International Congress of Mathematicians: Applied Mathematics

ICM 2018 - Rio

Applied mathematics

Applied Mathematics

The Geometry and Physics of Knots Michael Atiyah Lezioni Lincee

The material presented rests primarily on the pioneering work of Vaughan Jones and Edward Witten – relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions.

August 1990 216 x 138 mm 108pp 978-0-521-39554-0 Paperback £24.99 / US$42.99 P

Mathematical Aspects of Quantum Field Theory Edson de Faria and Welington de Melo

Vorticity and Incompressible Flow

Introduction to Applied Linear Algebra

Andrew J. Majda and Andrea L. Bertozzi

Vectors, Matrices, and Least Squares Stephen Boyd and Lieven Vandenberghe

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow.

Cambridge Texts in Applied Mathematics, 27 December 2001 228 x 152 mm 560pp 48 b/w illus. 3 tables 978-0-521-63948-4 Paperback £59.99 / US$93.00 P

August 2010 228 x 152 mm 314pp 10 b/w illus. 45 exercises 978-0-521-11577-3 Hardback £49.99 / US$69.99 P

June 2018 246 x 189 mm c.500pp 978-1-316-51896-0 Hardback £35.99 / US$49.99 X

Dispersive Partial Differential Equations

The Geometry of Physics

Wellposedness and Applications M. Burak Erdogan and Nikolaos Tzirakis

An Introduction Third edition Theodore Frankel

Introduces nonlinear dispersive partial differential equations in a detailed yet This book presents some of the basic ideas and tools of quantum elementary way without compromising the depth and richness of the subject. field theory to a mathematical London Mathematical Society Student audience.

Cambridge Studies in Advanced Mathematics, 127

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Texts, 86

May 2016 228 x 152 mm 197pp 65 exercises 978-1-316-60293-5 Paperback £25.99 / US$39.99 P

Provides a working knowledge of tools that are of great value in geometry and physics and in engineering.

November 2011 247 x 174 mm 748pp 260 b/w illus. 205 exercises 978-1-107-60260-1 Paperback £55.99 / US$79.99 P

Optimization Methods in Finance Second edition Gérard Cornuéjols, Javier Peña and Reha Tütüncü

Full treatment, from model formulation to computational implementation, of optimization techniques that solve central problems in finance.

August 2018 247 x 174 mm 347pp 34 b/w illus. 125 exercises 978-1-107-05674-9 Hardback £46.99 / US$64.99 P

Statistical Mechanics of Lattice Systems A Concrete Mathematical Introduction Sacha Friedli and Yvan Velenik

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

November 2017 247 x 174 mm 640pp 978-1-107-18482-4 Hardback £54.99 / US$69.99 P

20% discount online at www.cambridge.org/ICM2018

Applied Mathematics

Passive Imaging with Ambient Noise

Electricity and Magnetism for Mathematicians

Josselin Garnier and George Papanicolaou

A Guided Path from Maxwell’s Equations to Yang–Mills Thomas A. Garrity

This multidisciplinary book provides a systematic introduction to the analysis of passive sensor array imaging using ambient noise sources.

April 2016 247 x 174 mm 306pp 15 b/w illus. 48 colour illus.

978-1-107-13563-5 Hardback £90.00 / US$135.00 P

Discrete Systems and Integrability J. Hietarinta, N. Joshi and F. W. Nijhoff

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

Cambridge Texts in Applied Mathematics, 54 September 2016 228 x 152 mm 458pp 68 b/w illus. 2 tables 98 exercises 978-1-107-66948-2 Paperback £35.99 / US$50.99 P

Maxwell’s equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

March 2015 228 x 152 mm 294pp 81 b/w illus. 2 colour illus. 211 exercises 978-1-107-43516-2 Paperback £27.99 / US$40.99 P

Optimal Control and Geometry: Integrable Systems Velimir Jurdjevic

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

Cambridge Studies in Advanced Mathematics, 154 July 2016 228 x 152 mm 423pp 4 tables 978-1-107-11388-6 Hardback £59.99 / US$84.99 P

Quantum Fields and Processes A Combinatorial Approach John Gough and Joachim Kupsch

A Gentle Introduction to Optimization B. Guenin, J. Könemann and L. Tunçel

Do quantum field theory without Feynman diagrams! Use the combinatorics behind cumulants, correlations, Green’s functions and quantum fields.

Assuming only basic linear algebra, this textbook is the perfect starting point for undergraduate students from across the mathematical sciences.

Cambridge Studies in Advanced Mathematics

July 2014 247 x 174 mm 279pp 55 b/w illus. 25 colour illus. 20 tables 140 exercises 978-1-107-65879-0 Paperback £31.99 / US$44.99 X

April 2018 228 x 152 mm 338pp 978-1-108-41676-4 Hardback £59.99 / US$79.99 P

An Introduction to Polynomial and Semi-Algebraic Optimization Jean Bernard Lasserre

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

Cambridge Texts in Applied Mathematics, 52 February 2015 228 x 152 mm 354pp 15 b/w illus. 2 colour illus.

978-1-107-63069-7 Paperback £36.99 / US$59.99 P

Numerical Solution of Differential Equations Introduction to Finite Difference and Finite Element Methods Zhilin Li, Zhonghua Qiao and Tao Tang

A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.

November 2017 247 x 174 mm 300pp 57 b/w illus. 55 exercises 978-1-316-61510-2 Paperback £35.99 / US$44.99 G

20% discount online at www.cambridge.org/ICM2018

Applied Mathematics

An Introduction to Computational Stochastic PDEs Gabriel J. Lord, Catherine E. Powell and Tony Shardlow

This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

Cambridge Texts in Applied Mathematics, 50 October 2014 247 x 174 mm 520pp 107 b/w illus. 16 colour illus. 222 exercises 978-0-521-72852-2 Paperback £46.99 / US$59.99 P

Large Deviations and Metastability Enzo Olivieri and Maria Eulália Vares

Covers an area at intersection of probability theory and statistical mechanics.

Encyclopedia of Mathematics and its Applications, 100 February 2005 228 x 152 mm 528pp 37 b/w illus.

978-0-521-59163-8 Hardback £149.00 / US$273.00 C

The Theory of Quantum Information

Essentials of Programming in Mathematica®

John Watrous

Paul Wellin

Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

This book covers Mathematica® for beginners. An example-driven text covering a wide variety of applications, containing over 350 exercises with solutions available online.

April 2018 247 x 174 mm 598pp 9 b/w illus. 40 exercises 978-1-107-18056-7 Hardback £59.99 / US$79.99 P

December 2015 246 x 189 mm 436pp 45 b/w illus. 190 colour illus. 350 exercises 978-1-107-11666-5 Hardback £47.99 / US$64.99 P

Partial Differential Multivariate Equation Methods Approximation for Image Inpainting V. Temlyakov This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.

Numerical Linear Algebra

Quantum Information Theory

An Introduction Holger Wendland

Second edition Mark M. Wilde

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject.

Introduces many concepts and mathematical tools in quantum information theory, with over 100 pages of new material and exercises.

Carola-Bibiane Schönlieb

Cambridge Monographs on Applied and Cambridge Monographs on Applied and Computational Mathematics, 32 Computational Mathematics, 29 July 2018 247 x 174 mm c.550pp January 2016 228 x 152 mm 250pp 12 b/w illus.

69 b/w illus. 34 colour illus. 15 exercises 978-1-108-42875-0 Hardback 978-1-107-00100-8 Hardback £79.99 / US$110.00 P £76.99 / US$99.99 P

Cambridge Texts in Applied Mathematics, 56 November 2017 228 x 152 mm 418pp 21 b/w illus. 55 exercises 978-1-316-60117-4 Paperback £34.99 / US$44.99 G

February 2017 247 x 174 mm 776pp 80 b/w illus. 3 tables 300 exercises 978-1-107-17616-4 Hardback £54.99 / US$89.99 P

20% discount online at www.cambridge.org/ICM2018