Topology and Geometry for Physics
Helmut Eschrig
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.
Categorie:
Anno:
2011
Edizione:
1st
Casa editrice:
Springer
Lingua:
english
Pagine:
300
ISBN 10:
3642146996
ISBN 13:
9783642146992
Collana:
Lecture Notes in Physics, Vol. 822
File:
PDF, 3.86 MB
IPFS:
,
english, 2011
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