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The Resource Geometric Algebra for Computer Graphics, by John Vince, (electronic resource)
Geometric Algebra for Computer Graphics, by John Vince, (electronic resource)
Resource Information
The item Geometric Algebra for Computer Graphics, by John Vince, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Geometric Algebra for Computer Graphics, by John Vince, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 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 (bestselling 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
 Language

 eng
 eng
 Edition
 1st ed. 2008.
 Extent
 1 online resource (267 p.)
 Note
 Description based upon print version of record
 Contents

 Elementary Algebra
 Complex Algebra
 Vector Algebra
 Quaternion Algebra
 Geometric Conventions
 Geometric Algebra
 The Geometric Product
 Reflections and Rotations
 Geometric Algebra and Geometry
 Conformal Geometry
 Applications of Geometric Algebra
 Programming Tools for Geometric Algebra
 Conclusion
 Isbn
 9781846289972
 Label
 Geometric Algebra for Computer Graphics
 Title
 Geometric Algebra for Computer Graphics
 Statement of responsibility
 by John Vince
 Language

 eng
 eng
 Summary
 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 (bestselling 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
 http://library.link/vocab/creatorName
 Vince, John
 Dewey number
 006.60151257
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Sf8LeL6oreQ
 Language note
 English
 LC call number
 T385
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Computer graphics
 Geometry, algebraic
 Computer science
 Geometry
 Computer Graphics
 Algebraic Geometry
 Math Applications in Computer Science
 Geometry
 Label
 Geometric Algebra for Computer Graphics, by John Vince, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 245247) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Elementary Algebra  Complex Algebra  Vector Algebra  Quaternion Algebra  Geometric Conventions  Geometric Algebra  The Geometric Product  Reflections and Rotations  Geometric Algebra and Geometry  Conformal Geometry  Applications of Geometric Algebra  Programming Tools for Geometric Algebra  Conclusion
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (267 p.)
 Form of item
 online
 Isbn
 9781846289972
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781846289972
 Specific material designation
 remote
 System control number

 (CKB)1000000000490609
 (EBL)3062701
 (SSID)ssj0000770358
 (PQKBManifestationID)12344358
 (PQKBTitleCode)TC0000770358
 (PQKBWorkID)10786336
 (PQKB)11091223
 (SSID)ssj0000317932
 (PQKBManifestationID)11212470
 (PQKBTitleCode)TC0000317932
 (PQKBWorkID)10295598
 (PQKB)11210358
 (DEHe213)9781846289972
 (MiAaPQ)EBC3062701
 (EXLCZ)991000000000490609
 Label
 Geometric Algebra for Computer Graphics, by John Vince, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 245247) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Elementary Algebra  Complex Algebra  Vector Algebra  Quaternion Algebra  Geometric Conventions  Geometric Algebra  The Geometric Product  Reflections and Rotations  Geometric Algebra and Geometry  Conformal Geometry  Applications of Geometric Algebra  Programming Tools for Geometric Algebra  Conclusion
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (267 p.)
 Form of item
 online
 Isbn
 9781846289972
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781846289972
 Specific material designation
 remote
 System control number

 (CKB)1000000000490609
 (EBL)3062701
 (SSID)ssj0000770358
 (PQKBManifestationID)12344358
 (PQKBTitleCode)TC0000770358
 (PQKBWorkID)10786336
 (PQKB)11091223
 (SSID)ssj0000317932
 (PQKBManifestationID)11212470
 (PQKBTitleCode)TC0000317932
 (PQKBWorkID)10295598
 (PQKB)11210358
 (DEHe213)9781846289972
 (MiAaPQ)EBC3062701
 (EXLCZ)991000000000490609
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Libraries Annex (not open to the public; please see web page for details)Borrow it25 Chancellors Circle (in the Elizabeth Dafoe Library), Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Neil John Maclean Health Sciences LibraryBorrow it727 McDermot Avenue (Brodie Centre), 200 Level, Winnipeg, MB, R3E 3P5, CA49.903563 97.160554

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William R Newman Library (Agriculture)Borrow it66 Dafoe Road, Winnipeg, MB, R3T 2R3, CA49.806936 97.135525
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/GeometricAlgebraforComputerGraphicsbyJohn/_DTiheURseo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/GeometricAlgebraforComputerGraphicsbyJohn/_DTiheURseo/">Geometric Algebra for Computer Graphics, by John Vince, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>