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MATHEMATICS

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1 HIGHLIGHT

HIGHLIGHT

GAME THEORY GAME THEORY, ALIVE

A Playful Introduction Anna R. Karlin & Yuval Peres

Matt DeVos & Deborah A. Kent

Apr 2017 396pp

Feb 2017 360pp

9781470419820 Hardback £76.50 / €87.00

9781470422103 Paperback £49.95 / €57.00

Student Mathematical Library, Vol. 80 Presents a rigorous introduction to the

mathematics of game theory without losing sight

Offers a gentle introduction to the mathematics of the joy of the subject. This is done by focusing

of both sides of game theory: combinatorial and on theoretical highlights and by presenting

classical. The combination allows for a dynamic exciting connections of game theory to other

and rich tour of the subject united by a common fields such as computer science, economics, social

theme of strategic reasoning. choice, biology, and learning theory. Both classical

topics and modern topics are covered.

With ample material and limited dependencies

between the chapters, the book is adaptable to a American Mathematical Society

variety of situations and a range of audiences.

American Mathematical Society

2

American Mathematical Society CARTAN FOR BEGINNERS

ALGEBRAIC INEQUALITIES: Differential Geometry via Moving

NEW VISTAS Frames and Exterior Differential

Systems, Second Edition

Titu Andreescu & Mark Saul Thomas A. Ivey & Joseph M. Landsberg

Dec 2016 126pp

9781470434649 Paperback £41.95 / €48.00 Dec 2016 455pp

MSRI Mathematical Circles Library, Vol. 19

9781470409869 Hardback £90.50 / €105.00

This book starts with simple arithmetic inequalities and Graduate Studies in Mathematics, Vol. 175

builds to sophisticated inequality results such as the

Cauchy-Schwarz and Chebyshev inequalities. Nothing Two central aspects of Cartan’s approach to differential

beyond high school algebra is required of the student. geometry are the theory of exterior differential systems

The exposition is lean. Most of the learning occurs as the (EDS) and the method of moving frames. This book

student engages in the problems posed in each chapter. presents thorough and modern treatments of both

And the learning is not “linear”. subjects, including their applications to both classic and

contemporary problems in geometry.

ALGEBRA IN ACTION

CATEGORIFICATION AND HIGHER

A Course in Groups, Rings, and Fields REPRESENTATION THEORY

Shahriar Shahriari

Development of Moduli Theory - Kyoto 2013

Apr 2017 655pp Edited by Osamu Fujino et al

9781470428495 Hardback £120.00 / €135.00

Pure and Applied Undergraduate Texts, Vol. 27 Oct 2016 537pp

Provides a readable, student-friendly, and somewhat 9784864970327 Hardback £175.00 / €200.00

sophisticated introduction to abstract algebra. It is Advanced Studies in Pure Mathematics, Vol. 69

aimed at sophomore or junior undergraduates who

are seeing the material for the first time. In addition Contains the proceedings of the 6th Mathematical

to the usual definitions and theorems, there is ample Society of Japan Seasonal Institute Development of

discussion to help students build intuition and learn Moduli Theory, which was held as the Seasonal Institute

how to think about the abstract concepts. 2013, with support from the Mathematical Society of

Japan and the 2013 Research Project of the Research

BEURLING GENERALIZED NUMBERS Institute of Mathematical Science, Kyoto University. This

volume consists of five survey articles and eight research

Harold G. Diamond & Wen-Bin Zhang articles.

Oct 2016 244pp Mathematical Society of Japan

9781470430450 Hardback £115.00 / €130.00

Mathematical Surveys and Monographs, Vol. 213 DIFFERENTIAL GALOIS THEORY

THROUGH RIEMANN-HILBERT

Using both analytic and elementary methods, this CORRESPONDENCE

book presents many old and new theorems, including

several of the authors’ results, and many examples of An Elementary Introduction

extremal behaviour of g-number systems. The authors Jacques Sauloy

also give detailed accounts of the $L^2$ PNT theorem

of J.P. Kahane and of the example created with H.L. Feb 2017 279pp

Montgomery, showing that additive structure is needed

for proving the Riemann hypothesis. 9781470430955 Hardback £90.50 / €105.00

Graduate Studies in Mathematics, Vol. 177

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. A large variety of

examples, exercises, and theoretical constructions offers

an accessible entry into this exciting area.

3

GAME THEORY, ALIVE MINIMAL MODELS AND EXTREMAL

RAYS

Anna R. Karlin & Yuval Peres

Apr 2017 396pp Edited by Janos Kollar et al

9781470419820 Hardback £76.50 / €87.00

Feb 2017 420pp

For full details of this title, see page 1.

9784864970365 Hardback £155.00 / €180.00

GAME THEORY Advanced Studies in Pure Mathematics, Vol. 70

A Playful Introduction The conference on Minimal Models and Extremal Ray

Matt DeVos & Deborah A. Kent was held at the Research Institute for Mathematical

Sciences (RIMS) at Kyoto University in 2011. This

Feb 2017 360pp volume contains the proceedings of this conference

9781470422103 Paperback £49.95 / €57.00 and consists of one survey article on the mathematical

Student Mathematical Library, Vol. 80 work of Shigefumi Mori, who turned sixty in 2011, and

thirteen research papers presented by the authors.

For full details of this title, see page 1. Mathematical Society of Japan

LARGE DEVIATIONS ON GROUPS OF

PL-HOMEOMORPHISMS OF

S.R.S. Varadhan THE REAL LINE

Dec 2016 104pp

9780821840863 Paperback £36.95 / €42.00 Robert Bieri & Ralph Strebel

Courant Lecture Notes, Vol. 27

Dec 2016 174pp

The theory of large deviations deals with rates at

which probabilities of certain events decay as a natural 9781470429010 Hardback £115.00 / €130.00

parameter in the problem varies. This book focuses on Mathematical Surveys and Monographs, Vol. 215

three concrete sets of examples: diffusions with small

noise and the exit problem; large time behaviour of Richard Thompson’s famous group F has the

Markov processes and their connection to the Feynman- striking property that it can be realized as a dense

Kac formula; and interacting particle systems, their subgroup of the group of all orientation-preserving

scaling limits, and large deviations from their expected homeomorphisms of the unit interval, but it can also be

limits. given by a simple 2-generator-2-relator presentation.

This monograph studies a natural generalization of $F$

LECTURES ON CHEVALLEY GROUPS that also includes Melanie Stein’s generalized F-groups.

Robert Steinberg ORDERED GROUPS AND TOPOLOGY

Feb 2017 157pp

9781470431051 Paperback £35.95 / €41.00 Adam Clay & Dale Rolfsen

University Lecture Series, Vol. 66

Dec 2016 154pp

Robert Steinberg’s Lectures on Chevalley Groups were

delivered and written during the author’s sabbatical 9781470431068 Hardback £80.50 / €92.00

visit to Yale University in the 1967-1968 academic year. Graduate Studies in Mathematics, Vol. 176

The work presents the status of the theory of Chevalley

groups as it was in the mid-1960s. This material was Deals with the connections between topology and

instrumental in many areas of mathematics. ordered groups. This volume begins with a self-

contained introduction to orderable groups and from

there explores the interactions between orderability

and objects in low-dimensional topology. The book

also addresses recent applications of orderability in the

studies of codimension-one foliations and Heegaard-

Floer homology.

4

QUIVER REPRESENTATIONS AND TENSOR CATEGORIES

QUIVER VARIETIES

Pavel Etingof et al

Alexander Kirillov Oct 2016 344pp

9781470434410 Paperback £66.50 / €76.00

Oct 2016 295pp Mathematical Surveys and Monographs, Vol. 205

9781470423070 Hardback £90.50 / €105.00 Is there a vector space whose dimension is the golden

Graduates Studies in Mathematics, Vol. 174 ratio? Of course not - the golden ratio is not an integer!

But this can happen for generalizations of vector spaces

Provides an introduction to the theory of quiver - objects of a tensor category. The theory of tensor

representations and quiver varieties, starting with basic categories is a relatively new field of mathematics that

definitions and ending with Nakajima’s work on quiver generalizes the theory of group representations. This

varieties and the geometric realization of Kac-Moody book gives a systematic introduction to this theory and

Lie algebras. The exposition in the book requires only a review of its applications.

a basic knowledge of algebraic geometry, differential

geometry, and the theory of Lie groups and Lie algebras. THE TOOLS OF

MATHEMATICAL

SCHOOL ON REAL AND COMPLEX REASONING

SINGULARITIES IN SAO CARLOS, 2012

Tamara J. Lakins

Edited by Raimundo Nonato Araujo dos Santos et al Oct 2016 217pp

9781470428990 Hardback

Oct 2016 373pp £70.50 / €81.00

Pure and Applied Undergraduate

9784864970303 Hardback £130.00 / €150.00 Texts, Vol. 26

Advanced Studies in Pure Mathematics, Vol. 68

Offers beginning undergraduate

Topics treated in this volume cover a wide range, mathematics students a first exposure to introductory

including topology and geometry of real singularities, logic, proofs, sets, functions, number theory, relations,

singularities of holomorphic map-germs, singularities finite and infinite sets, and the foundations of analysis. The

of complex algebraic sets, algorithms of the computer book provides students with a quick path to writing proofs

algebra “SINGULAR”, singularities of maps and and a practical collection of tools that they can use in later

characteristic classes, and limit cycles of systems of mathematics courses such as abstract algebra and analysis.

ordinary differential equations.

Mathematical Society of Japan Hindustan Book Agency

SHOCK FORMATION IN SMALL-DATA THEORY OF SEMIGROUPS AND

SOLUTIONS TO 3D QUASILINEAR APPLICATIONS

WAVE EQUATIONS

Kalyan B. Sinha & Sachi Srivastava

Jared Speck Apr 2017 180pp

9789386279637 Hardback £38.50 / €44.00

Feb 2017 518pp Texts and Readings in Mathematics, Vol. 74

9781470428570 Hardback £115.00 / €130.00 Combines the spirit of a textbook with that of a

Mathematical Surveys and Monographs, Vol. 214 monograph on the topic of Semigroups and their

applications. It has potential uses across a broad

Serge Alinhac’s groundbreaking work on wave spectrum including operator theory, partial differential

equations in the late 1990s was the first to treat equations, harmonic analysis, probability and statistics

more than one spatial dimension. In 2007, for the and classical and quantum mechanics.

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.

5

IGI Global FINITE GROUPS

FUZZY SYSTEMS An Introduction

Jean-Pierre Serre

Concepts, Methodologies, Tools, and

Applications Dec 2016 190pp

Edited by Information Resources Management 9781571463272 Hardback £89.50 / €105.00

Association

Finite group theory is a topic remarkable for the

Apr 2017 1500pp, three volumes simplicity of its statements and the difficulty of its

9781522519089 Hardback £1605.00 / €1860.00 proofs. It is used in an essential way in several branches

of mathematics - for instance, in number theory. This

A comprehensive reference source on the latest scholarly book offers a short introduction to the subject, written

research and developments in fuzzy rule-based methods both for beginners and for mathematicians at large.

and examines both theoretical foundations and real-

world utilization of these logic sets. This publication ISEAS Publishing

features a range of extensive coverage across innovative

topics, such as fuzzy logic, rule-based systems, and fuzzy THE CONTINUATION OF ANCIENT

analysis. MATHEMATICS

THEORETICAL AND PRACTICAL Wang Xiaotong’s “Jigu suanjing”, Algebra

ADVANCEMENTS FOR FUZZY and Geometry in 7th-Century China

SYSTEM INTEGRATION Tina Su-lyn Lim & Donald B. Wagner

Edited by Deng-Feng Li Jun 2017 200pp, 43 b&w illustrations, mainly line drawings

Mar 2017 270pp 9788776942175 Paperback £26.95 / €31.00

9781522518488 Hardback £200.00 / €225.00

Advances in Computational Intelligence and Robotics Shows us a stage in the development from the 1st to

the 14th century CE of the Chinese traditional algebra

Presents the latest scholarly research on the importance of polynomials. Lim and Wagner’s in-depth study brings

of expressing and measuring fuzziness in order to this work to an audience unfamiliar with the history and

develop effective and practical decision making models particulars of Chinese mathematical knowledge. Their

and methods. Featuring coverage on an expansive range worked examples also illuminate the text and invite

of perspectives and topics, such as fuzzy logic control, comparison with the work of medieval mathematicians

intuitionistic fuzzy set theory, and defuzzification, this in the Middle East and Europe.

book is designed for academics, professionals, and Nordic Institute of Asian Studies

researchers.

Morgan & Claypool Publishers

International Press of Boston, Inc

THE FUNDAMENTALS OF ANALYSIS

CURRENT DEVELOPMENTS IN FOR TALENTED FRESHMEN

MATHEMATICS, 2015

Peter M. Luthy, Guido L. Weiss & Steven S. Xiao

Edited by David Jerison et al Aug 2016 98pp

Feb 2017 192pp 9781627054577 Paperback £40.50 / €46.00

9781571463319 Paperback £79.50 / €91.00 Synthesis Lectures on Mathematics and Statistics

This volume consists of papers based on selected This book assumes students know some of the basic

lectures given at the Current Development Mathematics facts about Calculus. It is rigorous and exposes them

Conference, held in November 2015 at Harvard to the proofs and the ideas which produce them. It

University. presents a way of thinking about mathematics that will

make it much easier to learn more of this subject and

be a good preparation for more of the undergraduate

curriculum.

6

INTRODUCTION TO LOGIC PRISTINE LANDSCAPES IN

ELEMENTARY MATHEMATICS

Third Edition

Michael Genesereth & Eric J. Kao Titu Andreescu

Feb 2017 280pp

Nov 2016 177pp 9780996874571 Hardback £60.50 / €69.00

9781627056366 Paperback £60.50 / €69.00

Synthesis Lectures on Computer Science Takes familiar ideas and extends them to a rich

variety of problems. The topics covered span algebra,

Provides a gentle but rigorous introduction to Formal geometry, number theory, and even a few elements

Logic. Like many other books on logic, this one covers of mathematical analysis. The “landscapes” presented

logical syntax and semantics and proof theory plus provide a “view” into areas that are not typically

induction. However, unlike other books, it begins with encountered in great depth in standard coursework but

Herbrand semantics rather than the more traditional nonetheless have profound implications.

Tarskian semantics. This approach makes the material

considerably easier for students to understand. BESTSELLERS

PHI Learning

MATRIX AND LINEAR ALGEBRA American Mathematical Society

Aided with MATLAB, Third Edition ADVANCED CALCULUS

Kanti Bhushan Datta

Second Edition

Nov 2016 720pp Patrick M. Fitzpatrick

9788120352865 Paperback £23.95 / €29.00

2009 590pp, illustrations

With the inclusion of applications of singular value 9780821847916 Hardback £88.50 / €105.00

decomposition (SVD) and principal component analysis Pure and Applied Undergraduate Texts, Vol. 5

(PCA) to image compression and data analysis, this

textbook provides a strong foundation of linear algebra Suitable as a text for courses that furnish the

needed for a higher study in signal processing. It covers backbone of the student’s undergraduate education

the use of MATLAB in the study of linear algebra for a in mathematical analysis, this book presents the

variety of computational purposes and programmes. fundamental concepts within the context of examples

and exercises.

XYZ Press

ADVANCED MODERN ALGEBRA

112 COMBINATORIAL PROBLEMS

FROM THE AWESOMEMATH Third Edition, Part I

SUMMER PROGRAM Joseph J. Rotman

Vlad Matei 2015 709pp

Feb 2017 196pp 9781470415549 Hardback £90.50 / €105.00

9780996874526 Hardback £60.50 / €69.00 Graduate Studies in Mathematics, Vol. 165

Gives students a chance to begin exploring some Consists of two courses: Galois theory and Module

introductory to intermediate topics in combinatorics, theory. Topics in the second course are Zorn’s lemma,

a fascinating and accessible branch of mathematics canonical forms, inner product spaces, categories and

centred around (among other things) counting various limits, tensor products, projective, injective, and flat

objects and sets. This book includes chapters featuring modules, multilinear algebra, affine varieties, and

tools for solving counting problems, proof techniques, Grobner bases.

and more to give students a broad foundation to

build on.

7

ALGEBRAIC SPACES AND STACKS COMBINATORICS

AND RANDOM

Martin Olsson MATRIX THEORY

2016 299pp

9781470427986 Hardback £105.00 / €115.00 Jinho Baik, Percy Deift &

Colloquium Publications, Vol. 62 Toufic Suidan

2016 461pp

Provides an introduction to the theory of algebraic 9780821848418 Hardback

spaces and stacks intended for graduate students and £90.50 / €105.00

researchers familiar with algebraic geometry at the level Graduate Studies in

of a first-year graduate course. Mathematics, Vol. 172

ANALYSIS Analyses in detail Ulam’s problem for increasing

subsequences of random permutations, and domino

Elliott H. Lieb & Michael Loss tilings of the Aztec diamond. Other examples are also

2001 348pp described along the way, but in less detail.

9780821827833 Hardback £48.95 / €56.00

Graduate Studies in Mathematics, Vol. 14 A COMPREHENSIVE COURSE

IN ANALYSIS

Presents the concepts and tools to solve problems of

analysis, and shows how to apply these concepts to Barry Simon

research in a variety of areas. This work covers the min- Part 1: Real Analysis

max principle, semi-classical approximation, coherent 2015 789pp

states and Lieb-Thirring inequalities. 9781470410995 Hardback £85.00 / €105.00

Part 2A: Basic Complex Analysis

CLASSICAL MECHANICS WITH 2015 641pp

CALCULUS OF VARIATIONS AND 9781470411008 Hardback £85.00 / €105.00

OPTIMAL CONTROL Part 2B: Advanced Complex Analysis

2015 321pp

An Intuitive Introduction 9781470411015 Hardback £85.00 / €105.00

Mark Levi Part 3: Harmonic Analysis

2015 759pp

2014 316pp 9781470411022 Hardback £85.00 / €105.00

9780821891384 Paperback £42.95 / €49.00 Part 4: Operator Theory

Student Mathematical Library, Vol. 69 2015 749pp

9781470411039 Hardback £85.00 / €105.00

This is an intuitively motivated presentation of many 5 Volume Set

topics in classical mechanics and related areas of control 2015 3259pp

theory and calculus of variations. 9781470410988 Hardback £315.00 / €390.00

COLORED OPERADS Written by Poincaré Prize winner Barry Simon, these

five-volumes serve as graduate-level analysis textbooks

Donald Yau with a lot of additional bonus information, including

2016 428pp hundreds of problems and numerous notes that extend

9781470427238 Hardback £90.50 / €105.00 the text and provide important historical background.

Graduate Studies in Mathematics, Vol. 170

Explores the theory of operads and coloured operads,

sometimes called symmetric multicategories. Topics

covered include basic graph theory, basic category

theory, coloured operads, and algebras over coloured

operads.

8

COMPUTATIONAL TOPOLOGY EXPERIMENTAL MATHEMATICS

An Introduction V.I. Arnold

Herbert Edelsbrunner & John L. Harer 2015 158pp

9780821894163 Paperback £29.50 / €34.00

2010 241pp MSRI Mathematical Circles Library, Vol. 16

9780821849255 Hardback £63.50 / €72.00

Presents several new directions of mathematical

Combining concepts from topology and algorithms, this research. All of these directions are based on numerical

book delivers what its title promises: an introduction experiments conducted by the author, which led to new

to the field of computational topology. It covers hypotheses that currently remain open. The hypotheses

motivating problems in both mathematics and range from geometry and topology to combinatorics to

computer science. algebra and number theory.

DIFFERENTIABLE DYNAMICAL A FIRST COURSE IN THE

SYSTEMS CALCULUS OF VARIATIONS

An Introduction to Structural Stability and Mark Kot

Hyperbolicity 2014 298pp

Lan Wen 9781470414955 Paperback £50.95 / €58.00

Student Mathematical Library, Vol. 72

2016 199pp

9781470427993 Hardback £80.50 / €92.00 This book is intended for a first course in the calculus

Graduate Studies in Mathematics, Vol. 173 of variations, at the senior or beginning graduate level.

The text lays out important necessary and sufficient

Starting with the basic concepts of dynamical systems, conditions for extrema in historical order, and it

analysing the historic systems of the Smale horseshoe, illustrates these conditions with numerous worked-out

Anosov toral automorphisms, and the solenoid examples.

attractor, this book develops the hyperbolic theory

first for hyperbolic fixed points and then for general FOKKER-PLANCK-KOLMOGOROV

hyperbolic sets. EQUATIONS

DIFFERENTIAL GEOMETRY Vladimir I. Bogachev et al

2015 489pp

Curves - Surfaces - Manifolds, 9781470425586 Hardback £115.00 / €130.00

Third Edition Mathematical Surveys and Monographs, Vol. 207

Wolfgang Kuhnel

Gives an exposition of the principal concepts and results

2015 412pp related to second order elliptic and parabolic equations

9781470423209 Paperback £49.95 / €57.00 for measures, the main examples of which are Fokker-

Student Mathematical Library, Vol. 77 Planck-Kolmogorov equations for stationary and

transition probabilities of diffusion processes.

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.

9

FOURIER ANALYSIS AND GEOMETRY IN PROBLEMS

ITS APPLICATI ONS

Alexander Shen

Gerald B. Folland 2016 232pp

2009 433pp 9781470419219 Paperback £25.50 / €29.00

MSRI Mathematical Circles Library, Vol. 18

9780821847909 Hardback £77.50 / €89.00

Pure and Applied Undergraduate Texts, Vol. 4 Classical Euclidean geometry, with all its triangles,

circles, and inscribed angles, remains an excellent

Presents the theory and applications of Fourier series playground for high-school mathematics students.

and integrals, eigenfunction expansions, and related This book contains more than 750 (mostly) easy but

topics, on a level suitable for advanced undergraduates. non-trivial problems in all areas of plane geometry and

This title includes material on Bessel functions, solutions for most of them.

orthogonal polynomials, and Laplace transforms.

HOW TO TEACH MATHEMATICS

GALOIS THEORIES OF LINEAR

DIFFERENCE EQUATIONS Third Edition

Steven G. Krantz

An Introduction

Charlotte Hardouin, Jacques Sauloy & Michael F. Singer 2015 146pp

9781470425524 Paperback £35.95 / €41.00

2016 171pp

A lively and provocative tract on how to teach

9781470426552 Hardback £115.00 / €130.00 mathematics in today’s new world of online learning

Mathematical Surveys and Monographs, Vol. 211 tools and innovative teaching devices. The author

guides the reader through the joys and pitfalls of

Presents three introductory tutorials coming out of interacting with modern undergraduates - telling you

three courses given at the CIMPA Research School explicitly what to do and what not to do.

“Galois Theory of Difference Equations” in 2012. The

aim of these tutorials is to introduce the reader to three AN INTRODUCTION TO

Galois theories of linear difference equations and their DYNAMICAL SYSTEMS

interrelations.

Continuous and Discrete, Second Edition

GEOMETRY AND THE IMAGINATION R. Clark Robinson

D. Hilbert & S. Cohn-Vossen 2016 733pp

1952 357pp, Illustrations 9780821891353 Hardback £94.50 / €110.00

Pure and Applied Undergraduate Texts, Vol. 19

9780821819982 Hardback £46.95 / €54.00

AMS Chelsea Publishing, Vol. 87 Provides a mathematical treatment of the introduction

to qualitative differential equations and discrete

Suitable for beginners and experienced mathematicians, dynamical systems. The treatment includes theoretical

this book begins with examples of the simplest curves proofs, methods of calculation, and applications.

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.

10

AN THE KNOT BOOK

INTRODUCTION

TO MEASURE An Elementary Introduction to the

THEORY Mathematical Theory of Knots

Colin Adams

Terence Tao

2011 206pp 2004 277pp

9780821869192 Hardback 9780821836781 Paperback £34.95 / €40.00

£56.95 / €65.00

Graduate Studies in Knots are familiar objects. Yet the mathematical theory

Mathematics, Vol. 126 of knots quickly leads to deep results in topology and

geometry. This work offers an introduction to this

Introduces the fundamentals of measure theory theory. It presents the applications of knot theory to

and integration theory. It focuses first on the modern chemistry, biology and physics.

concrete setting of Lebesgue measure and the

Lebesgue integral, before moving on to abstract KNOTS, MOLECULES, AND

measure and integration theory, including the THE UNIVERSE

standard convergence theorems, Fubini’s theorem,

and the Caratheodory extension theorem. An Introduction to Topology

Erica Flapan

TOPICS IN RANDOM

MATRIX THEORY 2015 386pp

9781470425357 Hardback £70.50 / €81.00

Terence Tao

2012 291pp Provides an elementary introduction to geometric

9780821874301 Hardback £65.50 / €75.00 topology and its applications to chemistry, molecular

Graduate Studies in Mathematics, Vol. 132 biology, and cosmology. It is meant to be fun and

engaging while drawing students in to learn about

The field of random matrix theory has seen fundamental topological and geometric ideas.

an explosion of activity in recent years, with

connections to many areas of mathematics and LECTURES AND PROBLEMS

physics. This graduate text focuses on one specific

sector of the field, namely the spectral distribution A Gift to Young Mathematicians

of random Wigner matrix ensembles, as well as iid V.I. Arnold

matrix ensembles.

2015 176pp

INTRODUCTION TO 9781470422592 Paperback £29.50 / €34.00

TROPICAL GEOMETRY MSRI Mathematical Circles Library, Vol. 17

Diane Maclagan & Bernd Sturmfels Vladimir Arnold (1937-2010) was one of the great

2015 364pp mathematical minds of the late 20th century. He did

9780821851982 Hardback £80.50 / €92.00 significant work in many areas of the field. This book

Graduate Studies in Mathematics, Vol. 161 contains some examples of Arnold’s contributions to

the genre.

Tropical geometry is a young subject that has

undergone a rapid development since the beginning

of the 21st century. This book offers a self-contained

introduction to tropical geometry, suitable as a course

text for beginning graduate students.

11

LECTURES ON THE RIEMANN ZETA MATRIX GROUPS FOR

FUNCTION UNDERGRADUATES

H. Iwaniec Second Edition

2014 119pp Kristopher Tapp

9781470418519 Paperback £40.95 / €47.00 2016 239pp

University Lecture Series, Vol. 62 9781470427221 Paperback £49.95 / €57.00

Student Mathematical Library, Vol. 79

Covers classical material about the zeros of the Riemann

zeta function with applications to the distribution of Matrix groups touch an enormous spectrum of the

prime numbers, including those made by Riemann, mathematical arena. This textbook brings them into the

F. Carlson, and Hardy-Littlewood, and gives a complete undergraduate curriculum. It is concrete and example-

presentation of Levinson’s method for zeros on the driven, with geometric motivation and rigorous proofs.

critical line.

NONLINEAR ELLIPTIC EQUATIONS

LIE ALGEBRAS, LIE SUPERALGEBRAS, OF THE SECOND ORDER

VERTEX ALGEBRAS AND RELATED

TOPICS Qing Han

2016 368pp

Edited by Kailash C. Misra, Daniel K. Nakano & 9781470426071 Hardback £90.50 / €105.00

Brian J. Parshall Graduate Studies in Mathematics, Vol. 171

2016 355pp

Provides a detailed discussion of the Dirichlet problems

9781470418441 Hardback £125.00 / €140.00 for quasilinear and fully nonlinear elliptic differential

Proceedings of Symposia in Pure Mathematics, Vol. 92 equations of the second order with an emphasis on

mean curvature equations and on Monge-Ampere

Contains the proceedings of the 2012-2014 equations.

Southeastern Lie Theory Workshop Series held between

2012 and 2014. Some of the articles survey recent NUMERICAL ANALYSIS

developments while others include new results in

representations of Lie algebras, and quantum groups, Mathematics of Scientific

vertex (operator) algebras and Lie superalgebras. Computing, Third Edition

David Kincaid & Ward Cheney

MATHEMATICS++

2009 788pp

Selected Topics Beyond the 9780821847886 Hardback £95.50 / €110.00

Basic Courses Pure and Applied Undergraduate Texts, Vol. 2

Ida Kantor, Jiri Matousek & Robert Samal

Introduces students with diverse backgrounds to various

2015 353pp types of mathematical analysis that are commonly

needed in scientific computing. This title treats the

9781470422615 Paperback £49.95 / €57.00 subject of numerical analysis from a mathematical point

Student Mathematical Library, Vol. 75 of view, offering an analysis of methods for scientific

computing with appropriate motivations and proofs.

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.

12

KEY BESTSELLER PARTIAL DIFFERENTIAL

EQUATIONS

PARTIAL

DIFFERENTIAL An Accessible Route Through Theory

EQUATIONS and Applications

Andras Vasy

Second Edition

Lawrence C. Evans 2015 280pp

9781470418816 Hardback £70.50 / €81.00

2010 749pp Graduate Studies in Mathematics, Vol. 169

9780821849743 Hardback This text on partial differential equations is intended

£94.50 / €110.00 for readers who want to understand the theoretical

Graduate Studies in underpinnings of modern PDEs in settings that are

Mathematics, Vol. 19.R important for the applications without using extensive

analytic tools required by most advanced texts.

This is the definitive text on partial differential

equations (PDE). It offers a comprehensive survey PERSISTENCE THEORY

of modern techniques in the theoretical study

of PDE with particular emphasis on nonlinear From Quiver Representations to Data Analysis

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