(Paperback)

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

(Paperback)

(Paperback)

The arithmetic Riemann-Roch Theorem has been shown by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. This book gives an introduction to the necessary techniques, and presents a simplified and extended version of the proof.

(Paperback)

As the title indicates, the content of these notes is a lengthy construction of techniques devised to study specific differential geometric problems. In this introduction we state our main objectives and illustrate by examples some of their geometric implications.

(Paperback)

Starting with the elementary theory of Lie groups of matrices, this book arrives at the definition, elementary properties, and first applications of cohomological induction. It is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986.

(Paperback)

In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. This book develops linear programming methods for their solutions. It introduces the basic theory of linear inequalities and describes the simplex method used to solve them.

(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.

(Hardback)

(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

(Paperback)

Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieti

(Paperback)

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical enginee

(Paperback, Revised edition)

Offers a survey of representation theory of semisimple Lie groups. Suitable for both graduate students and researchers, this book states the theorems precisely, and gives many illustrative examples or classes of examples. It includes for the reader a useful 300-item bibliography and an extensive section of notes.

(Hardback)

Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. This is the work on nonnormal matrices and operators.

(Paperback)

Offers an account of the 3-manifold invariants arising from the original Jones polynomial. This book contains the methods that are based on a recoupling theory for the Temperley-Lieb algebra. The appendices include information about gems, examples of distinct manifolds with the same invariants, and applications to the Turaev-Viro invariant.

(Paperback)

A work that gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G.

(Hardback)

A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients - with two operations, addition and multiplication. This book guides readers from basic concepts to Noetherian rings, one of the most important classes of commutative rings and beyond.

(Paperback)

The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), will be forthcoming.

(Paperback)

With the first two chapters of this book offering a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients, the author introduces a class of triangulated categories - the "well generated triangulated categories" - and studies their properties.

(Paperback)

Based on the "Hermann Weyl Lectures" given at the Institute for Advanced Study in January 1986. This title outlines some of what is known about irreducible unitary representations of real reductive groups, providing definitions and references, and sketches of most proofs.

(Paperback)

Written for those who are unencumbered by a fear of formulae, this volume presents a history of algebra that is intellectually satisfying and pleasantly challenging.

(Paperback)

Introduction to concepts of category theory - categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctive, monads - revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

(Hardback)

(Paperback, Fifth Edition)

(Hardback)

A mathematician reveals the hidden beauty, power, and-yes-fun of algebra