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Introduction to Symplectic Topology : Oxford Mathematical Monographs - Dusa McDuff

Introduction to Symplectic Topology

Oxford Mathematical Monographs

Paperback Published: 1st September 1998
ISBN: 9780198504511
Number Of Pages: 444

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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

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

Introduction I. FOUNDATIONS 1: From classical to modern 2: Linear symplectic geometry 3: Symplectic manifolds 4: Almost complex structures II. SYMPLECTIC MANIFOLDS 5: Symplectic group actions 6: Symplectic fibrations 7: Constructing symplectic manifolds III. SYMPLECTOMORPHISMS 8: Area-preserving diffeomorphisms 9: Generating functions 10: The group of symplectomorphisms IV. SYMPLECTIC INVARIANTS 11: The Arnold conjecture 12: Symplectic capacities 13: New directions

ISBN: 9780198504511
ISBN-10: 0198504519
Series: Oxford Mathematical Monographs
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 444
Published: 1st September 1998
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 22.23 x 15.24  x 2.54
Weight (kg): 0.75
Edition Number: 2
Edition Type: Revised