 Filled with lots of clear examples
 Very well illustrated
 Tackles the complex subject of geometric algebra and explains, in detail, how the algebra operates together with its relationship with traditional vector analysis
Buy this book
 About this Textbook

Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It took over two thousand years to discover this algebra, which uses a simple and consistent notation to describe vectors and their products.
John Vince (bestselling author of a number of books including ‘Geometry for Computer Graphics’ and ‘Vector Analysis for Computer Graphics’) tackles this new subject in his usual inimitable style, and provides an accessible and very readable introduction.
The first five chapters review the algebras of real numbers, complex numbers, vectors, and quaternions and their associated axioms, together with the geometric conventions employed in analytical geometry. As well as putting geometric algebra into its historical context, John Vince provides chapters on Grassmann’s outer product and Clifford’s geometric product, followed by the application of geometric algebra to reflections, rotations, lines, planes and their intersection. The conformal model is also covered, where a 5D Minkowski space provides an unusual platform for unifying the transforms associated with 3D Euclidean space.
Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.
 Table of contents (14 chapters)


Introduction
Pages 13

Elementary Algebra
Pages 510

Complex Algebra
Pages 1122

Vector Algebra
Pages 2337

Quaternion Algebra
Pages 3948

Table of contents (14 chapters)
Buy this book
Recommended for you
Bibliographic Information
 Bibliographic Information

 Book Title
 Geometric Algebra for Computer Graphics
 Authors

 John Vince
 Copyright
 2008
 Publisher
 SpringerVerlag London
 Copyright Holder
 SpringerVerlag London
 eBook ISBN
 9781846289972
 DOI
 10.1007/9781846289972
 Hardcover ISBN
 9781846289965
 Softcover ISBN
 9781849966979
 Edition Number
 1
 Number of Pages
 XVI, 256
 Number of Illustrations
 125 b/w illustrations
 Topics