Introduction to Symplectic Topology - Couverture rigide

McDuff, Dusa

Couverture rigide

ISBN 10 : 0198511779 ISBN 13 : 9780198511779

Editeur : 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.

A propos du livre

Présentation de l'éditeur

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 last few years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. At its publication in 1995, Introduction to Symplectic Topology was the first comprehensive introduction to the subject, and has since become an established text in this fast-developing area of mathematics. This second edition has been significantly revised and expanded, with new references and examples added and theorems included or revised. A section has been included on new developments in the subject, and there is a more extensive discussion of Taubes and Donaldson's recent contributions to the subject. 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, AMS

Revue de presse

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

Détails de l'édition

• Éditeur: Clarendon Press
• Date d'édition: 1996
• Langue: anglais
• ISBN 10: 0198511779
• ISBN 13: 9780198511779
• Reliure: Relié
• Nombre de pages: 433
• Coordonnées du fabricant: non disponible
• Personne responsable: Messaggerie Libri; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; Italie