ENGLISH

Topology and geometry for physics

By Helmut Eschrig (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
3642146996, 9783642146992
DOI
10.1007/978-3-642-14700-5
Open Library ID
OL25018011M
Language
english
Format
PDF
Filesize
3 MB (2822280 bytes)
Series
Lecture Notes in Physics 822
Edition
1
Pages
390\403
Library
Kolxo3
Time added
2011-07-22 07:35:22
Mathematical Methods in Physics

Description

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.

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