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Geometry of curves and surfaces with MAPLE /

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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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Bibliographic Details
Main Author: Rovenskii, Vladimir Y., 1953-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston : Birkhäuser, [2000]
Subjects:
Maple (Computer file)
Geometry > Data processing.
Polyeder.
Fläche.
Kurve.
Maple <Programm>.
Electronic books.
Online Access:Connect to the full text of this electronic book
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.