Cambridge's respected mathematics and statistics lists seek to combine an innovative and cutting edge approach with the highest standards of scholarship, writing and production across the whole range of the discipline. This encompasses everything from academic monographs to student textbooks. We aim to reflect the latest developments in research, and also to provide materials for graduate and undergraduate students.

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Elliptic Curves and Big Galois Representations

Daniel Delbourgo

This book develops a generalization of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the arithmetic of elliptic curves, in particular the Birch and Swinnerton-Dyer (BSD) formula.

An Introduction to the Geometry of Infinite Groups

John Meier

This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry.

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$40.00 (Z)

An Introduction to Lie Groups and Lie Algebras

Alexander Kirillov

This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way.

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$80.00 (Z)

Model Selection and Model Averaging

Gerda Claeskens, Nils Lid Hjort

We have seen rapid advances in model fitting and in the theoretical understanding of model selection, yet this book is the first to synthesize research and practice from this active field.

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$70.00 (Z)

Orthogonal Polynomials and Continued Fractions
From Euler's Point of View

Sergey Khrushchev

Continued fractions, studied since Ancient Greece, only became a powerful tool in the hands of Euler during the eighteenth century.

Lévy Processes and Stochastic Calculus

David Applebaum

This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies.

A Dynamical Systems Viewpoint

Vivek S. Borkar

This simple, compact toolkit for designing and analyzing stochastic approximation algorithms requires only basic literacy in probability and differential equations.

Transcendental Dynamics and Complex Analysis

Edited by Philip J. Rippon, Gwyneth M. Stallar

Presenting papers by researchers in transcendental complex dynamics and complex analysis, this book is written in honor of Noel Baker, a leading exponent of transcendental dynamics.

Finite von Neumann Algebras and Masas

Allan Sinclair, Roger Smith

Providing an introductory yet thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras.

Polycycles and Two-faced Maps

Michel Deza, Mathieu Dutour Sikirić

Organized so that, after reading the introductory chapter, each chapter can be read independently from the others, the book should be accessible to researchers and students in graph theory, discrete geometry, and combinatorics, as well as to those in more applied areas such as mathematical chemistry and crystallography.

Arithmetic Geometry, Random Walks and Discrete Groups

E. Kowalski

This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves.

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$99.00 (C)

Multimedia Fluid Mechanics

Edited by G. M. Homsy

Inspired in large part by the very favorable reception of the first edition, Multimedia Fluid Mechanics 2/e continues to exploit the moving image and interactivity of multimedia to improve the teaching and learning of fluid mechanics by illustrating fundamental phenomena and conveying fascinating fluid flows.