Applications of Geometric Algebra in Computer Science and Engineering
Leo Dorst
Sold by buchversandmimpf2000, Emtmannsberg, BAYE, Germany
AbeBooks Seller since 23 January 2017
New - Hardcover
Condition: New
Quantity: 2 available
Add to basketSold by buchversandmimpf2000, Emtmannsberg, BAYE, Germany
AbeBooks Seller since 23 January 2017
Condition: New
Quantity: 2 available
Add to basketNeuware -Geometric algebra has established itself as a powerful and valuablemathematical tool for solving problems in computer scienceengineering, physics, and mathematics. The articles in this volumewritten by experts in various fields, reflect an interdisciplinaryapproach to the subject, and highlight a range of techniques andapplications. Relevant ideas are introduced in a self-contained mannerand 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 reflectionand ray-tracing and a new and concise characterization of thecrystallographic groups\* Applications in engineering include robotics, image geometrycontrol-pose estimation, inverse kinematics and dynamics, control andvisual navigation\* Applications in physics include rigid-body dynamics, elasticity, andelectromagnetism\* Chapters dedicated to quantum information theory dealing with multiparticle entanglement, MRI, and relativistic generalizationsPractitioners, professionals, and researchers working in computerscience, engineering, physics, and mathematics will find a wide rangeof useful applications in this state-of-the-art survey and referencebook. Additionally, advanced graduate students interested in geometricalgebra will find the most current applications and methods discussed.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 508 pp. Englisch.
Seller Inventory # 9780817642679
"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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