Topology and Geometry for Physics

• Main Author: Eschrig, Helmut (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Series: Lecture Notes in Physics, Volume 822, 822
• Subjects: Physics.; Mathematical Methods in Physics.

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smoot...

Table of Contents:

• Introduction
• Topology
• Manifolds
• Tensor Fields
• Integration, Homology and Cohomology
• Lie Groups
• Bundles and Connections
• Parallelism, Holonomy, Homotopy and (Co)homology
• Riemannian Geometry
• Compendium.