(Paperback)

(Paperback)

Based on material of William Thurston presented at a seminar in Orsay from 1976 to 1977, this title covers topics such as the space of measured foliations on a surface, the Thurston compactification of Teichmuller space, the Nielsen-Thurston classification of surface homeomorphisms, and dynamical properties of pseudo-Anosov diffeomorphisms.

(Paperback)

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories. Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1

(Hardback)

(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.

(Hardback)

(Paperback)

(Paperback)

(Hardback)

Teaches how simple mathematics can help formulate and solve real problems of research interest in a range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. This book also includes traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition.

(Paperback)

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application

(Hardback)

(Paperback)

A study of the properties of manysided figures and their ability to deform, twist, and stretch without changing their shape. It offers an in-depth introduction to the field, providing explanations of what would today be considered the basic tools of algebraic topology.

(Paperback)

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

(Paperback)

Topological analysis consists of those basic theorems of analysis which are essentially topological in character, developed and proved entirely by topological and pseudotopological methods. The objective of this volume is the promotion, encouragement, and stimulation of the interaction between topology and analysis-to the benefit of both. Original

(Hardback)

(Paperback)

The description for this book, Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), will be forthcoming.

(Hardback)

(Paperback)

One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of t

(Paperback)

During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincare on the Poincare conjectures, and sketching a proof of Haken's main result.

(Hardback)

Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics.

(Paperback)

Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics.

(Paperback)

The description for this book, Transcendental Numbers. (AM-16), 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)

Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics.