Mendeley出力
Topology and Geometry for Physics / by Helmut Eschrig
(Lecture Notes in Physics, Volume 822 ; 822)
| データ種別 | 電子ブック |
|---|---|
| 著者標目 | *Eschrig, Helmut author SpringerLink (Online service) |
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 2011 |
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| 巻次 | ISBN:9783642147005 |
|---|---|
| 大きさ | XII, 390 p. 60 illus : online resource |
| 本文言語 | 英語 |
| 内容注記 | Introduction Topology Manifolds Tensor Fields Integration, Homology and Cohomology Lie Groups Bundles and Connections Parallelism, Holonomy, Homotopy and (Co)homology Riemannian Geometry Compendium |
| 一般注記 | 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 |
| 件 名 | LCSH:Physics FREE:Physics FREE:Mathematical Methods in Physics |
| 分 類 | DC23:530.15 |
| 書誌ID | OB00006947 |
| ISBN | 9783642147005 |