Discovering curves and surfaces with Maple

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>
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