Topology and Geometry for Physics: Volume 822 (Lecture Notes in Physics)

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9783642146992: Topology and Geometry for Physics: Volume 822 (Lecture Notes in Physics)
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“It consists of nine main chapters ... and the final Compendium which summarizes the volume in thirty two pages the basic geometric concepts and facts used in the book. ... the author really has achieved his purpose, namely he wrote a book rigorous in a mathematical sense, nevertheless not over-loaded by the physically non-necessary proofs and mathematical details, and at the same time giving to the reader a rigorous mathematical explanation of physical phenomena, often quite recently discovered and not commonly known.” (Jan Jerzy Sławianowski, Journal of Geometry and Symmetry in Physics, Vol. 25, 2012)

“The author describes well the purpose of this text. It is to present to the theoretical physicist much of modern mathematics s/he may need ... with an emphasis on the motivation for the new concepts introduced. ... The resulting book achieves these aims to a large extent. The new concepts are motivated ... from physical examples before a precise definition is given. ... Altogether this book contains a lot of useful material ... written in a very concise style.” (Hans-Peter Künzle, Mathematical Reviews, Issue 2012 a)

“The book is intended as bridging material between advanced graduate textbooks of modern analysis and mathematical physics ... . The text is of high quality and has the explicit aim to summarize and communicate current knowledge in an accessible way. The book mainly addresses students in solid state and statistical physics regarding the focus and the choice of examples of application, but it can be useful for particle physicists, too.” (S. Moskaliuk, Zentralblatt MATH, Vol. 1222, 2011)

Reseña del editor:

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.

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9783642147012: [( Topology and Geometry for Physics )] [by: Helmut Eschrig] [Feb-2011]

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ISBN 10:  3642147011 ISBN 13:  9783642147012
Editorial: Springer-Verlag Berlin and Heide..., 2011
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Helmut Eschrig (author)
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Descripción Springer Berlin Heidelberg 2011-02-09, Heidelberg, 2011. paperback. Condición: New. Nº de ref. del artículo: 9783642146992

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Eschrig, Helmut
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Descripción Condición: New. Publisher/Verlag: Springer, Berlin | 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. | From the contents:Introduction.- Topology.- Manifolds.- Tensor Fields.- Integration, Homology and Cohomology.- Lie Groups.- Bundles and Connections.- Parallelism, Holonomy, Homotopy and (Co)homology.- Riemannian Geometry.- Compendium | Format: Paperback | Language/Sprache: english | 590 gr | 235x155x21 mm | 390 pp. Nº de ref. del artículo: K9783642146992

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HELMUT ESCHRIG
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Descripción Springer, 2011. Paperback. Condición: NEW. 9783642146992 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE0353811

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Helmut Eschrig
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Descripción Springer-Verlag Gmbh Feb 2011, 2011. Taschenbuch. Condición: Neu. Neuware - 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. 389 pp. Englisch. Nº de ref. del artículo: 9783642146992

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Helmut Eschrig
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Descripción Springer, 2011. Paperback. Condición: New. Nº de ref. del artículo: DADAX3642146996

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Helmut Eschrig
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Descripción Springer-Verlag Gmbh Feb 2011, 2011. Taschenbuch. Condición: Neu. Neuware - 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. 389 pp. Englisch. Nº de ref. del artículo: 9783642146992

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Helmut Eschrig
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Descripción Springer-Verlag Gmbh Feb 2011, 2011. Taschenbuch. Condición: Neu. Neuware - 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. 389 pp. Englisch. Nº de ref. del artículo: 9783642146992

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Eschrig, Helmut
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Descripción Springer, 2018. Paperback. Condición: New. Never used! This item is printed on demand. Nº de ref. del artículo: 3642146996

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