**Introduction to Symplectic and Hamiltonian Geometry**

by Ana Cannas da Silva

2007**Number of pages**: 158

**Description**:

This text covers foundations of symplectic geometry in a modern language. We start by describing symplectic manifolds and their transformations, and by explaining connections to topology and other geometries. Next we study hamiltonian fields, hamiltonian actions and some of their practical applications in the context of mechanics and dynamical systems. We assume previous knowledge of the geometry of smooth manifolds, though the main required facts are collected in appendices.

Download or read it online for free here:

**Download link**

(810KB, PDF)

## Similar books

**Tight and Taut Submanifolds**

by

**Thomas E. Cecil, Shiing-shen Chern**-

**Cambridge University Press**

Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.

(

**7654**views)

**Differential Topology of Fiber Bundles**

by

**Karl-Hermann Neeb**-

**FAU Erlangen-Nuernberg**

From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.

(

**6690**views)

**Differential Topology**

by

**Bjorn Ian Dundas**-

**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.

(

**7372**views)

**Lectures on Symplectic Geometry**

by

**Ana Cannas da Silva**-

**Springer**

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. The text is written in a clear, easy-to-follow style.

(

**11345**views)