Applications of Geometric Algebra in Computer Science and Engineering

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.