书目名称 | Topology and Geometry for Physics |
编辑 | Helmut Eschrig |
视频video | |
概述 | Covers all the important topics of topology and geometry in physics in a very comprehensive way.Completely closed presentation of topological concepts for theoretical physics.Didactically well written |
丛书名称 | Lecture Notes in Physics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2011 |
关键词 | (Co)homology; Exterior calculus; Fiber bundles; Geometric phases; Riemannian geometry |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-14700-5 |
isbn_softcover | 978-3-642-14699-2 |
isbn_ebook | 978-3-642-14700-5Series ISSN 0075-8450 Series E-ISSN 1616-6361 |
issn_series | 0075-8450 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |