Applications of Geometric Algebra in Computer Science and Engineering
Editors: Dorst, Leo, Doran, Chris, Lasenby, Joan (Eds.)
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 About this book

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 selfcontained 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 raytracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, controlpose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigidbody 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 stateoftheart survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.
 Reviews

"This book contains papers presented at the conference "Applied Geometric Algebra in Computer Science and Engineering" (AGACSE 2001)…. The goal was to demonstrate how the framework of geometric algebra (Clifford algebra) could unify and illuminate diverse fields of science and engineering.
The articles reveal [a] range [of] fields: from quantum physics to robotics, from crystallographic groups to image understanding, from relativistic mechanics to signal processing. Despite this diversity, the combination of these subjects was not felt to be artificial.
This book should be…useful to mathematicians…physicists, [and] to mechanical and computer engineers."
—Iasi Polytechnic Magazine
"The conference ‘Applied Geometric Algebras in Computer Science and Engineering’ (AGACSE 2001) was held… July 9–13, 2001. The present book contains the papers of this scientific meeting and reflects the constantly growing interest in searching the applications of geometric algebra (or Clifford algebra) in various fields of science.
Geometric algebra includes a lot of techniques from several mathematical theories (linear algebra, vector calculus, projective geometry, complex analysis) and offers new directions in some unexpected domains like quantum physics, robotics, crystallographic groups, image understanding, relativistic mechanics, signal processing.
The volume begins with a preface written by the Editors and a useful list with contributors…. There are four sections: Algebra and Geometry…, Applications to Physics…, Computer Vision and Robotics…, Signal Processing and Other Applications….
In conclusion, a very useful book both for beginners and specialists!"
—Memoriile Sectiilor Stiintifice
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Bibliographic Information
 Bibliographic Information

 Book Title
 Applications of Geometric Algebra in Computer Science and Engineering
 Editors

 Leo Dorst
 Chris Doran
 Joan Lasenby
 Copyright
 2002
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Springer Science+Business Media New York
 eBook ISBN
 9781461200895
 DOI
 10.1007/9781461200895
 Hardcover ISBN
 9780817642679
 Softcover ISBN
 9781461266068
 Edition Number
 1
 Number of Pages
 XXV, 478
 Topics