Smooth manifolds and observables /
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| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | English Russian |
| Publicado: |
New York :
Springer,
c2003.
|
| Series: | Graduate texts in mathematics ;
218 |
| Materias: | |
| Acceso en línea: | Publisher description |
| Etiquetas: |
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Tabla de Contenidos:
- 1. Introduction
- 2. Cutoff and Other Special Smooth Functions on Rn
- 3. Algebras and Points
- 4. Smooth Manifolds (Algebraic Definition)
- 5. Charts and Atlases
- 6. Smooth Maps
- 7. Equivalence of Coordinate and Algebraic Definitions
- 8. Spectra and Ghosts
- 9. The Differential Calculus as a Part of Commutative Algebra
- 10. Smooth Bundles
- 11. Vector Bundles and Projective Modules
- Afterword
- Appendix: Observability Principle, Set Theory and the "Foundations of Mathematics" / A. M. Vinogradov.