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Exploring Curvature

Overview of attention for book
Cover of 'Exploring Curvature'

Table of Contents

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    Book Overview
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    Chapter 1 The Evolution of Geometry
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    Chapter 2 Basic Operations
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    Chapter 3 Intersecting with a Closed Ball
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    Chapter 4 Mappings
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    Chapter 5 Preserving Closeness: Continuous Mappings
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    Chapter 6 Keeping Track of Magnitude, Direction and Sense: Vectors
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    Chapter 7 Curves
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    Chapter 8 Arc Length
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    Chapter 9 Tangent
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    Chapter 10 Curvature of Curves
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    Chapter 11 Surfaces
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    Chapter 12 Surface Measurements
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    Chapter 13 Intrinsic Geometry of a Surface
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    Chapter 14 Gauss (1777-1855)
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    Chapter 15 Normal Sections
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    Chapter 16 Gaussian Curvature
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    Chapter 17 Riemann (1826–1866)
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    Chapter 18 Levi-Civita (1873–1941)
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    Chapter 19 Parallel Transport of a Vector on a Surface
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    Chapter 20 Geodesics
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    Chapter 21 Geometry and Reality
Attention for Chapter 4: Mappings
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