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" Geometric algebra for computer science : "
Leo Dorst, Daniel Fontijne, Stephen Mann
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BL
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| Record Number
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652623
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dltt
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| Main Entry
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Dorst, Leo,1958-
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| Title & Author
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Geometric algebra for computer science : : an object-oriented approach to geometry /\ Leo Dorst, Daniel Fontijne, Stephen Mann
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| Series Statement
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Morgan Kaufmann series in computer graphics
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| Page. NO
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xxxv, 626 pages :: illustrations (some color) ;; 24 cm
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| ISBN
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0123694655
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: 9780123694652
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: 9780123749420
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: 0123749425
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| Bibliographies/Indexes
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Includes bibliographical references (pages 609-612) and index
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| Contents
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Why geometric algebra? -- Spanning oriented subspaces -- Metric products of subspaces -- Linear transformations of subspaces -- Intersection and union of subspaces -- The fundamental product of geometric algebra -- Orthogonal transformations as versors -- Geometric differentiation -- Modeling geometries -- The vector space model : the algebra of directions -- The homogeneous model -- Applications of the homogeneous model -- The conformal model : operational Euclidean geometry -- New primitives for Euclidean geometry -- Constructions in Euclidean geometry -- Conformal operations -- Operational models for geometries -- Implementation issues -- Basis blades and operations -- The linear products and operations -- Fundamental algorithms for nonlinear products -- Specializing the structure for efficiency -- Using the geometry in a ray-tracing application -- Metrics and null vectors -- Contractions and other inner products -- Subspace products retrieved -- Common equations
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| Subject
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Geometry, Algebraic
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Computer science-- Mathematics
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Object-oriented methods (Computer science)
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| Dewey Classification
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006.60151257
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| LC Classification
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QA564.D67 2007
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| Added Entry
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Fontijne, Daniel
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Mann, Stephen,1963-
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