Applications of Geometric Algebra in Computer Science and Engineering [Hardcover]

Leo Dorst (Editor), Chris Doran (Editor), Joan Lasenby (Editor)

Book Description

Publication Date: March 8, 2002 | ISBN-10: 0817642676 | ISBN-13: 978-0817642679 | Edition: 1

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.

Editorial Reviews

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

Product Details

• Hardcover: 502 pages
• Publisher: Birkhäuser Boston; 1 edition (March 8, 2002)
• Language: English
• ISBN-10: 0817642676
• ISBN-13: 978-0817642679
• Product Dimensions: 9.7 x 6.1 x 1.1 inches
• Shipping Weight: 2 pounds (View shipping rates and policies)
• Average Customer Review: 1.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #2,857,609 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

11 of 15 people found the following review helpful:

1.0 out of 5 stars Rip-off !!!!, December 10, 2006

By 

Sergio O. Parreiras "Sergio Parreiras" (Chapel Hill, NC United States) - See all my reviews
(REAL NAME)   

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This review is from: Applications of Geometric Algebra in Computer Science and Engineering (Hardcover)

This was a complete waste of money...

Ok, this guys make a conference and then publish the proceedings...

The papers (I mean "chapters") are quite specialized. The claim in

the back cover that "relevant ideas are introduced in a self-contained

manner and only a knowledge of calculus and linear algebra is assumed"

is just a straight lie. My interested in the book was chapter 12,

systems of partial differential equations but I obtained just a brief

summary of the theory that is not useful at all.