Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
Author(s): John Vince
Edition: 1
Publisher: Springer
Year: 2008
Language: English
Pages: 272
City: London
Tags: 3D; Algebra; Clifford Algebra; Geometric Algebra; Calculus; Computer Graphics; Geometry; Reflection
Front Matter
Pages i-xvi
Introduction
Pages 1-3
Elementary Algebra
Pages 5-10
Complex Algebra
Pages 11-22
Vector Algebra
Pages 23-37
Quaternion Algebra
Pages 39-48
Geometric Conventions
Pages 49-54
Geometric Algebra
Pages 55-77
The Geometric Product
Pages 79-124
Reflections and Rotations
Pages 125-153
Geometric Algebra and Geometry
Pages 155-197
Conformal Geometry
Pages 199-230
Applications of Geometric Algebra
Pages 231-240
Programming Tools for Geometric Algebra
Pages 241-242
Conclusion
Pages 243-243
Back Matter
Pages 245-252
