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Differential Geometry: Manifolds, Curves, and Surfaces

Overview of attention for book
Cover of 'Differential Geometry: Manifolds, Curves, and Surfaces'

Table of Contents

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    Book Overview
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    Chapter 1 Background
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    Chapter 2 Differential Equations
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    Chapter 3 Differentiable Manifolds
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    Chapter 4 Partitions of Unity, Densities and Curves
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    Chapter 5 Critical Points
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    Chapter 6 Differential Forms
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    Chapter 7 Integration of Differential Forms
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    Chapter 8 Degree Theory
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    Chapter 9 Curves: The Local Theory
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    Chapter 10 Plane Curves: The Global Theory
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    Chapter 11 A Brief Guide to the Local Theory of Surfaces in R 3
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    Chapter 12 A Brief Guide to the Global Theory of Surfaces
Attention for Chapter 7: Integration of Differential Forms
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