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An introduction to geometrical physics /
This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of optics, elasticity, gravitation, relativistic fields, particle mechanics and other subjects are underlined. It attempts to extricate the notio...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©1995.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 0. Space and geometry
- pt. I. Manifolds. 1. General topology
- 2. Homology
- 3. Homotopy
- 4. Manifolds & charts
- 5. Differentiable manifolds
- pt. II. Differentiable structure. 6. Tangent structure
- 7. Differential forms
- 8. Symmetries
- 9. Fiber bundles
- pt. III. Final touch. 10. Noncommutative geometry
- pt. IV. Mathematical topics. Math. 1. The basic algebraic structures
- Math. 2. Discrete groups. Braids and knots
- Math. 3. Sets and measures
- Math. 4. Topological linear spaces
- Math. 5. Banach algebras
- Math. 6. Representations
- Math. 7. Variations & functionals
- Math. 8. Functional forms
- Math. 9. Singular points
- Math. 10. Euclidean spaces and subspaces
- Math. 11. Non-Euclidean geometries
- Math. 12. Geodesics
- pt. V. Physical topics. Phys. 1. Hamiltonian mechanics
- Phys. 2. More mechanics
- Phys. 3. Statistics and elasticity
- Phys. 4. Propagation of discontinuities
- Phys. 5. Geometrical optics
- Phys. 6. Classical relativistic fields
- Phys. 7. Gauge fields
- Phys. 8. General relativity
- Phys. 9. De Sitter spaces
- Phys. 10. Symmetries on phase space.