| Preface to the English Edition Preface 1 Introduction 2 Cutoff and Other Special Smooth Functions on R[superscript n] 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" References Index |
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