Geometric Algebra for Computer Science

Table of Contents

Instructions for online access

Cover

Title Page

Copyright

List of Figures

List of Tables

List of Programming Examples

Preface

Audience

History

Software

Acknowledgements

Chapter 1: Why geometric algebra?

1.1 An Example in Geometric Algebra

1.2 How It Works and How It’s Different

1.3 Programming Geometry

1.4 The Structure of This Book

1.5 The Structure of the Chapters

Part I: Geometric algebra

Chapter 2: Spanning oriented subspaces

2.1 Vector Spaces

2.2 Oriented Line Elements

2.3 Oriented Area Elements

2.4 Oriented Volume Elements

2.5 Quadvectors in 3-D are Zero

2.6 Scalars Interpreted Geometrically

2.7 Applications

2.8 Homogeneous Subspace Representation

2.9 The Graded Algebra of Subspaces

2.10 Summary of Outer Product Properties ...