Discovering Curves and Surfaces with Maple®

1. Maple Preliminaries.- 1.1 General Comments.- 1.2 Basic Plots.- 1.3 Accessing Plotting Structures.- 2. Two-Dimensional Plots.- 2.1 Basic Graphs.- 2.2 Additional Options.- 2.3 Maps of Surfaces.- 3. Geometric Manipulation.- 3.1 Affine Transformations in Two Dimensions.- 3.2 Affine Transformations in Three Dimensions.- 3.3 Coordinate Systems.- 3.4 Perspective.- 3.5 Shadow and Radial Projections.- 3.6 Matrix Notation.- 3.7 General Transformations of Plots.- 4. Three-Dimensional Plots.- 4.1 Basic Three-Dimensional Plots.- 4.2 Overview of Plotting Options.- 4.3 Color.- 4.4 Lighting.- 4.5 PLOT and PLOT3D Data Structures.- 4.6 Examples.- 5. Functions and Procedures.- 5.1 Elementary Functions.- 5.2 Graphics and Functions.- 5.3 Procedures.- 5.4 Interpolation.- 5.5 Iteration and Fractals.- 5.6 Mixing Curves and Surfaces.- 6. Animations.- 6.1 Overview of Animation Commands.- 6.2 Animations in Two-Dimensions.- 6.3 Animations in Three-Dimensions.- 7. The plottools Package.- 7.1 The plottools Objects.- 7.2 Plot Transformations.- 8. Specialized Graphics.- 8.1 Graphing Complex Functions.- 8.2 Differential Equations.- 8.3 Miscellaneous Commands.- 9. Saving and Exporting Maple Graphics.- 9.1 Saving, Editing, and Printing.- 9.2 External Rendering and Ray Tracing.