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Discovering curves and surfaces with Maple
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Discovering curves and surfaces with Maple

Discovering curves and surfaces with Maple

G. Klimek, Klimek, M. Klimek

217 pages, parution le 30/09/1997

Résumé

Despite the fact that Maple is a popular computer algebra system, few users realize its potential for scientific visualization. This book is designed to equip readers with the graphics tools needed on the voyage into the complex world of curves and surfaces. A comprehensive treatment of Maple's graphics commands and structures is combined with an introduction to the main aspects of visual perception, with priority given to the use of light, colour, perspective, and geometric transformations.

Summary of contents

  • Maple preliminaries
  • two-dimensional plots
  • geometric manipulation
  • three-dimensional plots - functions and procedures
  • animations
  • the plottools package
  • specialized graphics
  • saving and exporting Maple graphics

Table of contents :

Introduction                                       ix
1. Maple Preliminaries 1
1.1 General Comments 1
1.2 Basic Plots 3
1.3 Accessing Plotting Structures 6
2. Two-Dimensional Plots 9
2.1 Basic Graphs 9
2.2 Additional Options 19
2.3 Maps of Surfaces 22
3. Geometric Manipulation 27
3.1 Affine Transformations in Two 27
Dimensions
3.2 Affine Transformations in Three 35
Dimensions
3.3 Coordinate Systems 41
3.4 Perspective 45
3.5 Shadow and Radial Projections 50
3.6 Matrix Notation 54
3.7 General Transformations of Plots 58
4. Three-Dimensional Plots 61
4.1 Basic Three-Dimensional Plots 61
4.2 Overview of Plotting Options 72
4.3 Color 76
4.4 Lighting 85
4.5 PLOT and PLOT3D Data Structures 88
4.6 Examples 97
5. Functions and Procedures 105
5.1 Elementary Functions 105
5.2 Graphics and Functions 107
5.3 Procedures 109
5.4 Interpolation 119
5.5 Iteration and Fractals 125
5.6 Mixing Curves and Surfaces 129
6. Animations 135
6.1 Overview of Animation Commands 135
6.2 Animations in Two-Dimensions 140
6.3 Animations in Three-Dimensions 147
7. The plottools Package 165
7.1 The plottools Objects 166
7.2 Plot Transformations 169
8. Specialized Graphics 177
8.1 Graphing Complex Functions 177
8.2 Differential Equations 184
8.3 Miscellaneous Commands 192
9. Saving and Exporting Maple Graphics 199
9.1 Saving, Editing, and Printing 199
9.2 External Rendering and Ray Tracing 201
Index 211</body> </html>

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) G. Klimek, Klimek, M. Klimek
Parution 30/09/1997
Nb. de pages 217
EAN13 9780387948904

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