International Congress of Mathematicians: Analysis

ICM 2018 - Rio

ANALYSIS

Analysis

Special Functions and Orthogonal Polynomials

Convergence of One-Parameter Operator Semigroups

Twelve Landmarks of TwentiethCentury Analysis

Fourier Analysis

Richard Beals and Roderick Wong

In Models of Mathematical Biology and Elsewhere

D. Choimet and H. Queffélec

A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.

Adam Bobrowski

This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.

Cambridge Studies in Advanced Mathematics, 153 May 2016 228 x 152 mm 488pp 7 b/w illus. 430 exercises 978-1-107-10698-7 Hardback £57.99 / US$89.99

A First Course in Analysis John B. Conway

This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

Cambridge Mathematical Textbooks September 2017 228 x 152 mm 375pp 978-1-107-17314-9 Hardback £39.99 / US$49.99

Presents the classical theory of convergence of semigroups and looks at how it applies to realworld phenomena.

New Mathematical Monographs, 30 July 2016 228 x 152 mm 454pp 60 b/w illus. 9 colour illus. 160 exercises 978-1-107-13743-1 Hardback £92.99 / US$145.00

July 2015 228 x 152 mm 546pp 25 b/w illus. 153 exercises 978-1-107-65034-3 Paperback £27.99 / US$42.99

Volume 1: Theory Adrian Constantin

London Mathematical Society Student Texts, 85 June 2016 228 x 152 mm 366pp 50 b/w illus. 200 exercises 978-1-107-62035-3 Paperback £36.99 / US$45.99

Introduction to Model Spaces and their Operators

Sobolev Spaces on Metric Measure Spaces

Fourier Analysis and Partial Differential Equations

Stephan Ramon Garcia Javad Mashreghi and William T. Ross

An Approach Based on Upper Gradients

Rafael José Iorio, Jr and Valéria de Magalhães Iorio

Juha Heinonen Pekka Koskela Nageswari Shanmugalingam and Jeremy T. Tyson

A 2001 introduction to Fourier analysis and partial differential equations; aimed at beginning graduate students.

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

Cambridge Studies in Advanced Mathematics, 148 May 2016 228 x 152 mm 340pp 10 b/w illus.

978-1-107-10874-5 Hardback £52.99 / US$79.99

This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.

New Mathematical Monographs, 27 February 2015 228 x 152 mm 448pp 4 b/w illus.

978-1-107-09234-1 Hardback £87.99 / US$140.00

Cambridge Studies in Advanced Mathematics, 70 July 2012 229 x 152 mm 424pp 978-0-521-62909-6 Paperback £54.99 / US$82.99

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

Analysis

Ultrametric Pseudodifferential Equations and Applications

Introduction to Banach Spaces: Analysis and Probability

Introduction to Banach Spaces: Analysis and Probability

Andrei Yu. Khrennikov Sergei V. Kozyrev and W. A. Zúñiga-Galindo

Volume 1

Volume 2

Daniel Li and Hervé Queffélec Translated by Danièle Gibbons and Greg Gibbons

Daniel Li and Hervé Queffélec Translated by Danièle Gibbons and Greg Gibbons

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

This second volume of a twovolume overview focuses on the applications of Banach spaces and recent developments in the field.

Cambridge Studies in Advanced Mathematics, 166

Cambridge Studies in Advanced Mathematics, 167

December 2017 228 x 152 mm 460pp 5 b/w illus. 95 exercises 978-1-107-16051-4 Hardback £74.99 / US$94.99

December 2017 228 x 152 mm 402pp 2 b/w illus. 50 exercises 978-1-107-16262-4 Hardback £69.99 / US$99.99

Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis

Wavelets

Volume 1

Volume 2

Camil Muscalu and Wilhelm Schlag

Camil Muscalu and Wilhelm Schlag

This contemporary graduatelevel text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

This contemporary graduatelevel text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

Cambridge Studies in Advanced Mathematics, 137

Cambridge Studies in Advanced Mathematics, 138

January 2013 228 x 152 mm 387pp 25 b/w illus. 200 exercises 978-0-521-88245-3 Hardback £49.99 / US$77.99

January 2013 228 x 152 mm 339pp 15 b/w illus. 80 exercises 978-1-107-03182-1 Hardback £49.99 / US$77.99

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

Encyclopedia of Mathematics and its Applications, 168 April 2018 234 x 156 mm 250pp 5 b/w illus.

978-1-107-18882-2 Hardback £95.00 / US$125.00

Wavelets Calderón-Zygmund and Multilinear Operators Yves Meyer Ronald Coifman and David Salinger

A classic exposition of the theory of wavelets from two of the subject’s leading experts.

Cambridge Studies in Advanced Mathematics, 48 August 2000 228 x 152 mm 336pp 3 b/w illus.

978-0-521-79473-2 Paperback £59.99 / US$94.99

Fourier Analysis and Hausdorff Dimension Pertti Mattila

Modern text examining the interplay between measure theory and Fourier analysis.

Cambridge Studies in Advanced Mathematics, 150 July 2015 228 x 152 mm 452pp 5 b/w illus.

978-1-107-10735-9 Hardback £53.99 / US$75.99

A Student Guide Peter Nickolas

Australian Mathematical Society Lecture Series, 24 January 2017 228 x 152 mm 274pp 20 b/w illus. 230 exercises 978-1-107-61251-8 Paperback £39.99 / US$54.99

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

Analysis

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces Vern I. Paulsen and Mrinal Raghupathi

A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

Cambridge Studies in Advanced Mathematics, 152

Recent Progress in the Theory of the Euler and Navier–Stokes Equations Edited by James C. Robinson José L. Rodrigo Witold Sadowski and Alejandro Vidal-López

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

April 2016 228 x 152 mm 192pp 99 exercises 978-1-107-10409-9 Hardback £47.99 / US$69.99

London Mathematical Society Lecture Note Series, 430

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Fractals in Probability and Analysis

January 2016 228 x 152 mm 248pp 10 b/w illus.

978-1-107-55497-9 Paperback £50.99 / US$71.99

Christopher J. Bishop and Yuval Peres

Introduction to Radon Transforms

Fourier Integrals in Classical Analysis

With Elements of Fractional Calculus and Harmonic Analysis

Second edition

Boris Rubin

A comprehensive introduction to basic operators of integral geometry and the relevant harmonic analysis for students and researchers.

Encyclopedia of Mathematics and its Applications

Note Series, 431

Mathematics, 162

June 2016 228 x 152 mm 230pp 100 exercises 978-1-107-54148-1 Paperback £51.99 / US$81.99

December 2016 228 x 152 mm 412pp 75 b/w illus. 380 exercises 978-1-107-13411-9 Hardback £51.99 / US$79.99

This advanced monograph is concerned with modern treatments of central problems in harmonic analysis.

Cambridge Tracts in Mathematics, 210 April 2017 228 x 152 mm 348pp 2 b/w illus.

978-1-107-12007-5 Hardback £95.00 / US$125.00

November 2015 234 x 156 mm 596pp 16 b/w illus. 4 exercises 978-0-521-85459-7 Hardback £105.00 / US$155.00

A Course in Mathematical Analysis

Measures, Integrals and Martingales

Volume 1: Foundations and Elementary Real Analysis

René L. Schilling

A mathematically rigorous D. J. H. Garling introduction to fractals, A detailed treatment of potential emphasizing examples and The first volume of three providing theory on the real hyperbolic fundamental ideas while minimizing a full and detailed account of ball and half-space aimed at undergraduate mathematical researchers and graduate students. technicalities.

Cambridge Studies in Advanced analysis.

London Mathematical Society Lecture Manfred Stoll

Christopher D. Sogge

April 2013 247 x 174 mm 318pp 21 b/w illus. 340 exercises 978-1-107-61418-5 Paperback £31.99 / US$57.99

Second edition

A concise, elementary introduction to measure and integration theory, requiring few prerequisites as theory is developed quickly and simply.

April 2017 247 x 174 mm 490pp 40 b/w illus. 420 exercises 978-1-316-62024-3 Paperback £39.99 / US$54.99

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