(Hardback)

Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. This title collects the work of Lautman. It offers readers an insight into his influence on the development of mathematics and philosophy.

(Paperback, second edition)

(Paperback, second edition)

This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated development.

(Paperback)

Matrices offer some of the most powerful techniques in modem mathematics. In the social sciences they provide fresh insights into an astonishing variety of topics. Dominance matrices can show how power struggles in offices or committees develop; Markov chains predict how fast news or gossip will spread in a village; permutation matrices illuminate

(Hardback)

Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results. This book provides a comprehensive account of this area of mathematics and applications and gives complete proofs of solved problems.

(Paperback, Second Edition)

Beginning with preliminaries on sets, functions, and relations, this book covers the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; and matrix exponential and stability theory.

(Hardback)

Provides a self-contained introduction to max-plus algebra. This book explores the introduction of max-plus algebra and of system descriptions based upon it. It deals with a real application, namely the design of timetables for railway networks. It also examines various extensions, such as stochastic systems and min-max-plus systems.

(Paperback)

Synopsis coming soon.......

(Paperback)

The description for this book, Meromorphic Functions and Analytic Curves. (AM-12), will be forthcoming.

(Paperback)

The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.

(Paperback)

Includes fifteen articles which focus on the developments in complex analysis. This work covers a spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. It covers topics that include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, and more.

(Paperback)

A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers.

(Paperback)

Develops techniques based on two ingredients: the theory of perverse sheaves and Larsen's Alternative. These techniques are then used to calculate the geometric monodromy groups attached to some specific universal families of (L-functions attached to) character sums over finite fields.

(Paperback)

One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. This book offers an exposition of Morse theory by John Milnor, recipient of the Fields Medal in 1962.

(Paperback)

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main

(Paperback)

The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), will be forthcoming.

(Paperback)

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.

(Hardback)

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.

(Hardback)

Combines ancient mythology and modern mathematics. This book offers helpful hints and complete solutions, and the appendixes include a brief history of the Hercules tale, and a review of mathematics.

(Paperback)

How might Hercules, the most famous of the Greek heroes, have used mathematics to complete his astonishing Twelve Labors From conquering the Nemean Lion and cleaning out the Augean Stables, to capturing the Erymanthean Boar and entering the Underworld to defeat the three-headed dog Cerberus, Hercules and his legend are the inspiration for this boo

(Paperback)

A mathematical sightseeing tour of the natural world by the author of The Magical Maze

(Paperback)

Describes some major advances made in algebraic topology, centering on the nilpotence and periodicity theorems. This book begins with some elementary concepts of homotopy theory that are needed to state the problem. The latter portion provides specialists with a coherent and rigorous account of the proofs.

(Paperback)

Each module chapter contains a review of the most important material from previous chapters. Each unit provides a clear, nonstatistical explanation of any symbols appearing in the formulas for that chapter. Each chapter reviewing hypothesis-testing procedures contains its own ...

(Paperback)

The purpose of this book is to provide a self-contained account, accessible to the non-specialist, of algebra necessary for the solution of the integrability problem for transitive pseudogroup structures. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of