The geometry of physics : an introduction /
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| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Cambridge :
Cambridge University Press,
2001, c1997.
|
| Edición: | Rev. ed. |
| Materias: | |
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| LEADER | 01903pam a2200277 a 4500 | ||
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| 001 | MAT.inmabb003735 | ||
| 008 | 951030t20011997enka#####b####001#0#eng## | ||
| 005 | 20130311161734.0 | ||
| 245 | 1 | 4 | |a The geometry of physics : |b an introduction / |c Theodore Frankel. |
| 250 | |a Rev. ed. | ||
| 260 | |a Cambridge : |b Cambridge University Press, |c 2001, c1997. | ||
| 300 | |a xxiv, 666 p. : |b il. ; |c 26 cm. | ||
| 500 | |a Contiene correcciones a la ed. de 1997, y un nuevo apéndice. | ||
| 504 | |a Incluye referencias bibliográficas (p. 651-653) e índice. | ||
| 505 | 0 | |a Part 1. 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. | |
| 505 | 0 | |a Part 2. 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. | |
| 505 | 0 | |a Part 3. 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. | |
| 505 | 0 | |a Appendix A. Forms in continuum mechanics -- Appendix B. Harmonic chains and Kirchhoff's circuit laws. | |
| 510 | 4 | |a MR, |c 98h:58001 | |
| 020 | |a 0521387531 (pbk) | ||
| 020 | |a 052138334X | ||
| 100 | 1 | |a Frankel, Theodore, |d 1929- | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mathematical physics. | |
| 084 | |a 58-01 (53-01) |2 msc2000 | ||
| 859 | |h 58 |i F829 |p A-7975 |b BIB. MATEMATICA | ||