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
Resource Information
The item Geometric algebra : an algebraic system for computer games and animation, John Vince represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item Geometric algebra : an algebraic system for computer games and animation, John Vince represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
 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 (bestselling 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 noncommutative 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, fullcolour illustrations and tables, this compact book provides an excellent introduction to geometric algebra for practitioners in computer games and animation
 Language
 eng
 Extent
 1 online resource (xviii, 195 pages)
 Contents

 Introduction
 Products
 Vector Products
 The Geometric Product
 Geometric Algebra
 Products in 2D
 Products in 3D
 Reflections and Rotations
 Applied Geomteric Algebra
 Conclusion
 Appendices
 Isbn
 9781848823785
 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
 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 (bestselling 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 noncommutative 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, fullcolour 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
 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
 10.1007/9781848823792
 Other physical details
 color illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 9781848823785
 Specific material designation
 remote
 System control number
 (OCoLC)423393396
 Label
 Geometric algebra : an algebraic system for computer games and animation, John Vince
 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
 10.1007/9781848823792
 Other physical details
 color illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 9781848823785
 Specific material designation
 remote
 System control number
 (OCoLC)423393396
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Geometricalgebraanalgebraicsystemfor/jVqE9z8YH98/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Geometricalgebraanalgebraicsystemfor/jVqE9z8YH98/">Geometric algebra : an algebraic system for computer games and animation, John Vince</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>