Introduction to Symplectic Topology (Oxford Mathematical Monographs) - Hardcover

McDuff, Dusa

Hardcover

ISBN 10: 0198511779 ISBN 13: 9780198511779

Publisher: Clarendon Press, 1996

Synopsis

Symplectic structures underlie the equations of classical mechanics and their properties are reflected in the behaviour of a wide range of physical systems. Over the years, much detailed knowledge has accumulated about the behaviour of particular systems, but the modern global theory of symplectic topology has just emerged. Powerful new methods in analysis and topology have led to a series of striking results, such as Gromov's flexibility theorem on the existence of symplectic structures, and the various proofs of the Arnold conjectures on the number of fixed points of a symplectic map. This book contains an introduction to the subject, which will acquaint the reader with new methods in the field and provide proofs of the simpler versions of the most important new theorems, such as a finite dimensional variational analysis of Hofer-Zehnder.

About this title

Review

From reviews of the first edition:'...an authoritative and comprehensive reference...McDuff and Salamon have done an enormous service to the symplectic community: their book greatly enhances the accessibility of the subject to students and researchers alike.'Book Reviews, American Mathematical Society

About the Author

Dusa McDuff is one of the world's leading researchers in this field, and has been invited to speak at the International Congress of Mathematicians 1998.

Edition details

• Publisher: Clarendon Press
• Publication date: 1996
• Language: English
• ISBN 10: 0198511779
• ISBN 13: 9780198511779
• Binding: Hardcover
• Number of pages: 433