Smooth manifolds and observables
Jet Nestruev.
New York : Springer, ©2003.
xiv, 222 págs. : ilustraciones ; 25 cm.
Serie: Graduate texts in mathematics ; 218
ISBN: 0387955437 (alk. paper)
Incluye referencias bibliográficas (p. [217]-218) e índice.
Reseña: MathSciNet, 2003m:58001
Contenido
- 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.
