Symplectic Geometry by Ana Cannas da Silva

Symplectic Geometry

Publisher: Princeton University
Number of pages: 109

This is an overview of symplectic geometry – the geometry of symplectic manifolds. From a language for classical mechanics in the XVIII century, symplectic geometry has matured since the 1960’s to a rich and central branch of differential geometry and topology. A current survey can thus only aspire to give a partial flavor on this exciting field.

Download or read it online for free here:
Download link
(840KB, PDF)

Similar books

Book cover: Introduction to Differential TopologyIntroduction to Differential Topology
by - Boise State University
This is a preliminary version of introductory lecture notes for Differential Topology. We try to give a deeper account of basic ideas of differential topology than usual in introductory texts. Many examples of manifolds are worked out in detail.
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.
Book cover: Introduction to Symplectic and Hamiltonian GeometryIntroduction to Symplectic and Hamiltonian Geometry
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.
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.