The Geometry Toolbox for Graphics and Modeling

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The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.

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Editorial Reviews

A textbook for a one-semester freshman or sophomore course introducing linear algebra from a geometric perspective and geometry from the perspective of algorithms, and a tutorial for professionals who want to learn the basics of either. Keeps the theoretical ceiling low, often substituting examples and images for exact proofs. Uses the PostScript software package, but does not require knowledge of or access to it. The chapters of basic curves and surfaces provide a stepping stone to graphics and modeling. A Web site provides support. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9781568810744
  • Publisher: Taylor & Francis
  • Publication date: 8/1/1998
  • Edition description: New Edition
  • Pages: 288
  • Product dimensions: 7.50 (w) x 9.57 (h) x 0.91 (d)

Table of Contents

Ch. 1 Descartes' Discovery 1
Ch. 2 Here and There: Points and Vectors in 2D 13
Ch. 3 Lining Up - 2D Lines 31
Ch. 4 Linear Maps in 2D 53
Ch. 5 2 x 2 Linear Systems 79
Ch. 6 Moving Things Around: Affine Maps 97
Ch. 7 Eigen Things 109
Ch. 8 Breaking It Up: Triangles 125
Ch. 9 Conics 137
Ch. 10 3D Geometry 147
Ch. 11 Interactions in 3D 161
Ch. 12 Linear Maps in 3D 171
Ch. 13 Affine Maps in 3D 191
Ch. 14 General Linear Systems 209
Ch. 15 Putting Lines Together: Polylines and Polygons 229
Ch. 16 Curves 243
App. A: PostScript Tutorial 257
App. B: Selected Problem Solutions 269
Bibliography 281
Index 283
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