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.
General
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