Maciej Klimek

Discovering Curves and Surfaces with Maple® (eBook, PDF)

• Format: PDF

Produktbeschreibung

Despite the fact that Maple V has become one of the most popular computer algebra systems on the market, surprisingly few users realize its potential in the field of scientific visualization. This book shows how to turn Maple into an excellent modeling tool capable of generating elaborate surfaces that conventional modelers cannot produce and will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. It includes a DOS diskette with supplies the Maple code segments presented in the book along with additional renderings of some of the book's color plates.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 217
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461218265
• Artikelnr.: 44045361

Autorenporträt

Despite the fact that Maple V has become one of the most popular computer algebra systems on the market, surprisingly few users realize its potential in the field of scientific visualization. This book shows how to turn Maple into an excellent modeling tool capable of generating elaborate surfaces that conventional modelers cannot produce and will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. It includes a DOS diskette with supplies the Maple code segments presented in the book along with additional renderings of some of the book's color plates.

Inhaltsangabe

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.