Logo

Lectures on Symplectic Geometry

Large book cover: Lectures on Symplectic Geometry

Lectures on Symplectic Geometry
by

Publisher: Springer
ISBN/ASIN: 3540421955
ISBN-13: 9783540421955
Number of pages: 225

Description:
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. From an introductory chapter of symplectic forms and symplectic algebra, the book moves on to many of the subjects that serve as the basis for current research: symplectomorphisms, Lagrangian submanifolds, the Moser theorems, Darboux-Moser-Weinstein theory, almost complex structures, KAhler structures, Hamiltonian mechanics, symplectic reduction, etc.

Home page url

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: Differential Topology and Morse TheoryDifferential Topology and Morse Theory
by - University of Sheffield
These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.
(7244 views)
Book cover: Introduction to Symplectic and Hamiltonian GeometryIntroduction to Symplectic and Hamiltonian Geometry
by
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(10431 views)
Book cover: Symplectic GeometrySymplectic Geometry
by - Princeton University
An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.
(9334 views)
Book cover: Differential TopologyDifferential Topology
by - Johns Hopkins University
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.
(7373 views)