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Smooth Manifolds and Observables

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Cover of 'Smooth Manifolds and Observables'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Cutoff and Other Special Smooth Functions on ℝ n
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    Chapter 3 Algebras and Points
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    Chapter 4 Smooth Manifolds (Algebraic Definition)
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    Chapter 5 Charts and Atlases
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    Chapter 6 Smooth Maps
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    Chapter 7 Equivalence of Coordinate and Algebraic Definitions
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    Chapter 8 Spectra and Ghosts
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    Chapter 9 The Differential Calculus as a Part of Commutative Algebra
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    Chapter 10 Smooth Bundles
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    Chapter 11 Vector Bundles and Projective Modules
Attention for Chapter 8: Spectra and Ghosts
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