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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.
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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
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- PublisherBirkhäuser
- Publication date2012
- ISBN 10 1461266068
- ISBN 13 9781461266068
- BindingPaperback
- LanguageEnglish
- Number of pages503
- EditorDorst Leo, Doran Chris, Lasenby Joan
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Applications of Geometric Algebra in Computer Science and Engineering
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Applications of Geometric Algebra in Computer Science and Engineering
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 interdiscipl. Seller Inventory # 4189251
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Applications of Geometric Algebra in Computer Science and Engineering
Published by
Birkhäuser Boston Okt 2012, 2012
ISBN 10: 1461266068
ISBN 13: 9781461266068
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 508 pp. Englisch. Seller Inventory # 9781461266068
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Applications of Geometric Algebra in Computer Science and Engineering
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Birkhäuser Boston, Birkhäuser Boston, 2012
ISBN 10: 1461266068
ISBN 13: 9781461266068
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781461266068
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Applications of Geometric Algebra in Computer Science and Engineering
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Applications of Geometric Algebra in Computer Science and Engineering
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Birkhäuser Boston, Birkhäuser Boston Okt 2012, 2012
ISBN 10: 1461266068
ISBN 13: 9781461266068
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Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. Neuware -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 # 9781461266068
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Applications of Geometric Algebra in Computer Science and Engineering
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