INVARIANT ALGEBRAS AND GEOMETRIC REASONING - Hardcover

Li, Hongbo

Hardcover

ISBN 10: 9812708081 ISBN 13: 9789812708083

Publisher: World Scientific Publishing Company, 2008

Synopsis

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics -- among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras -- Cayley bracket algebra, conformal geometric algebra, and null bracket algebra -- for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.

About this title

Review

This carefully written book is intended for both researchers in geometric algebra and graduate students in mathematics. The first several sections of all chapters can also be used as an undergraduate course on Clifford algebras. --Zentralblatt MATH

Throughout, the book features a host of worked out examples and gives a very unified systematic presentation of a wide variety of material. --Mathematical Reviews

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2008
• ISBN 10: 9812708081
• ISBN 13: 9789812708083
• Binding: Hardcover
• Number of pages: 532