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Linear Geometry with Computer Graphics (Chapman & Hall/CRC Pure and Applied Mathematics)
 
 
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Linear Geometry with Computer Graphics (Chapman & Hall/CRC Pure and Applied Mathematics) [Hardcover]

John Loustau (Author), Meighan Dillon (Author)

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Book Description

December 16, 1992 0824788982 978-0824788988 1
Stressing the interplay between theory and its practice, this text presents the construction of linear models that satisfy geometric postulate systems and develops geometric topics in computer graphics. It includes a computer graphics utility library of specialized subroutines on a 3.5 disk, designed for use with Turbo PASCAL 4.0 (or later version) - an effective means of computer-aided instruction for writing graphics problems.;Providing instructors with maximum flexibility that allows for the mathematics or computer graphics sections to be taught independently, this book: reviews linear algebra and notation, focusing on ideas of geometric significance that are often omitted in general purpose linear algebra courses; develops symmetric bilinear forms through classical results, including the inertia theorem, Witt's cancellation theorem and the unitary diagonalization of symmetric matrices; examines the Klein Erlanger programm, constructing models of geometries, and studying associated transformation groups; clarifies how to construct geometries from groups, encompassing topological notions; and introduces topics in computer graphics, including geometric modeling, surface rendering and transformation groups.

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Inside This Book (learn more)
First Sentence:
The focus of this development is the study of geometric objects as subsets of vector spaces. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
linear display file, inner product plane, nonzero isotropic vector, vector space cosets, line drawing procedure, real affine plane, texture plane, object centroid, elliptic plane, real projective plane, congruent segments, inversion mapping, noncollinear points, projective points, projective group, snowflake curve, inner product space, edge record, texture mapping, main meridian, neighborhood basis, isotropic vectors, knot points, bounding edge, guide points
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Erlanger Programm, David Hilbert
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