Geometric concepts for geometric design

✍ Scribed by Boehm, Wolfgang; Prautzsch, Hartmut

Publisher: A.K. Peters
Year: 1994
Tongue: English
Leaves: 421
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Often a solution to a problem lies simply in finding its correct description. It is this underlying concept that consolidates the text of this unique and lively survey of geometric ideas. In Geometric Concepts for Geometric Design, its authors provide a way in which to visualize a variety of geometric problems and present the tools for their accurate representation. Disassociating fundamental ideas and methods from Read more...

✦ Table of Contents

pt. I. Some linear algebra. 1. Linear systems --
2. Linear spaces --
3. Least squares --
pt. II. Images and projections. --
4. Parallel projections --
5. Moving the object --
6. Perspective drawings --
7. The mapping matrix --
8. Reconstruction --
pt. III. Affine geometry. 9. Affine space --
10. The barycentric calculus --
11. Affine maps --
12. Affine figures --
13. Quadrics in affine spaces --
14. More on affine quadrics --
15. Homothetic pencils --
pt. IV. Euclidean geometry. 16. The euclidean space --
17. Some euclidean figures --
18. Quadrics in euclidean space --
19. Focal properties --
pt. V. Some projective geometry. 20. The projective space --
21. Projective maps --
22. Some projective figures --
23. Projective quadrics --
pt. VI. Some descriptive geometry. 24. Associated projections --
25. Penetrations --
pt. VII. Basic algebraic geometry. 26. Implicit curves and surfaces --
27. Parametric curves and surfaces --
28. Some elimination methods --
29. Implicitization, inversion and intersection --
pt. VIII. Differential geometry. 30. Curves --
31. Curves on surfaces --
32. Surfaces.

✦ Subjects

Geometry;Geometry -- Data processing

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