Nestruev, Jet.
Smooth manifolds and observables / Jet Nestruev.
— New York : Springer, c2003. xiv, 222 p. : il. ; 25 cm. — (Graduate texts in mathematics ; 218)
Incluye referencias bibliográficas (p. [217]-218) e índice.
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.
ISBN 0387955437 (alk. paper)
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