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The Geometry of Physics
Taschenbuch von Theodore Frankel
Sprache: Englisch

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Beschreibung
Provides a working knowledge of tools that are of great value in geometry and physics and in engineering.
Provides a working knowledge of tools that are of great value in geometry and physics and in engineering.
Über den Autor
Theodore Frankel received his PhD from the University of California, Berkeley. He is currently Emeritus Professor of Mathematics at the University of California, San Diego.
Inhaltsverzeichnis
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 Poincaré 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.
Details
Erscheinungsjahr: 2011
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9781107602601
ISBN-10: 1107602602
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Frankel, Theodore
Hersteller: Cambridge University Press
Maße: 244 x 170 x 40 mm
Von/Mit: Theodore Frankel
Erscheinungsdatum: 11.03.2011
Gewicht: 1,27 kg
Artikel-ID: 107687906
Über den Autor
Theodore Frankel received his PhD from the University of California, Berkeley. He is currently Emeritus Professor of Mathematics at the University of California, San Diego.
Inhaltsverzeichnis
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 Poincaré 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.
Details
Erscheinungsjahr: 2011
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9781107602601
ISBN-10: 1107602602
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Frankel, Theodore
Hersteller: Cambridge University Press
Maße: 244 x 170 x 40 mm
Von/Mit: Theodore Frankel
Erscheinungsdatum: 11.03.2011
Gewicht: 1,27 kg
Artikel-ID: 107687906
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