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    Richard Bausch 9780307266262

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Geometric Algebra for Computer Graphics

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Synopses & Reviews

Publisher Comments:

Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It took over two thousand years to discover this algebra, which uses a simple and consistent notation to describe vectors and their products. John Vince (best-selling author of a number of books including 'Geometry for Computer Graphics' and 'Vector Analysis for Computer Graphics') tackles this new subject in his usual inimitable style, and provides an accessible and very readable introduction. The first five chapters review the algebras of real numbers, complex numbers, vectors, and quaternions and their associated axioms, together with the geometric conventions employed in analytical geometry. As well as putting geometric algebra into its historical context, John Vince provides chapters on Grassmann's outer product and Clifford's geometric product, followed by the application of geometric algebra to reflections, rotations, lines, planes and their intersection. The conformal model is also covered, where a 5D Minkowski space provides an unusual platform for unifying the transforms associated with 3D Euclidean space. Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.

Synopsis:

The author tackles this complex subject of Geometric algebra (a Clifford Algebra) with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated.

Synopsis:

Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.

Table of Contents

Introduction.- Elementary Algebra.- Complex Algebra.- Vector Algebra.- Quaternion Algebra.- Geometric Conventions.- History of Geometric Algebra.- The Geometric Product.- Reflections and Rotations.- Geometric Algebra and Geometry.- Conformal Geometry.- Applications of Geometric Algebra in Computer Graphics.- Programming Tools for Geometric Algebra.- Conclusion.- References.

Product Details

ISBN:
9781849966979
Author:
Vince, John A.
Publisher:
Springer
Author:
Vince, John
Location:
London
Subject:
Computer Graphics - General
Subject:
Algebra
Subject:
Clifford-Algebra
Subject:
Computer graphics
Subject:
geometric algebra
Subject:
Algebraic Geometry
Subject:
Math Applications in Computer Science
Subject:
Geometry
Subject:
Graphics-General
Subject:
Computer Science
Subject:
B
Subject:
Geometry - Algebraic
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2008
Publication Date:
20101105
Binding:
TRADE PAPER
Language:
English
Pages:
272
Dimensions:
235 x 178 mm 474 gr

Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Graphics » General
Computers and Internet » Personal Computers » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Geometric Algebra for Computer Graphics New Trade Paper
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Product details 272 pages Springer - English 9781849966979 Reviews:
"Synopsis" by , The author tackles this complex subject of Geometric algebra (a Clifford Algebra) with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated.
"Synopsis" by , Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
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