Topology and geometry for physics /

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Bibliographic Details
Author / Creator:Eschrig, H. (Helmut)
Imprint:Berlin ; Heidelberg ; New York : Springer, ©2011.
Description:1 online resource (xii, 389 pages) : illustrations.
Language:English
Series:Lecture notes in physics, 1616-6361 ; v. 822
Lecture notes in physics ; 822.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11075306
Hidden Bibliographic Details
ISBN:9783642147005
3642147003
9783642146992
3642146996
9783642146992
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Eschrig, H. (Helmut). Topology and geometry for physics. Heidelberg ; New York : Springer, ©2011 9783642146992
Standard no.:10.1007/978-3-642-14700-5