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Geometric Algebra: An Algebraic System for Computer Games and Animation

By John A. Vince

  • eBook Price: $49.95
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Geometric Algebra: An Algebraic System for Computer Games and Animation Cover Image

This book uses 3D colour drawings and tabulations of algebraic expansions to provide new insights into geometric algebra and its application to computer games and animation. It is filled with many worked examples and full-colour illustrations and tables.

Full Description

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  • ISBN13: 978-1-8488-2378-5
  • 216 Pages
  • User Level: Students
  • Publication Date: May 20, 2009
  • Available eBook Formats: PDF
Full Description
Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style. This restricts the readership of such books especially by programmers working in computer graphics, who simply want guidance on algorithm design. Geometric algebra provides a unified algebraic system for solving a wide variety of geometric problems. John Vince reveals the beauty of this algebraic framework and communicates to the reader new and unusual mathematical concepts using colour illustrations, tabulations, and easy-to-follow algebraic proofs. The book includes many worked examples to show how the algebra works in practice and is essential reading for anyone involved in designing 3D geometric algorithms.
Table of Contents

Table of Contents

  1. Introduction.
  2. Products.
  3. Vector Products.
  4. The Geometric Product.
  5. Geometric Algebra.
  6. Products in 2D.
  7. Products in 3D.
  8. Reflections and Rotations.
  9. Applied Geomteric Algebra.
  10. Conclusion.
  11. Appendices.

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