Pub. Date:
Taylor & Francis
Linear Geometry with Computer Graphics / Edition 1

Linear Geometry with Computer Graphics / Edition 1


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Product Details

ISBN-13: 9780824788988
Publisher: Taylor & Francis
Publication date: 12/16/1992
Series: Chapman & Hall/CRC Pure and Applied Mathematics Series , #170
Edition description: New Edition
Pages: 458
Product dimensions: 8.50(w) x 11.00(h) x 1.20(d)

Table of Contents

Part 1 Preliminaries: fields; vector spaces; linear transformations; cosets of a vector space; invariant subspaces. Part 2 Symmetric bilinear forms: symmetric bilinear forms; congruence; orthogonal complements; orthogonal bases; Witt's cancellation theorem; isotropic and anisotropic spaces; functions on inner product spaces. Part 3 Plane geometries: the affine plane; the affine group; postulates for the Euclidean plane; inner product planes; projective planes; conic sections. Part 4 Homogeneous spaces in Rn: topological groups; homogeneous spaces; geometry on homogeneous spaces; the Riemann sphere; the Poincare upper half-plane; differentiable manifolds. Part 5 Topics in computer graphics: a first graphics programme; a computer graphics system overview; geometric mappings in a CG system; the line-drawing algorithm; the wing-edge object representation; the conic sections; Bezier curves and B-splines; hidden surface removal; texture mapping; quadric intermediate surfaces; Koch systems. Appendices: equivalence relations - basics; the Jordan canonical form - proof of Jordan's theorem; GraphLib documentation - types, procedures and functions.

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