Foundations of Geometric Algebra Computing: 8 (Geometry and Computing, 8) - Tapa dura

Libro 7 de 12: Geometry and Computing

Hildenbrand, Dietmar

 
9783642317934: Foundations of Geometric Algebra Computing: 8 (Geometry and Computing, 8)
Tapa dura
ISBN 10: 3642317936 ISBN 13: 9783642317934
Editorial: Springer, 2012

Sinopsis

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 invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics.

This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications.

The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

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Acerca del autor

Dr.-Ing. Dietmar Hildenbrand is the manager of the interdisciplinary research priority program Cocoon (Cooperative Sensor Communication) at the Technische Universitat Darmstadt. He is one of the codevelopers of Gaalop (Geometic Algebra Algorithms Optimizer) a software package used to optimize geometric algebra files, and his research interests include geometric algebra, robotics, game engines, computer graphics, and high-performance parallel computing.

De la contraportada

<p>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 invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics.</p><p><p>This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications.</p><p>The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.</p></p>

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3642317936
ISBN 13 
9783642317934
Encuadernación
Tapa dura
Número de páginas
226
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783642445729: Foundations of Geometric Algebra Computing: 8 (Geometry and Computing)

Edición Destacada

ISBN 10:  3642445721 ISBN 13:  9783642445729
Editorial: Springer, 2015
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