Applications of Geometric Algebra in Computer Science and Engineering [Hardcover]

Geometric algebra has established itself as a powerful and valuablemathematical tool for solving problems in computer science,engineering, physics, and mathematics. The articles in this volume,written by experts in various fields, reflect an interdisciplinaryapproach to the subject, and highlight a range of techniques andapplications. Relevant ideas are introduced in a self-contained mannerand only a knowledge of linear algebra and calculus is assumed.Features and Topics:* The mathematical foundations of geometric algebra are explored* Applications in computational geometry include models of reflectionand ray-tracing and a new and concise characterization of thecrystallographic groups* Applications in engineering include robotics, image geometry,control-pose estimation, inverse kinematics and dynamics, control andvisual navigation* Applications in physics include rigid-body dynamics, elasticity, andelectromagnetism* Chapters dedicated to quantum information theory dealing with multi-particle entanglement, MRI, and relativistic generalizationsPractitioners, professionals, and researchers working in computerscience, engineering, physics, and mathematics will find a wide rangeof useful applications in this state-of-the-art survey and referencebook. Additionally, advanced graduate students interested in geometricalgebra will find the most current applications and methods discussed.

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed.

Features and Topics:

* The mathematical foundations of geometric algebra are explored