Introduction to Symplectic Topology
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Book 1
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Book 1
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Home > Mathematics and Science Textbooks > Mathematics > Geometry > Differential and Riemannian geometry > Introduction to Symplectic Topology: (Oxford Graduate Texts in Mathematics)
Introduction to Symplectic Topology: (Oxford Graduate Texts in Mathematics)

Introduction to Symplectic Topology: (Oxford Graduate Texts in Mathematics)


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About the Book

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. The first edition of Introduction to Symplectic Topology was published in 1995. The book was the first comprehensive introduction to the subject and became a key text in the area. A significantly revised second edition was published in 1998 introducing new sections and updates on the fast-developing area. This new third edition includes updates and new material to bring the book right up-to-date.

Table of Contents:
FOUNDATIONS 1: From classical to modern 2: Linear symplectic geometry 3: Symplectic manifolds 4: Almost complex structures SYMPLECTIC MANIFOLDS 5: Symplectic group actions 6: Symplectic Fibrations 7: Constructing Symplectic Manifolds SYMPLECTOMORPHISMS 8: Area-preserving dieomorphisms 9: Generating functions 10: The group of symplectomorphisms SYMPLECTIC INVARIANTS 11: The Arnold conjecture 12: Symplectic capacities 13: Questions of existence and uniqueness 14: Open problems A: Smooth Maps

About the Author :
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.

Review :
`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


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Product Details
  • ISBN-13: 9780198794905
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Edition: Revised edition
  • Language: English
  • Series Title: Oxford Graduate Texts in Mathematics
  • Weight: 1044 gr
  • ISBN-10: 0198794908
  • Publisher Date: 23 Mar 2017
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 640
  • Spine Width: 32 mm
  • Width: 156 mm


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