Geometry of Physics An Introduction

Name: Geometry of Physics An Introduction
Availability: InStock
ISBN: 9781107602601

ISBN-10: 1107602602

ISBN-13: 9781107602601

Edition: 3rd 2011

Authors: Theodore Frankel

List price: $115.00

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Description:

This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential for an understanding of physics.

Book details

List price: $115.00
Edition: 3rd
Copyright year: 2011
Publisher: Cambridge University Press
Publication date: 11/3/2011
Binding: Paperback
Pages: 748
Size: 6.75" wide x 10.00" long x 1.25" tall
Weight: 2.860
Language: English



Preface to the Third Edition


Preface to the Second Edition


Preface to the revised printing


Preface to the First Edition


Overview



Manifolds, Tensors, and Exterior Forms



Manifolds and vector fields



Tensors and exterior forms



Integration of differential forms



The Lie derivative



The Poincarï¿½ Lemma and potentials



Holonomic and nonholonomic constraints



Geometry and Topology



R3 and Minkowski space



The geometry of surfaces in R3



Covariant differentiation and curvature



Geodesics



Relativity, tensors, and curvature



Curvature and topology: Synge's theorem



Betti numbers and De Rham's theorem



Harmonic forms



Lie Groups, Bundles, and Chern Forms



Lie groups



Vector bundles in geometry and physics



Fiber bundles, Gauss-Bonnet, and topological quantization



Connections and associated bundles



The Dirac equation



Yang-Mills fields



Betti numbers and covering spaces



Chern forms and homotopy groups



Forms in continuum mechanics



Harmonic chains and Kirchhoff's circuit laws



Symmetries, quarks, and Meson masses



Representations and hyperelastic bodies



Orbits and Morse-Bott theory in compact Lie groups