Differentiable Manifolds A Theoretical Physics Approach /

• Main Author: Torres del Castillo, Gerardo F. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Subjects: Mathematics.; Topological groups.; Lie groups.; Manifolds (Mathematics).; Complex manifolds.; Physics.; Mechanics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Mathematical Methods in Physics.; Topological Groups, Lie Groups.

This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work’s first three chapters introduce the basic concepts of the theory, such as differentiable maps, t...

Table of Contents:

• Preface.-1 Manifolds.-  2 Lie Derivatives
• 3 Differential Forms
• 4 Integral Manifolds
• 5 Connections
• 6. Riemannian Manifolds
• 7 Lie Groups
• 8 Hamiltonian Classical Mechanics
• References.-Index.