Code: 01656332

Topology and Geometry for Physics

Name: Topology and Geometry for Physics
Brand: Springer, Berlin
SKU: 01656332
Price: 80.03 EUR
Availability: InStock
Author: Helmut Eschrig
ISBN: 9783642146992

by Helmut Eschrig

Language: English
Binding: Paperback
Number of pages: 390
Publisher: Springer, Berlin, 2011
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80.03 €

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Book synopsis

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. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.