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Titlebook: Topology and Geometry for Physics; Helmut Eschrig Book 2011 Springer-Verlag Berlin Heidelberg 2011 (Co)homology.Exterior calculus.Fiber bu

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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Titlebook: Topology and Geometry for Physics;  Helmut Eschrig Book 2011 Springer-Verlag Berlin Heidelberg 2011 (Co)homology.Exterior calculus.Fiber bu
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
doihttps://doi.org/10.1007/978-3-642-14700-5
isbn_softcover978-3-642-14699-2
isbn_ebook978-3-642-14700-5Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2011
The information of publication is updating

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Helmut Eschrigstudy consists of an analysis of pollutant transport and dispersion from various emittors located in the city, using a coupled system of mesoscale and micro-scale atmospheric numerical models. Simulations of atmospheric flow with the mesoscale model over a 20 × 20 km domain (horizontal resolution: 5
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Helmut Eschrigeach agent is assumed to have the willingness to cooperate toward a common goal of the system even at the cost of sacrificing its own benefits. Therefore, the behaviors of each agent in cooperative environments can be determined by the designer(s) of the system, which thus allows for intricate coord
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Introduction,Topology and continuity on the one hand and geometry or metric and distance on the other hand are intimately connected pairs of concepts of central relevance both in analysis and physics. A totally non-trivial concept in this connection is parallelism.
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