Geometry of Curves and Surfaces with MAPLE
This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser Boston
2000, 2000
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| Edition: | 1st ed. 2000 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- MAPLE V: A Quick Reference
- I Functions and Graphs with MAPLE
- 1 Graphs of Tabular and Continuous Functions
- 2 Graphs of Composed Functions
- 3 Interpolation of Functions
- 4 Approximation of Functions
- II Curves with MAPLE
- 5 Plane Curves in Rectangular Coordinates
- 6 Curves in Polar Coordinates
- 7 Asymptotes of Curves
- 8 Space Curves
- 9 Tangent Lines to a Curve
- 10 Singular Points on Curves
- 11 Length and Center of Mass of a Curve
- 12 Curvature and Torsion of Curves
- 13 Fractal Curves and Dimension
- 14 Spline Curves
- 15 Non-Euclidean Geometry in the Half-Plane
- 16 Convex Hulls
- III Polyhedra with MAPLE
- 17 Regular Polyhedra
- 18 Semi-Regular Polyhedra
- IV Surfaces with MAPLE
- 19 Surfaces in Space
- 20 Some Classes of Surfaces
- 21 Some Other Classes of Surfaces
- References