9783540421955-3540421955-Lectures on Symplectic Geometry (Lecture Notes in Mathematics (1764))

Lectures on Symplectic Geometry (Lecture Notes in Mathematics (1764))

ISBN-13: 9783540421955
ISBN-10: 3540421955
Edition: 1st Corrected ed. 2008, Corr. 2nd printing 2008
Author: Ana Cannas da Silva
Publication date: 2001
Publisher: Springer
Format: Paperback 232 pages
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Book details

ISBN-13: 9783540421955
ISBN-10: 3540421955
Edition: 1st Corrected ed. 2008, Corr. 2nd printing 2008
Author: Ana Cannas da Silva
Publication date: 2001
Publisher: Springer
Format: Paperback 232 pages

Summary

Acknowledged author Ana Cannas da Silva wrote Lectures on Symplectic Geometry (Lecture Notes in Mathematics (1764)) comprising 232 pages back in 2001. Textbook and eTextbook are published under ISBN 3540421955 and 9783540421955. Since then Lectures on Symplectic Geometry (Lecture Notes in Mathematics (1764)) textbook was available to sell back to BooksRun online for the top buyback price of $ 4.71 or rent at the marketplace.

Description

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

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