Over the last number of 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. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

A most welcome resource for graduate students entering the field.The book has been updated in many places, so that it also continues to serve as a reference work for specialists. The attentive reader will discover many other helpful details that have been added to this third edition.

`Review from previous 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

Can be used as an introductory textbook for graduate students or mature mathematicians who are interested in symplectic topology but are as yet unfamiliar with the subject. All chapters have been revised to improve the exposition and to make them more readable, new material has been added in many places, and various proofs have been tightened up. Copious new references to key papers have been added to the bibliography. Chapter 13 has been completely rewritten and has a new title (Questions of Existence and Uniqueness). A new Chapter 14 on open problems in the field has been added.

Dusa McDuff was born in London, UK, in 1945. She studied Mathematics at the University of Edinburgh (B. Sc. (Hon) in 1967), at Cambridge University (Ph. D. in 1971, supervised by G.A. Reid), and also at Moscow University (1968-69 with I.M.Gelfand). After a postdoc in Cambridge, she lectured at the Universities of York and Warwick, before taking up a position in SUNY, Stony Brook, USA in 1978. She moved to Barnard College in 2008. Dietmar Salamon was born in Bremen, West Germany, in 1953. Studied Mathematics at the Universities of Hannover and Bremen from 1971 to 1978. PhD in Mathematics at the University of Bremen in 1982 under the supervision of Didi Hinrichsen. Postdoc positions at UW Madison and ETH Z urich from 1983 to 1986. Lecturer, Reader, and Professor at the University of Warwick from 1986 to 1998. Professor at ETH Zurich since 1998.

Can be used as an introductory textbook for graduate students or mature mathematicians who are interested in symplectic topology but are as yet unfamiliar with the subject. All chapters have been revised to improve the exposition and to make them more readable, new material has been added in many places, and various proofs have been tightened up. Copious new references to key papers have been added to the bibliography. Chapter 13 has been completely rewritten and has a new title (Questions of Existence and Uniqueness). A new Chapter 14 on open problems in the field has been added.