Lectures on Symplectic Geometry (Paperback, 1st Corrected ed. 2008, Corr. 2nd printing 2008)

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 covers symplectomorphisms, local forms, contact manifold, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moments 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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1764
Release date:	June 2008
First published:	June 2008
Authors:	Ana Cannas Da Silva
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	220
Edition:	1st Corrected ed. 2008, Corr. 2nd printing 2008
ISBN-13:	978-3-540-42195-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Promotions
LSN:	3-540-42195-5
Barcode:	9783540421955

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