARIATIONS AND 2012 356pp
OPTIMAL CONTROL 9780821883280 Hardback £65.50 / €75.00
An Intuitive Introduction Graduate Studies in Mathematics, Vol. 140

Mark Levi Provides a self-contained introduction to ordinary differential
equations and dynamical systems suitable for beginning
2014 316pp graduate students.

9780821891384 Paperback £42.95 / €49.00

Student Mathematical Library, Vol. 69

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

14

DISCRETE MATHEMATICS &
COMBINATORICS

KEY BESTSELLER GAME THEORY AM
A Playful Introduction
PARTIAL
DIFFERENTIAL Matt DeVos & Deborah Kent
EQUATIONS
Second Edition See page 2 for details of this title

Lawrence C. Evans GAME THEORY, ALIVE

2010 749pp Anna R. Karlin & Yuval Peres
See page 2 for details of this title
9780821849743 Hardback
THE MATHEMATICAL LEGACY OF
£94.50 / €110.00 RICHARD P. STANLEY

Graduate Studies in Edited by Patricia Hersh et al
Mathematics, Vol. 19 Jan 2017 352pp
9781470427245 Hardback £59.95 / €66.00
The definitive text
on partial differential Richard Stanley's work in combinatorics revolutionized
equations (PDE). It and reshaped the subject, inspiring a generation of
offers a comprehensive survey of modern techniques in researchers. In this volume, these researchers explain how
the theoretical study of PDE with particular emphasis on Stanley's vision and insights influenced and guided their
nonlinear equations. Its wide scope and clear exposition own perspectives on the subject. As a bonus, the book
make it a great text for a graduate course in PDE. This contains a collection of Stanley's short comments on each
revised edition incoporates numerous changes, including of his papers.
a new chapter on nonlinear wave equations, more than
80 new exercises, several new sections, and a significantly SELECTED WORKS OF
expanded bibliography. RICHARD P. STANLEY

WEAK CONVERGENCE METHODS Edited by Patricia Hersh et al
FOR NONLINEAR PARTIAL May 2017 783pp
DIFFERENTIAL EQUATIONS 9781470416829 Hardback £165.00 / €180.00
Collected Works, Vol. 25
Lawrence C. Evans
1990 82pp In addition to collecting several of Stanley's most
9780821807248 Paperback £20.50 / €24.00 influential papers, this volume also includes his own short
reminiscences on his early years, and on his celebrated proof
CBMS Regional Conference Series in Mathematics, Vol. 74 of The Upper Bound Theorem.

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.

PARTIAL DIFFERENTIAL EQUATIONS AM POLYNOMIAL METHODS
An Accessible Route through Theory IN COMBINATORICS
and Applications
Larry Guth
András Vasy 2016 273pp
2016 280pp 9781470428907 Paperback £48.95 / €54.00

9781470418816 Hardback £70.50 / €81.00 University Lecture Series, Vol. 64

Graduate Studies in Mathematics, Vol. 169 Explains some recent applications of the theory of polynomials
and algebraic geometry to combinatorics and other areas of
This text on partial differential equations is intended for readers mathematics. One of the first results in this story is a short
who want to understand the theoretical underpinnings of elegant solution of the Kakeya problem for finite fields. The
modern PDEs in settings that are important for the applications author also discusses in detail various problems in incidence
without using extensive analytic tools required by most geometry associated to Paul Erdös's distinct distances problem
advanced texts. in the plane from the 1940s.

DISCRETE MATHEMATICS & COMBINATORICS 15

BESTSELLERS THE KNOT BOOK
An Elementary Introduction to the
COMBINATORICS AND RANDOM Mathematical Theory of Knots
MATRIX THEORY
Colin Adams
Jinho Baik, Percy Deift & Toufic Suidan 2004 277pp
2016 461pp 9780821836781 Paperback £34.95 / €40.00
9780821848418 Hardback £90.50 / €100.00
Knots are familiar objects. Yet the mathematical theory of knots
Graduate Studies in Mathematics, Vol. 172 quickly leads to deep results in topology and geometry. This
work offers an introduction to this theory, starting with our
The goal of this book is to analyse in detail Ulam's problem for understanding of knots. It presents the applications of knot
increasing subsequences of random permutations, and domino theory to modern chemistry, biology and physics.
tilings of the Aztec diamond. Other examples are also described
along the way, but in less detail. The book is self-contained, and POINCARÉ'S LEGACIES, PART I
develops enough of the theory from each area that a general pages from year two of a mathematical blog
reader can learn the subject directly from the text.
Terence Tao
COMPLEX GRAPHS AND NETWORKS 2009 293pp
9780821848838 Paperback £41.95 / €48.00
Fan R. K. Chung & Linyuan Lu
2006 264pp Focuses on ergodic theory, combinatorics, and number
9780821836576 Paperback £57.95 / €67.00 theory. This book discusses a variety of topics, ranging from
CBMS Regional Conference Series in Mathematics, Vol. 107 developments in additive prime number theory to expository
articles on individual mathematical topics such as the law of
Based on lectures given at the CBMS Workshop on the large numbers and the Lucas-Lehmer test for Mersenne primes.
Combinatorics of Large Sparse Graphs, this work presents
fresh perspectives in graph theory and helps to contribute to a RAMSEY THEORY FOR PRODUCT SPACES
sound scientific foundation for our understanding of discrete
networks that permeate the information age. Pandelis Dodos & Vassilis Kanellopoulos
A co-publication of the AMS and CBMS 2016 245pp
9781470428082 Hardback £115.00 / €130.00
EXPERIMENTAL MATHEMATICS
Mathematical Surveys and Monographs, Vol. 212
V.I. Arnold
Translated by Dmitry Fuchs & Mark Saul This book is devoted to one of the most important areas of
2015 158pp Ramsey theory - the Ramsey theory of product spaces. It is a
9780821894163 Paperback £29.50 / €34.00 culmination of a series of recent breakthroughs by the two
authors and their students who were able to lift this theory
MSRI Mathematical Circles Library, Vol. 16 to the infinite-dimensional case. The book presents major
results and methods in the area, such as Szemeredi's regularity
Presents several new directions of mathematical research. All of method and the hypergraph removal lemma.
these directions are based on numerical experiments conducted
by the author, which led to new hypotheses that currently RAMSEY THEORY ON THE INTEGERS AM
remain open. The hypotheses range from geometry and Second Edition
topology to combinatorics to algebra and number theory.
Bruce M. Landman & Aaron Robertson
THE GAME OF COPS AND ROBBERS AM 2014 396pp
ON GRAPHS
9780821898673 Paperback £62.50 / €71.00
Anthony Bonato & Richard J. Nowakowski
2011 276pp Student Mathematical Library, Vol. 73
9780821853474 Paperback £48.95 / €56.00
Ramsey theory is the study of the structure of mathematical
Student Mathematical Library, Vol. 61 objects that is preserved under partitions. In its full generality,
Ramsey theory is quite powerful, but can quickly become
This book is the first to examine the topic of Cops and Robbers complicated. By limiting the focus of this book to Ramsey
games, and more generally, the field of vertex pursuit games on theory applied to the set of integers, the authors have
graphs. One of its main goals is to bring together the key results produced a gentle, but meaningful, introduction to an
in the field; as such, it presents structural, probabilistic, and important and enticing branch of modern mathematics.
algorithmic results on Cops and Robbers games.

16

GENERAL INTEREST

RUDIMENTS OF RAMSEY THEORY GALLERY OF THE INFINITE
Second Edition
Richard Evan Schwartz
Ron Graham & Steve Butler Dec 2016 187pp
2015 82pp 9781470425579 Paperback £24.95 / €29.00
9780821841563 Paperback £29.50 / €34.00
Gallery of the Infinite is a mathematician's unique view of
CBMS Regional Conference Series in Mathematics, Vol. 123 the infinitely many sizes of infinity. Written in a playful yet
informative style, it introduces important concepts from set
In every sufficiently large structure which has been partitioned theory (including the Cantor Diagonalization Method and
there will always be some well-behaved structure in one of the Cantor-Bernstein Theorem) using colourful pictures,
the parts. This takes many forms. For example, colourings with little text and almost no formulas.
of the integers by finitely many colours must have long
monochromatic arithmetic progressions; and colourings of the BESTSELLER
edges of large graphs must have monochromatic subgraphs
of a specified type. This book explores the basic results and REALLY BIG NUMBERS
variations of this theory.
Richard Evan Schwartz
STABLE MARRIAGE AND ITS AM 2014 192pp
RELATION TO OTHER 9781470414252 Paperback £19.95 / €24.00
COMBINATORIAL PROBLEMS
In the American Mathematical Society's first-ever book
Donald E. Knuth for kids (and kids at heart), mathematician and author
1996 74pp Richard Evan Schwartz leads math lovers of all ages on an
innovative and strikingly illustrated journey through the
9780821806036 Paperback £25.50 / €29.00 infinite number system. By means of engaging, imaginative
visuals and endearing narration, Schwartz manages the
CRM Proceedings & Lecture Notes, Vol. 10 monumental task of presenting the complex concept of Big
Numbers in fresh and relatable ways.
Uses the theory of stable marriage to introduce and illustrate
a variety of important concepts and techniques of computer BESTSELLER
science and mathematics: data structures, control structures,
combinatorics, probability, analysis, algebra, and especially the YOU CAN COUNT ON MONSTERS
analysis of algorithms. The First 100 Numbers and Their Characters

A co-publication of the AMS and Centre de Recherches Richard Evan Schwartz
Mathématiques 2015 242pp
9781470422097 Paperback £19.95 / €24.00
If you are a teaching academic or course
leader you may request up to three titles A unique teaching tool that takes math lovers on a journey
as FREE inspection copies (especially those designed to motivate kids (and kids at heart) to learn the
marked with the textbook icon) to consider as fun of factoring and prime numbers. This volume visually
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are designed to provide an intuitive understanding of the
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REALLY BIG NUMBERS AND YOU CAN

COUNT ON MONSTERS Save 20%
Two-Volume Set

2015 436pp

9781470422943 Paperback £32.50 / €39.00

PUSHING LIMITS
From West Point to Berkeley and Beyond

Ted Hill

See page 1 for details of this title

17

GEOMETRY & TOPOLOGY

BESTSELLERS CARTAN FOR BEGINNERS
Differential Geometry via Moving Frames and
THE CASE OF ACADEMICIAN NIKOLAI Exterior Differential Systems, Second Edition
NIKOLAEVICH LUZIN
Thomas A. Ivey & Joseph M. Landsberg
Edited by Sergei S. Demidov & Boris V. Levshin See page 3 for details of this title
2016 386pp
9781470426088 Hardback £59.95 / €69.00 ORDERED GROUPS AND TOPOLOGY
History of Mathematics, Vol. 43
Adam Clay & Dale Rolfsen
A campaign to ‘Sovietize' all sciences in the USSR took aim at See page 3 for details of this title
Nikolai Nikolaevich Luzin, the leader of the Soviet school of
mathematics, with an accusatory article published in Pravda. BESTSELLERS
This book contains the transcripts of the five 1936 meetings of
the commission of the Academy of Sciences who were charged COMPUTATIONAL TOPOLOGY AM
with investigating the accusations against Luzin. An Introduction

JOHN VON NEUMANN Herbert Edelsbrunner & John L. Harer
The Scientific Genius Who Pioneered the
Modern Computer, Game Theory, Nuclear 2010 241pp
Deterrence, and Much More
9780821849255 Hardback £63.50 / €72.00
Norman Macrae
1999 406pp Combining concepts from topology and algorithms, this book
9780821826768 Paperback £36.95 / €42.00 delivers what its title promises: an introduction to the field of
computational topology.
Presents the biography of John von Neumann, one of the
greatest scientists of the century after Einstein. This book DIFFERENTIAL GEOMETRY
discusses von Neumann's work in areas such as game theory, Curves - Surfaces - Manifolds,
mathematics, physics, and meteorology which formed Third Edition
the building blocks for the most important discoveries of
the century: the modern computer, game theory, and the Wolfgang Kuhnel
atom bomb. 2016 412pp
9781470423209 Paperback £49.95 / €57.00
WHAT'S HAPPENING IN THE
MATHEMATICAL SCIENCES, VOLUME 10 Student Mathematical Library, Vol. 77

Dana Mackenzie & Barry Cipra Offers an introduction to the beautiful ideas and results of
2015 111pp differential geometry. The first half covers the geometry of
9781470422042 Paperback £22.50 / €29.00 curves and surfaces, which provide much of the motivation
and intuition for the general theory. The second part studies
Offers a collection of articles highlighting some of the most the geometry of general manifolds, with particular emphasis
recent developments in mathematics. Articles include "Prime on connections and curvature. The text is illustrated with many
Clusters and Gaps: Out-Experting the Experts", and "The figures and examples.
Kadison-Singer Problem: A Fine Balance"; "Climate Past,
Present, and Future" and "The Truth Shall Set Your Fee". GEOMETRY AND THE IMAGINATION

D. Hilbert & S. Cohn-Vossen
1952 357pp
9780821819982 Hardback £46.95 / €54.00
AMS Chelsea Publishing, Vol. 87

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.

18

LOGIC & FOUNDATIONS

GRID HOMOLOGY FOR KNOTS AND LINKS THE TOOLS OF
MATHEMATICAL REASONING
Peter S. Ozsvath, Andras I. Stipsicz & Zoltan Szabo
2015 410pp Tamara J. Lakins
9781470417376 Hardback £115.00 / €130.00
Mathematical Surveys and Monographs, Vol. 208 See page 5 for details of this title

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

KNOTS, MOLECULES, AND AM BASIC SET THEORY
THE UNIVERSE
An Introduction to Topology A. Shen & N.K. Vereshchagin
2002 128pp
Erica Flapan 9780821827314 Paperback £26.50 / €31.00
Student Mathematical Library, Vol. 17
2015 386pp
Suitable for undergraduate students as well as professional
9781470425357 Hardback £70.50 / €81.00 mathematicians who want to finally find out what transfinite
induction is and why it is always replaced by Zorn's Lemma, this
Provides an elementary introduction to geometric topology text introduces the main subjects of 'naive' (nonaxiomatic) set
and its applications to chemistry, molecular biology, and theory: functions, cardinalities, ordered and well-ordered sets,
cosmology. It does not assume any mathematical or and operations on ordinals.
scientific background, sophistication, or even motivation to
study mathematics.

PERSISTENCE THEORY: FROM COMPUTABILITY THEORY AM
QUIVER REPRESENTATIONS TO
DATA ANALYSIS AM Rebecca Weber
2012 206pp
Steve Y. Oudot 9780821873922 Paperback £37.95 / €43.00
2015 218pp
Student Mathematical Library, Vol. 62
9781470425456 Hardback £115.00 / €130.00
Gives the reader a firm grounding in the fundamentals
Mathematical Surveys and Monographs, Vol. 209 of computability theory and an overview of currently
active areas of research, such as reverse mathematics and
Persistence theory emerged in the early 2000s as a new theory algorithmic randomness.
in the area of applied and computational topology. This book
provides a broad and modern view of persistence theory, PRINCIPLES OF MATHEMATICAL LOGIC
including its algebraic, topological, and algorithmic aspects. It
also elaborates on applications in data analysis. D. Hilbert & W. Ackermann
1950 172pp
QUANDLES AM 9780821820247 Hardback £34.95 / €40.00
An Introduction to the Algebra of Knots AMS Chelsea Publishing, Vol. 69

Mohamed Elhamdadi & Sam Nelson David Hilbert was particularly interested in the foundations
2015 248pp of mathematics. Among many other things, he is famous for
his attempt to axiomatize mathematics. This text presents his
9781470422134 Paperback £49.95 / €57.00 treatment of symbolic logic. It lays the groundwork for his later
work with Bernays.
Student Mathematical Library, Vol. 74

Provides an accessible introduction to quandle theory for SET THEORY
readers with a background in linear algebra. Important concepts
from topology and abstract algebra motivated by quandle Felix Hausdorff
theory are introduced along the way. Includes elementary 1957 352pp
self-contained treatments of topics such as group theory, 9780821838358 Hardback £46.95 / €54.00
cohomology, knotted surfaces and more. AMS Chelsea Publishing, Vol. 119

Presents various theorems of the theory of sets along with
complete proofs. This book discusses strengthening of
theorems, the simplification of proofs, and the removal of
unnecessary hypotheses.

19

MATHEMATICAL PHYSICS

IT’S ABOUT TIME MATHEMATICAL UNDERSTANDING AM
Elementary Mathematical Aspects of Relativity OF NATURE
Essays on Amazing Physical Phenomena and
Roger Cooke their Understanding by Mathematicians

See page 1 for details of this title V. I. Arnold

2014 167pp

BESTSELLERS 9781470417017 Paperback £29.50 / €34.00

COLLECTED PAPERS ON WAVE MECHANICS This collection of 39 short stories gives the reader a unique
Third Edition opportunity to take a look at the scientific philosophy of
Vladimir Arnold. Topics of the stories included range from
Erwin Schrödinger astronomy, to mirages, to motion of glaciers, to geometry of
1982 208pp mirrors and beyond.
9780821835241 Hardback £40.95 / €47.00
NAVIER-STOKES EQUATIONS
AMS Chelsea Publishing, Vol. 302 Theory and Numerical Analysis

The famous equation that bears Erwin Schrödinger's name Roger Temam
encapsulates his profound contributions to quantum 1984 408pp
mechanics using wave mechanics. This third, augmented 9780821827376 Hardback £69.50 / €79.00
edition of his papers on the topic contains the six original, AMS Chelsea Publishing, Vol. 343
famous papers in which Schrödinger created and developed the
subject of wave mechanics as published in the original edition. Presents a systematic treatment of results on the theory and
numerical analysis of the Navier-Stokes equations for viscous
MATHEMATICAL METHODS IN AM incompressible fluids.
QUANTUM MECHANICS
With Applications to Schrödinger Operators, PROBABILITY AND STATISTICAL PHYSICS
Second Edition IN ST. PETERSBURG

Gerald Teschl Edited by V. Sidoravicius & S. Smirnov
2016 478pp
2014 356pp 9781470422486 Hardback £125.00 / €140.00

9781470417048 Hardback £68.50 / €78.00 Proceedings of Symposia in Pure Mathematics, Vol. 91

Graduate Studies in Mathematics, Vol. 157 Brings the reader to the cutting edge of several important
directions of the contemporary probability theory. The authors
A brief, but self-contained, introduction to the mathematical are leading experts in the field and provide a panorama of
methods of quantum mechanics, with a view towards the field from the point of view of scientists who played, and
applications to Schrödinger operators. continue to play, a pivotal role in the development of the new
methods and ideas, interlinking it with geometry, complex
MATHEMATICAL METHODS OF AM analysis, and conformal field theory.
ELECTROMAGNETIC THEORY
QUANTUM FIELDS AND STRINGS
Kurt O. Friedrichs A Course for Mathematicians, Two-Volume Set
2014 145pp
9781470417116 Paperback £34.95 / €40.00 Edited by Pierre Deligne
1999 1501pp
Courant Lecture Notes, Vol. 25 9780821820148 Paperback £66.50 / €76.00

Provides a mathematically precise but intuitive introduction to Ideas from quantum field theory and string theory have had
classical electromagnetic theory and wave propagation, with a considerable impact on mathematics. In 1996-97 the Institute
brief introduction to special relativity. for Advanced Study (Princeton, NJ) organized a special year-
long program designed to teach mathematicians the basic
A co-publication of the AMS and the Courant Institute physical ideas which underlie the mathematical applications.
of Mathematical Sciences at New York These volumes are a written record of the program.

Special Note to AMS Members

AMS 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.

20

MATHEMATICS EDUCATION

RANDOM OPERATORS AM TEACHING
Disorder Effects on Quantum SCHOOL
Spectra and Dynamics MATHEMATICS:
ALGEBRA
Michael Aizenman & Simone Warzel
2016 320pp Hung-Hsi Wu
2016 283pp
9781470419134 Hardback £80.50 / €92.00 9781470427214 Hardback
£59.95 / €66.00
Graduate Studies in Mathematics, Vol. 168
A systematic exposition
Provides an introduction to the mathematical theory of of introductory school
disorder effects on quantum spectra and dynamics. algebra written specifically
for Common Core era
STRING-MATH 2012 teachers. The emphasis of
the exposition is to give a mathematically correct treatment
Edited by Ron Donagi et al of introductory algebra. For example, it explains the proper
2015 341pp use of symbols, why "variable" is not a mathematical
9780821894958 Hardback £125.00 / €140.00 concept, what an equation is, what equation-solving
means, why all parabolas are similar, and more.
Proceedings of Symposia in Pure Mathematics, Vol. 90
TEACHING SCHOOL MATHEMATICS:
Contains the proceedings of the conference String-Math 2012, PRE-ALGEBRA
held at the Hausdorff Center for Mathematics, Universitat
Bonn. Topics include super Riemann surfaces and their super Hung-Hsi Wu
moduli, generalized moonshine and K3 surfaces, the latest 2016 383pp
developments in supersymmetric and topological field theory, 9781470427207 Hardback £59.95 / €66.00
localization techniques, applications to knot theory, and
many more. A systematic exposition of a major part of the mathematics
of grades 5 to 8 (excluding statistics), written specifically
STRING-MATH 2014 for Common Core era teachers. It differs from other books
for teachers in that the mathematics is correct, in the sense
Edited by Vincent Bouchard et al that all the concepts are clearly and correctly defined, and a
2016 397pp grade-appropriate explanation (that is, proof) is given for
9781470419929 Hardback £125.00 / €140.00 every assertion.

Proceedings of Symposia in Pure Mathematics, Vol. 93 TEACHING SCHOOL MATHEMATICS:

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

Save more than 20%

2016 666pp, Two-Volume Set

9781470430009 Hardback £91.50 / €105.00

Also available by Hung-Hsi Wu

BESTSELLER

UNDERSTANDING NUMBERS
IN ELEMENTARY SCHOOL
MATHEMATICS

Hung-Hsi Wu
2011 551pp
9780821852606 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 21

ALGEBRAIC INEQUALITIES: NEW VISTAS GEOMETRY IN PROBLEMS

Titu Andreescu & Mark Saul Alexander Shen
2016 232pp
See page 6 for details of this title 9781470419219 Paperback £25.50 / €28.00
MSRI Mathematical Circles Library, Vol. 18
MOVING THINGS AROUND
Classical Euclidean geometry, with all its triangles, circles, and
Bowen Kerins et al inscribed angles, remains an excellent playground for high-
school mathematics students. This book contains more than
See page 7 for details of this title 750 (mostly) easy but non-trivial problems in all areas of plane
geometry and solutions for most of them, as well as additional
SOME APPLICATIONS OF problems for self-study. Each chapter also provides concise
GEOMETRIC THINKING reminders of basic notions used in the chapter.
A co-publication of the AMS and the Mathematical
Bowen Kerins et al Sciences Research Institute

See page 7 for details of this title HOW TO TEACH MATHEMATICS
Third Edition
BESTSELLERS
Steven G. Krantz
A DECADE OF THE BERKELEY 2015 146pp
MATH CIRCLE 9781470425524 Paperback £35.95 / €41.00
The American Experience, Volume I
This third edition is a lively and provocative tract on how to
Edited by Zvezdelina Stankova & Tom Rike teach mathematics in today's new world of online learning
2009 326pp tools and innovative teaching devices. The author guides the
9780821846834 Paperback £25.50 / €29.00 reader through the joys and pitfalls of interacting with modern
MSRI Mathematical Circles Library, Vol. 1 undergraduates - telling you explicitly what to do and what not
to do.
Presents possible paths to studying mathematics and
falling in love with it, via teaching two important skills: MATH CIRCLES FOR ELEMENTARY
thinking creatively while still obeying the rules, and making SCHOOL STUDENTS
connections between problems, ideas, and theories. Berkeley 2009 and Manhattan 2011
The book encourages you to apply the newly acquired
knowledge to problems and guides you along the way. Natasha Rozhkovskaya
A co-publication of the AMS and the Mathematical 2014 163pp
Sciences Research Institute 9781470416959 Paperback £25.50 / €29.00
MSRI Mathematical Circles Library, Vol. 13
A DECADE OF THE BERKELEY
MATH CIRCLE Introduces the basics of many important areas of modern
The American Experience, Volume II mathematics, including logic, symmetry, probability theory,
knot theory, cryptography, fractals, and number theory.
Edited by Zvezdelina Stankova & Tom Rike A co-publication of the AMS and the Mathematical
2015 364pp Sciences Research Institute
9780821849125 Paperback £25.50 / €29.00
MSRI Mathematical Circles Library, Vol. 14

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

22 NUMBER THEORY

MATH FROM THREE TO SEVEN BEURLING GENERALIZED NUMBERS
The Story of a Mathematical Circle
for Preschoolers Harold G. Diamond & Wen-Bin Zhang
Oct 2016 244pp
Alexander Zvonkin 9781470430450 Hardback £115.00 / €125.00
2011 300pp Mathematical Surveys and Monographs, Vol. 213
9780821868737 Paperback £25.50 / €29.00
MSRI Mathematical Circles Library, Vol. 5 Using both analytic and elementary methods, this book
presents many old and new theorems, including several of the
Provides a captivating account of a professional authors' results, and many examples of extremal behaviour of
mathematician's experiences conducting a math circle for g-number systems. The authors also give detailed accounts of
preschoolers in his apartment in Moscow in the 1980s. As the L2 PNT theorem of J.P. Kahane and of the example created
anyone who has taught or raised young children knows, with H.L. Montgomery, showing that additive structure is
mathematical education for little kids is a real mystery. This is a needed for proving the Riemann hypothesis.
narrative about what he did, what he tried, what worked, what
failed, but most important, what the children experienced. BESTSELLERS
A co-publication of the AMS and the Mathematical
Sciences Research Institute A COURSE IN ANALYTIC AM
NUMBER THEORY
A MOSCOW MATH CIRCLE
Week-by-week Problem Sets Marius Overholt
2015 371pp
Sergey Dorichenko 9781470417062 Hardback £80.50 / €92.00
2012 354pp
9780821868744 Paperback £25.50 / €29.00 Graduate Studies in Mathematics, Vol. 160
MSRI Mathematical Circles Library, Vol. 8
Offers an introduction to analytic number theory suitable for
Presents materials used during the course of one year in a beginning graduate students. It covers everything one expects
math circle organised by mathematics faculty at Moscow State in a first course in this field, such as growth of arithmetic
University, and also used at the mathematics magnet school functions, existence of primes in arithmetic progressions, and
known as Moscow School Number 57. the Prime Number Theorem.
A co-publication of the AMS and the Mathematical
Sciences Research Institute FERMAT'S LAST THEOREM
Basic Tools
PROBABILITY THROUGH ALGEBRA
Takeshi Saito
Bowen Kerins et al 2013 277pp
2015 176pp
9781470419257 Paperback £29.50 / €34.00 9780821898482 Paperback £49.95 / €57.00.
IAS/PCMI-The Teacher Program Series, Vol. 1
Translations of Mathematical Monographs. Vol. 243
Consists of a carefully sequenced collection of problem sets
designed to develop several interconnected mathematical The Proof
themes. The specific themes developed is to introduce readers
to the algebraic properties of expected value and variance 2015 234pp
through analysis of games, and to the use of generating 9780821898499 Paperback £54.95 / €63.00
functions and formal algebra as combinatorial tools.
A co-publication of the AMS and IAS/Park City Translations of Mathematical Monographs, Vol. 245
Mathematics Institute
Two-Volume Set Save more than 15%

2015 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.

23

PROBABILITY & STATISTICS

INTRODUCTION TO ANALYTIC AND LARGE DEVIATIONS
PROBABILISTIC NUMBER THEORY
Third Edition S.R.S. Varadhan

Gérald Tenenbaum See page 3 for details of this title
2015 641pp
9780821898543 Hardback £90.50 / €105.00 BESTSELLERS
Graduate Studies in Mathematics, Vol. 163
ASYMPTOPIA
Provides a self contained, thorough introduction to the analytic
and probabilistic methods of number theory. The prerequisites Joel Spencer
being reduced to classical contents of undergraduate courses, with Laura Florescu
it offers to students and young researchers a systematic and 2014 195pp
consistent account on the subject. 9781470409043 Paperback £39.95 / €46.00
Student Mathematical Library, Vol. 71
LECTURES ON THE RIEMANN
ZETA FUNCTION Asymptotics in one form or another are part of the landscape
for every mathematician. The objective of this book is to
H. Iwaniec present the ideas of how to approach asymptotic problems
2014 119pp that arise in discrete mathematics, analysis of algorithms, and
9781470418519 Paperback £40.95 / €47.00 number theory. A broad range of topics is covered, including
University Lecture Series, Vol. 62 distribution of prime integers, Erdős Magic, random graphs,
Ramsey numbers, and asymptotic geometry.
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.

RAMANUJAN
Twelve Lectures on Subjects Suggested by His
Life and Work

G.H. Hardy
1991 254pp
9780821820230 Hardback £41.95 / €48.00
AMS Chelsea Publishing, Vol. 136

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 CHALLENGE
The 3x+1 Problem

Edited by Jeffrey C. Lagarias
2011 344pp
9780821849408 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.

24 PROBABILITY & STATISTICS

CONTINUOUS TIME MARKOV PROCESSES AN INTRODUCTION TO AM
An Introduction STOCHASTIC DIFFERENTIAL
EQUATIONS
Thomas M. Liggett
2010 271pp Lawrence C. Evans
9780821849491 Hardback £58.95 / €68.00
Graduate Studies in Mathematics, Vol. 113 2014 151pp

Markov processes are among the most important stochastic 9781470410544 Hardback £34.95 / €40.00
processes for both theory and applications. This book develops
the general theory of these processes, and applies this theory to Provides a quick, but very readable introduction to stochastic
various special examples. differential equations - that is, to differential equations subject
to additive "white noise" and related random disturbances.
A COURSE ON LARGE DEVIATIONS WITH The exposition is strongly focused upon the interplay between
AN INTRODUCTION TO GIBBS MEASURES probabilistic intuition and mathematical rigour.

Firas Rassoul-Agha & Timo Seppalainen MARKOV CHAINS AND
2015 314pp MIXING TIMES
9780821875780 Hardback £80.50 / €92.00
Graduate Studies in Mathematics, Vol. 162 David A. Levin, Yuval Peres & Elizabeth L. Wilmer
2009 371pp
Presents an introductory course on the methods of computing 9780821847398 Hardback £72.50 / €83.00
asymptotics of probabilities of rare events: the theory of large
deviations. The book combines large deviation theory with Presents an introduction to the modern approach to the theory
basic statistical mechanics, namely Gibbs measures with their of Markov chains. This book intends to determine the rate of
variational characterization and the phase transition of the Ising convergence of a Markov chain to the stationary distribution as
model, in a text intended for a one semester or quarter course. a function of the size and geometry of the state space.

FOKKER-PLANCK-KOLMOGOROV PROBABILITY THEORY
EQUATIONS S.R.S Varadhan

Vladimir I. Bogachev et al 2001 167pp
2016 489pp 9780821828526 Paperback £28.50 / €33.00
9781470425586 Hardback £115.00 / €130.00 Courant Lecture Notes, Vol. 7
Mathematical Surveys and Monographs, Vol. 207
Presents topics in probability theory covered during a first-year
Gives an exposition of the principal concepts and results related graduate course given at the Courant Institute of Mathematical
to second order elliptic and parabolic equations for measures, Sciences, USA. The necessary background material in measure
the main examples of which are Fokker-Planck-Kolmogorov theory is developed, including all the standard topics.
equations for stationary and transition probabilities of diffusion A co-publication of the AMS and the Courant Institute
processes. Existence and uniqueness of solutions are studied of Mathematical Sciences at New York University
along with existence and Sobolev regularity of their densities
and upper and lower bounds for the latter. TOPICS IN RANDOM MATRIX THEORY

Terence Tao
2012 291pp
9780821874301 Hardback £65.50 / €75.00

Graduate Studies in Mathematics, Vol. 132

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.

25

CONTEMPORARY MATHEMATICS

Algebra & Algebraic Geometry CATEGORIFICATION IN RECENT PROGRESS ON
GEOMETRY, TOPOLOGY, OPERATOR THEORY AND
RECENT DEVELOPMENTS IN AND PHYSICS APPROXIMATION IN SPACES
REPRESENTATION THEORY OF ANALYTIC FUNCTIONS
Edited by Anna Beliakova &
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£110.00 / €125.00 Contemporary Mathematics, Vol. 684 Contemporary Mathematics, Vol. 679
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Analysis ANALYSIS AND GEOMETRY
NONCOMMUTATIVE IN SEVERAL COMPLEX
GEOMETRY AND OPERATOR ALGEBRAS AND VARIABLES
OPTIMAL TRANSPORT THEIR APPLICATIONS
A Tribute to Richard V. Kadison Edited by Shiferaw Berhanu, Nordine Mir
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Differential Equations
ALGEBRA AND TOPICS IN FUNCTIONAL
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REPRESENTATION THEORY INFLUENCE OF
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Contemporary Mathematics, Vol. 678

26 CONTEMPORARY MATHEMATICS

Geometry & Topology PHYSICS AND MATHEMATICS Number Theory
OF LINK HOMOLOGY
KNOT THEORY AND ADVANCES IN
ITS APPLICATIONS Edited by Sergei Gukov, Mikhail Khovanov NON-ARCHIMEDEAN
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Mathématiques. Contemporary Mathematics, Vol. 665
RECENT ADVANCES
IN THE GEOMETRY MANIFOLDS AND K-THEORY DYNAMICS AND NUMBERS
OF SUBMANIFOLDS
Dedicated to the Memory of Edited by Gregory Arone et al Edited by SergiˇI Kolyada et al
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Contemporary Mathematics, Vol. 676 Contemporary Mathematics, Vol. 668

27

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Algebra & Algebraic Geometry IMAGINARY RECTIFIABLE MEASURES,
SCHUR-WEYL DUALITY SQUARE FUNCTIONS
DESCENT CONSTRUCTION INVOLVING DENSITIES, AND
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Memoirs of the American Mathematical Memoirs of the American Mathematical
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FANO THREEFOLD
REAL NON-ABELIAN HYPERSURFACES LP-SQUARE FUNCTION
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28 MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Differential Equations Discrete Mathematics & Logic & Foundations
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CARLEMAN ESTIMATES, NEW FOUNDATIONS FOR
OBSERVABILITY PROOF OF THE GEOMETRY–TWO
INEQUALITIES AND NULL 1-FACTORIZATION AND NON-ADDITIVE
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Memoirs of the American Mathematical Geometry & Topology Number Theory
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LAYER POTENTIALS ABELIAN PROPERTIES OF ON DWORK’S P-ADIC
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COMPETITION MODEL: 9781470422585 Paperback
A BIFURCATION APPROACH £76.50 / €84.00
Memoirs of the American Mathematical
Isabel Averill, King-Yeung Lam & Yuan Lou Society, Vol. 246, No. 1165
Jan 2017 106pp
9781470422028 Paperback
£76.50 / €84.00

Memoirs of the American Mathematical
Society, Vol. 245, No. 1161

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