Applications of Geometric Algebra in Computer Science and Engineering (PDF)

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.