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Foundations of Geometric Algebra Computing

Author: Dietmar Hildenbrand
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 2013.
Series: Geometry and computing, 8.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The author defines "Geometric Algebra Computing" as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Dietmar Hildenbrand
ISBN: 9783642317941 3642317944
OCLC Number: 1011983149
Description: 1 online resource
Contents: Chap. 1 Introduction --
Chap. 2 Mathematical Introduction --
Chap. 3 The Conformal Geometric Algebra --
Chap. 4 Maple and the Identification of Quaternions and Other Algebras --
Chap. 5 Fitting of Planes or Spheres into Point Sets --
Chap. 6 Geometric Algebra Tutorial Using CLUCalc --
Chap. 7 Inverse Kinematics of a Simple Robot --
Chap. 8 Robot Grasping an Object --
Chap. 9 Efficient Computer Animation Application in CGA --
Chap. 10 Using Gaalop for Performant Geometric Algebra Computing --
Chap. 11 Collision Detection Using the Gaalop Precompiler --
Chap. 12 Gaalop Precompiler for GPGPUs --
Chap. 13 Molecular Dynamics Using Gaalop GPC for OpenCL --
Chap. 14 Geometric Algebra Computers.
Series Title: Geometry and computing, 8.
Responsibility: by Dietmar Hildenbrand.

Abstract:

This book lays the foundation for the widespread use of geometric algebra as a new, up-and-coming field of geometrically intuitive and performant computing technology with a wide range of potential  Read more...

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From the book reviews:"This textbook addresses students (undergraduate to postgraduate), scientists and engineers with an interest in intuitive and highly efficient computer programs based on W. K. Read more...

 
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