Invariant algebras and geometric reasoning /

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Bibliographic Details
Author / Creator:Li, Hongbo, 1968 March-
Imprint:Singarore ; Hackensack, N.J. : World Scientific , c2008.
Description:xiv, 518 p. : ill. ; 26 cm.
Language:English
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/7309732
Hidden Bibliographic Details
ISBN:9789812708083
9812708081
Notes:Includes bibliographical references (p. 495-504) and index.
Summary:"This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras - Cayley bracket algebra, conformal geometric algebra, and null bracket algebra - for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide."--BOOK JACKET.

MARC

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245 1 0 |a Invariant algebras and geometric reasoning /  |c Hongbo Li. 
260 |a Singarore ;  |a Hackensack, N.J. :  |b World Scientific ,  |c c2008. 
300 |a xiv, 518 p. :  |b ill. ;  |c 26 cm. 
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504 |a Includes bibliographical references (p. 495-504) and index. 
505 0 |a Projective space, bracket algebra, and Grassmann-Cayley algebra -- Projective incidence geometry with Cayley bracket algebra -- Projective conic geometry with bracket algebra and quadratic Grassmann-Cayley algebra -- Inner-product bracket algebra and Clifford algebra -- Geometric algebra -- Euclidean geometry and conformal Grassmann-Cayley algebra -- Conformal Clifford algebra and classical geometries -- Cayley expansion theory for 2D and 3D projective geometries. 
520 1 |a "This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras - Cayley bracket algebra, conformal geometric algebra, and null bracket algebra - for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide."--BOOK JACKET. 
650 0 |a Clifford algebras.  |0 http://id.loc.gov/authorities/subjects/sh85027030 
650 0 |a Invariants.  |0 http://id.loc.gov/authorities/subjects/sh85067665 
650 0 |a Symmetry (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh2006001303 
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