Logo

Introduction to Symplectic and Hamiltonian Geometry

Introduction to Symplectic and Hamiltonian Geometry
by


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.

Home page url

Download or read it online for free here:
Download link
(810KB, PDF)

Similar books

Book cover: Tight and Taut SubmanifoldsTight and Taut Submanifolds
by - 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)
Book cover: Differential Topology of Fiber BundlesDifferential Topology of Fiber Bundles
by - 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)
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.
(7372 views)
Book cover: Lectures on Symplectic GeometryLectures on Symplectic Geometry
by - 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)