The Geometry of Physics : an Introduction (Book, 2011) [WorldCat.org]
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The Geometry of Physics : an Introduction

Publisher: [Erscheinungsort nicht ermittelbar] : Cambridge University Press, 2011.
Edition/Format:   Print book : English : 3 Aufl
Publication:Geometry of Physics.
Summary:

Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a  Read more...

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Document Type: Book
ISBN: 1107602602 9781107602601
OCLC Number: 772631391
In: Frankel, Theodore
Description: 768 Seiten
Contents: Preface to the Third Edition; Preface to the Second Edition; Preface to the revised printing; Preface to the First Edition; Overview; Part I. Manifolds, Tensors, and Exterior Forms: 1. Manifolds and vector fields; 2. Tensors and exterior forms; 3. Integration of differential forms; 4. The Lie derivative; 5. The Poincare Lemma and potentials; 6. Holonomic and nonholonomic constraints; Part II. Geometry and Topology: 7. R3 and Minkowski space; 8. The geometry of surfaces in R3; 9. Covariant differentiation and curvature; 10. Geodesics; 11. Relativity, tensors, and curvature; 12. Curvature and topology: Synge's theorem; 13. Betti numbers and De Rham's theorem; 14. Harmonic forms; Part III. Lie Groups, Bundles, and Chern Forms: 15. Lie groups; 16. Vector bundles in geometry and physics; 17. Fiber bundles, Gauss-Bonnet, and topological quantization; 18. Connections and associated bundles; 19. The Dirac equation; 20. Yang-Mills fields; 21. Betti numbers and covering spaces; 22. Chern forms and homotopy groups; Appendix A. Forms in continuum mechanics; Appendix B. Harmonic chains and Kirchhoff's circuit laws; Appendix C. Symmetries, quarks, and Meson masses; Appendix D. Representations and hyperelastic bodies; Appendix E. Orbits and Morse-Bott theory in compact Lie groups.
Responsibility: Frankel, Theodore.

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Review of previous edition: '... highly readable and enjoyable ... The book will make an excellent course text or self-study manual for this interesting subject.' Physics Today Review of previous Read more...

 
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