Discrete Differential Geometry: Integrable Structure

Alexander I. Bobenko, Yuri B. Suris

ISBN 10: 0821847007 ISBN 13: 9780821847008

Published by American Mathematical Society, 2008

Language: English

Used Condition: Very good Hardcover

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Bibliographic Details

Title

Discrete Differential Geometry: Integrable Structure

Publisher

American Mathematical Society

Publication Date

2008

Language

English

ISBN 10

0821847007

ISBN 13

9780821847008

Binding

Hard cover

Condition

Very good

Dust Jacket Condition

No jacket

Seller catalogs

Mathematics

About this title

Synopsis

An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of integrable systems. One of the main goals of this book is to reveal this integrable structure of discrete differential geometry. For a given smooth geometry one can suggest many different discretizations. Which one is the best? This book answers this question by providing fundamental discretization principles and applying them to numerous concrete problems. It turns out that intelligent theoretical discretizations are distinguished also

Review

"This book gives new life to old concepts of classical differential geometry, and a beautiful introduction to new notions of discrete integrable systems. It should be of interest to researchers in several areas of mathematics (integrable systems, differential geometry, numerical approximation of special surfaces), but also to advanced students interested in a good introduction to several classical areas of mathematics. Parts of it could well be used for graduate or possibly advanced undergraduate courses in mathematics." ---- Mathematical Reviews

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