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A New Approach to Differential Geometry using Clifford's Geometric Algebra

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Cover of 'A New Approach to Differential Geometry using Clifford's Geometric Algebra'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Clifford Algebra in Euclidean 3-Space
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    Chapter 3 Clifford Algebra in Minkowski 4-Space
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    Chapter 4 Clifford Algebra in Flat n-Space
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    Chapter 5 Curved Spaces
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    Chapter 6 The Gauss–Bonnet Formula
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    Chapter 7 Some Extrinsic Geometry in E n
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    Chapter 8 *Non-Euclidean (Hyperbolic) Geometry
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    Chapter 9 *Ruled Surfaces Continued
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    Chapter 10 *Lines of Curvature
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    Chapter 11 *Minimal Surfaces
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    Chapter 12 Some General Relativity
Attention for Chapter 8: *Non-Euclidean (Hyperbolic) Geometry
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