Geometry of Physics An Introduction

ISBN-10: 1107602602

ISBN-13: 9781107602601

Edition: 3rd 2011

Authors: Theodore Frankel
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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.

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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: 3.498
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 Poincar� 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
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