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The Resource Geometric algebra : an algebraic system for computer games and animation, John Vince

Geometric algebra : an algebraic system for computer games and animation, John Vince

Label
Geometric algebra : an algebraic system for computer games and animation
Title
Geometric algebra
Title remainder
an algebraic system for computer games and animation
Statement of responsibility
John Vince
Creator
Subject
Language
eng
Summary
The true power of vectors has never been exploited, for over a century, mathematicians, engineers, scientists, and more recently programmers, have been using vectors to solve an extraordinary range of problems. However, today, we can discover the true potential of oriented, lines, planes and volumes in the form of geometric algebra. As such geometric elements are central to the world of computer games and computer animation, geometric algebra offers programmers new ways of solving old problems. John Vince (best-selling author of a number of books including Geometry for Computer Graphics, Vector Analysis for Computer Graphics and Geometric Algebra for Computer Graphics) provides new insights into geometric algebra and its application to computer games and animation. The first two chapters review the products for real, complex and quaternion structures, and any non-commutative qualities that they possess. Chapter three reviews the familiar scalar and vector products and introduces the idea of 'dyadics', which provide a useful mechanism for describing the features of geometric algebra. Chapter four introduces the geometric product and defines the inner and outer products, which are employed in the following chapter on geometric algebra. Chapters six and seven cover all the 2D and 3D products between scalars, vectors, bivectors and trivectors. Chapter eight shows how geometric algebra brings new insights into reflections and rotations, especially in 3D. Finally, chapter nine explores a wide range of 2D and 3D geometric problems followed by a concluding tenth chapter. Filled with lots of clear examples, full-colour illustrations and tables, this compact book provides an excellent introduction to geometric algebra for practitioners in computer games and animation
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Vince, John
Dewey number
512.57
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA199
LC item number
.V56 2009eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Clifford algebras
  • Computer animation
  • Computer games
  • Algorithms
  • Informatique
  • Algorithms
  • Clifford algebras
  • Computer animation
  • Computer games
Label
Geometric algebra : an algebraic system for computer games and animation, John Vince
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Products -- Vector Products -- The Geometric Product -- Geometric Algebra -- Products in 2D -- Products in 3D -- Reflections and Rotations -- Applied Geomteric Algebra -- Conclusion -- Appendices
Control code
423393396
Dimensions
unknown
Extent
1 online resource (xviii, 195 pages)
Form of item
online
Isbn
9781848823785
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-84882-379-2
Other physical details
color illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-1-84882-378-5
Specific material designation
remote
System control number
(OCoLC)423393396
Label
Geometric algebra : an algebraic system for computer games and animation, John Vince
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Products -- Vector Products -- The Geometric Product -- Geometric Algebra -- Products in 2D -- Products in 3D -- Reflections and Rotations -- Applied Geomteric Algebra -- Conclusion -- Appendices
Control code
423393396
Dimensions
unknown
Extent
1 online resource (xviii, 195 pages)
Form of item
online
Isbn
9781848823785
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-84882-379-2
Other physical details
color illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-1-84882-378-5
Specific material designation
remote
System control number
(OCoLC)423393396

Library Locations

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      38.944491 -92.326012
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      W2001 Lafferre Hall, Columbia, MO, 65211, US
      38.946102 -92.330125
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