State-of-the-art survey chapters by leading researchers covering geometric algebra---a powerful mathematical tool for solving problems in computer science, engineering, physics, and mathematics. Focus is on interdisciplinary applications and techniques. Self-contained assuming only a knowledge of linear algebra and calculus. Professionals and researchers interested in geometric algebra and its applications will find this book an excellent up-to-date reference and resource. Also appealing to graduate students who need to become familar with the most recent research, results, and methods.However, it cannot be readily extended beyond three dimensions, and although it uses the half angles to relate rotation products, ... However, in spaces of more than three dimensions, we must use bivectors and their planes of rotation rather than axes of rotation. ... The composition of rotations is given by products R2Ri of rotors in Spin (n); it is not necessary to compute the full ... Any great-circle arc of length 9 between zero and r is uniquely identified by its two end points, say a and b.
|Title||:||Applications of Geometric Algebra in Computer Science and Engineering|
|Author||:||Leo Dorst, Chris Doran, Joan Lasenby|
|Publisher||:||Springer Science & Business Media - 2002-03-08|