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Download Applications of Geometric Algebra in Computer Science and Engineering fb2, epub

by Leo Dorst,Chris Doran,Joan Lasenby

Download Applications of Geometric Algebra in Computer Science and Engineering fb2, epub

ISBN: 0817642676
Author: Leo Dorst,Chris Doran,Joan Lasenby
Language: English
Publisher: Birkhäuser; 2002 edition (March 8, 2002)
Pages: 478
Category: Mathematics
Subcategory: Science
Rating: 4.2
Votes: 288
Size Fb2: 1326 kb
Size ePub: 1969 kb
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This book contains papers presented at the conference "Applied Geometric Algebra in Computer Science and . The conference ‘Applied Geometric Algebras in Computer Science and Engineering’ (AGACSE 2001) was hel. uly 9–13, 2001.

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 range fields: from quantum physics to robotics, from crystallographic groups to image understanding, from relativistic mechanics to signal processing.

This book contains papers presented at the conference "Applied Geometric Algebra in Computer Science and Engineering" (AGACSE 2001).

eBook 91,62 €. price for Russian Federation (gross). This book contains papers presented at the conference "Applied Geometric Algebra in Computer Science and Engineering" (AGACSE 2001.

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. Leo Dorst, Chris Doran, Joan Lasenby. 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.

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics

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

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. Features and Topics: The mathematical foundations of geometric algebra are explored. Relevant ideas are introduced in Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics.

Leo Dorst, Chris J. L. Doran, Joan Lasenby: Applications of geometric algebra in. Doran, Joan Lasenby: Applications of geometric algebra in computer science and engineering, Birkhäuser, 2002, ISBN 0-8176-4267-6. Chris J. Doran: Geometric Algebra and its Application to Mathematical Physics, Sidney Sussex College, Dissertation submitted for the degree of Doctor of Philosophy in the University of Cambridge, February 1994. Selected articles and book chapters. C. J. Doran, A. N. Lasenby, S. F. Gull, S. Somaroo, A. D. Challinor: Spacetime algebra and electron physics, Measurement, vol. 5, 2005, arXiv: quant-ph/0509178, abstract.

Geometric Algebra is becoming increasingly important in computer science. in Computer Science and Pure Mathematics from the University of California, Berkeley, and a P. This book is a comprehensive introduction to Geometric Algebra with detailed descriptions of important applications. While requiring serious study, it has deep and powerful insights into GA's usage. It has excellent discussions of how to actually implement GA on the computer. in Computer Science and Engineering from the University of Washington. The first book on Geometric Algebra for programmers in computer graphics and entertainment computing.

Leo Dorst, Chris Doran, Joan Lasenby

Leo Dorst, Chris Doran, Joan Lasenby. Preface Contributors Part I. Algebra and Geometry Point Groups and Space Groups in Geometric Algebra (D. Hestenes) The Inner Products of Geometric Algebra (L. Dorst) Unification of Grassmann's Progressive and Regressive Products using the Principle of Duality (S. Blake) From Unoriented Subspaces to Blade Operators (. Bouma) Automated Theorem Proving in the Homogeneous Model with Clifford Bracket Algebra (H. Li) Rotations.

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.

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