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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 $${\mathbb R}^n$$
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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 Points, Spectra and Ghosts
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    Chapter 10 Symbols and the Hamiltonian Formalism
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    Chapter 11 Smooth Bundles
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    Chapter 12 Vector Bundles and Projective Modules
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    Chapter 13 Localization
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    Chapter 14 Differential 1-forms and Jets
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    Chapter 15 Functors of the Differential Calculus and their Representations
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    Chapter 16 Cosymbols, Tensors, and Smoothness
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    Chapter 17 Spencer Complexes and Differential Forms
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    Chapter 18 The (Co)Chain Complexes Coming from the Spencer Sequence
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    Chapter 19 Differential Forms: Classical and Algebraic Approach
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    Chapter 20 Cohomology
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    Chapter 21 Differential Operators over Graded Algebras
Attention for Chapter 4: Smooth Manifolds (Algebraic Definition)
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