Applications of Geometric Algebra in Computer Science and Engineering - Softcover

Softcover

ISBN 10: 1461266068 ISBN 13: 9781461266068

Publisher: Birkhäuser, 2012

Synopsis

State-of-the-art survey chapters by leading researchers covering geometric algebra---a powerful mathematical tool for solving problems in computer science, engineering, physics, and mathematics. Focus is on interdisciplinary applications and techniques. Self-contained assuming only a knowledge of linear algebra and calculus. Professionals and researchers interested in geometric algebra and its applications will find this book an excellent up-to-date reference and resource. Also appealing to graduate students who need to become familar with the most recent research, results, and methods.

About this title

Review

"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

Edition details

• Publisher: Birkhäuser
• Publication date: 2012
• Language: English
• ISBN 10: 1461266068
• ISBN 13: 9781461266068
• Binding: Paperback
• Number of pages: 503
• Editor: Dorst Leo, Doran Chris, Lasenby Joan