Discovering Curves and Surfaces with Maple� / Edition 1

by Maciej Klimek

Overview

Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the complex and beautiful world of curves and surfaces. A comprehensive treatment of Maples 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. Numerous examples cover all aspects of Maple graphics, and these may be easily tailored to the individual needs of the reader. The approach is context-independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book will serve as a comprehensive reference manual. For the beginner, it offers a user-friendly introduction to the subject, with mathematical requirements kept to a minimum, while, for those interested in advanced mathematical visualisation, it explains how to maximise Maples graphical capabilities.

Product Details

ISBN-13:	9780387948904
Publisher:	Springer New York
Publication date:	08/21/1997
Edition description:	1997
Pages:	217
Product dimensions:	6.69(w) x 9.61(h) x 0.03(d)

Table of Contents

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.