(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.

(Paperback)

For hundreds of years, the study of elliptic curves has played a central role in mathematics. This book explores: What is the average rank of elliptic curves, and how does the rank vary in various kinds of families of elliptic curves It is suitable for those interested in number theory and algebraic geometry.

(Paperback)

Using set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to

(Hardback)

(Paperback)

(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.

(Hardback)

Provides clear presentations of more than 60 important unsolved problems in mathematical systems and control theory.

(Paperback)

Provides a comprehensive introduction to the theory and practice of validated numerics, a field that combines the strengths of scientific computing and pure mathematics. This title features many examples, exercises, and computer labs using MATLAB/C++. It is suitable for graduate students and advanced undergraduates.

(Hardback)

Provides a comprehensive introduction to the theory and practice of validated numerics, a field that combines the strengths of scientific computing and pure mathematics. This title features many examples, exercises, and computer labs using MATLAB/C++. It is suitable for graduate students and advanced undergraduates.

(Paperback)

The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics--a study of non-additive

(Hardback)

(Hardback)

Suitable for students of all mathematics and art levels, this title focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. It encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery.

(Hardback)

(Paperback)

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. This book proves foundational results about these series and develops their combinatorics.

(Paperback)