(Paperback)

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and, in particular, to elliptic modular forms with emphasis on their number-theoretical aspects.

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(Hardback)

(Paperback)

Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic theory of an ideal gas, and entropy of dynamical systems.

(Hardback)

(Paperback)

Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-pr

(Paperback)

Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church's contributions to number theory and theories of algorithms and computability laid the theoretical foundations of computer science. This book is a basic source for understanding formal logic.

(Paperback)

The description for this book, Introduction to Non-Linear Mechanics. (AM-11), will be forthcoming.

(Hardback, Second Edition)

Serves as a text for mathematics students at the intermediate graduate level. This book aims to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers.

(Paperback)

Ramsey theory is an area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. This book presents a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles.

(Hardback)

Offers a systematic and detailed treatment of the numerical solution of Markov chains. This book explores various aspects of numerically computing solutions of Markov chains, especially when the state is huge. It examines many different numerical computing methods - direct, single-and multi-vector iterative, and projection methods.

(Paperback)

(Hardback)

(Paperback)

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects. This text aims to develop the foundations of the study of toric varieties, and describe these relations and applications. It includes Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope.

(Paperback)

Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn). Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Car

(Hardback)

(Hardback)

(Paperback)

Most of the results in this monograph are known. The method of proof is new, especially in the case of Matsushima's theorem. The topic is not easily accessible. Therefore an introduction has been written here in order to provide a clear, coherent, intransically formulated account which will be useful for applications to value distribution theory, and which may have a wider appeal as well.

(Paperback)

Discusses an unusually wide range of topics, including such items of contemporary interest as knot theory, optimization theory, and dynamical systems. This book includes a chapter, which deals with dynamics and contains material on the Game of Life, circle rotation, Smale's "horseshoe," and stability and instability, among other topics.

(Paperback)

A whimsical journey that shows children how the same number can be both big and small.

(Paperback)

The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), will be forthcoming.

(Paperback)

The description for this book, K-Theory of Forms. (AM-98), will be forthcoming.

(Paperback)

The description for this book, Knot Groups. Annals of Mathematics Studies. (AM-56), will be forthcoming.

(Paperback)