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 highligh...

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Bibliographic Details
Corporate Authors: SpringerLink (Online service), AGACSE 2001
Other Authors: Dorst, Leo, 1958-, Doran, Chris (Chris J. L.), Lasenby, J. (Joan)
Format: Conference Proceeding eBook
Language:English
Published: Boston : Birkhäuser, [2002]
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Proceedings of AGACSE 2001, held July 9-13,2001, in Newnham College, Cambridge.
Electronic resource.
Physical Description:1 online resource (xxiv, 478 pages) : illustrations
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references.
ISBN:9781461200895 (electronic bk.)
146120089X (electronic bk.)