Geometric algebra: an algebraic system for computer games and animation

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. Geomtric 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. Uses 3Dcolour drawings and tabulations of algebraic expansions to reveal a new way of looking at the algebra INDICE: Introduction.- Products.- Vector Products.- The Geometric Product.- Geometric Algebra.- Products in 2D.- Products in 3D.- Reflections and Rotations.- Applied Geomteric Algebra.- Conclusion.- Appendices.

• ISBN: 978-1-84882-378-5
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 200
• Fecha Publicación: 01/07/2009
• Nº Volúmenes: 1
• Idioma: Inglés