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Cambridge University Press publishes textbooks, for both graduate and undergraduate courses, and monographs across the whole range of pure and applied mathematics, financial mathematics and statistics.

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Partial Differential Equations for Probabilists

 

Daniel Stroock

 

This book deals with equations that have played a central role in the interplay between partial differential equations and probability theory.

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Combinatorial Games

 

József Beck

 

József Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics.

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Exact and Approximate Controllability for Distributed Parameter Systems

 

Roland Glowinski, Jacques-Louis Lions, Jiwen He

 

Investigates how a user or observer can influence the behavior of systems mathematically and computationally.

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Alfred Tarski

 

Anita Burdman Feferman, Solomon Feferman

 

This first full length biography places Tarski in the social, intellectual and historical context of his times and presents a frank, vivid picture of a personally and professionally passionate man, interlaced with an account of his major scientific achievements.

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An Introduction to Involutive Structures

 

Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie

 

Includes details of the main methods in the theory of involutive systems of complex vector fields, this book examines the major results from the last twenty five years in the subject.

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A Primer of Infinitesimal Analysis

 

John L. Bell

 

Basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of ‘zero-square’, or ‘nilpotent’ infinitesimal - that is, a quantity so small that its square and all higher powers can be set, to zero.

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Complex Topological K-Theory

 

Efton Park

 

Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject

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A Course of Pure Mathematics Centenary Edition

 

G. H. Hardy, Foreword by T. W. Körner

 

Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide.

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Nonlinear Continuum Mechanics for Finite Element Analysis

 

Javier Bonet, Richard D. Wood

 

Presenting both nonlinear continuum analysis & associated finite element techniques in one, the authors provide a complete, updated, clear, and unified treatment of these important subjects.

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A First Course in Fourier Analysis

 

David W. Kammler

 

Develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.

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Generalized Linear Models for Insurance Data

 

Piet de Jong, Gillian Z. Heller

 

The only book actuaries need to understand generalized linear models (GLMs) for insurance applications.

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Harmonic Analysis on Finite Groups

 

Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli

 

This book develops the necessary tools for the asymptotic analysis of processes such as random walks on the discrete circle and the finite ultrametric space.

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Probability, Geometry and Integrable Systems

 

Mark Pinsky, Bjorn Birnir

 

Written by experts in probability, geometry, integrable systems, turbulence, and percolation, the seventeen papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems in these areas.

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An Introduction to Contact Topology

 

Hansjörg Geiges

 

The first comprehensive introduction to contact topology, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds.

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Statistics Using SPSS

 

Sharon Lawner Weinberg, Sarah Knapp Abramowitz

 

This is an introductory applied statistics text that can be used for a one- or two-semester course at either the undergraduate or graduate level.


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Survival Analysis for Epidemiologic and Medical Research

 

Steve Selvin

 

This practical guide shows why the analytic methods work and how to effectively analyze and interpret epidemiologic and medical survival data with the help of modern computer systems.