Introduction to Symplectic Topology (Oxford Mathematical Monographs) - Hardcover

McDuff, Dusa; Salamon, Dietmar

Hardcover

ISBN 10: 0198511779 ISBN 13: 9780198511779

Publisher: Oxford University Press, 1995

Synopsis

Symplectic structures underlie the equations of classical mechanics, and their properties are reflected in the behavior of a wide range of physical systems. Over the years much detailed information has accumulated about the behavior of particular systems. Powerful new methods, such as Gromov's flexibility theorem and proofs of the Arnold conjectures, have produced striking results, but the modern global theory of symplectic topology has only recently emerged. This book is an introduction to the subject for postgraduate students, presenting new methods in the field and providing proofs of the simpler versions of the most important new theorems. The deepest theorems in the book are proved by a new finite dimensional variational analysis which combines ideas from Viterbo's generating function approach with the infinite dimensional variational analysis of Hofer-Zehnder. Exercises are also included.

About this title

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.

Review

On 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, AMS

Edition details

• Publisher: Oxford University Press
• Publication date: 1995
• Language: English
• ISBN 10: 0198511779
• ISBN 13: 9780198511779
• Binding: Hardcover
• Number of pages: 434