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 *
Applications in computational geometry include models of reflection and ray-tracing and a new
and concise characterization of the crystallographic groups * Applications in engineering
include robotics image geometry control-pose estimation inverse kinematics and dynamics
control and visual navigation * Applications in physics include rigid-body dynamics elasticity
and electromagnetism * Chapters dedicated to quantum information theory dealing with multi-
particle entanglement MRI and relativistic generalizations Practitioners professionals and
researchers working in computer science engineering physics and mathematics will find a wide
range of useful applications in this state-of-the-art survey and reference book. Additionally
advanced graduate students interested in geometric algebra will find the most current
applications and methods discussed.
