Topology and Geometry for Physicists

Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics.

Topology and Geometry for Physicists

Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research. "Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.

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Topology and Geometry for Physicists
Language: en
Pages: 320
Authors: Charles Nash, Siddhartha Sen
Categories: Mathematics
Type: BOOK - Published: 2013-08-16 - Publisher: Courier Corporation

Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or
Topology and Geometry for Physics
Language: en
Pages: 390
Authors: Helmut Eschrig
Categories: Science
Type: BOOK - Published: 2011-02-09 - Publisher: Springer Science & Business Media

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
Geometry, Topology and Physics
Language: en
Pages: 596
Authors: Mikio Nakahara
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: Taylor & Francis

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate
Topology and Geometry in Physics
Language: en
Pages: 358
Authors: Eike Bick
Categories: Mathematics
Type: BOOK - Published: 2005-01-18 - Publisher: Springer Science & Business Media

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written
Topology and Geometry for Physics
Language: en
Pages: 390
Authors: Helmut Eschrig
Categories: Science
Type: BOOK - Published: 2011-01-26 - Publisher: Springer

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