Differentiable Manifolds A Theoretical Physics Approach /

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 ma...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Torres del Castillo, Gerardo F. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Subjects:
Manifolds (Mathematics).
Mechanics.
Mathematical physics.
Topological groups.
Lie groups.
Manifolds and Cell Complexes.
Classical Mechanics.
Mathematical Methods in Physics.
Topological Groups and Lie Groups.
Online Access:Texto Completo
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.

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