The Mathematica GuideBook for Graphics

Author: Michael Trott

Hardcover: 1340 pages

Publisher: Springer; 1 edition (October 14, 2004)

Language: English

ISBN-10: 0387950109

ISBN-13: 978-0387950105

Review

From the reviews: "Through an abundance of examples, this volume teaches the reader how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. … the graphics GuideBook confronts you with a huge collection of 2D graphics, contour plots, plots of surfaces, free-form 3D surfaces, and animations. Hundreds of detailed examples and programs … illustrate visualization techniques, methods, and algorithms." (Willy Hereman, SIAM Review, Vol. 47 (4), 2005)

Book Description

This comprehensive, detailed reference to Mathematica provides the reader with both a working knowledge of Mathematica in general and a detailed knowledge of key aspects of Mathematica needed to create the fastest, shortest, and most elegant implementations possible to solve problems from the natural sciences. The GuideBook gives the user a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The GuideBook is published in three volumes -- 1-Programming, 2-Graphics, and 3-Mathematics -- each with a CD. The 3 volumes together total 3000 pages, and contain more than 15,000 Mathematica inputs, over 1500 graphics, 4000+ references, and more than 500 exercises. The Mathematica GuideBook is an indispensable resource for students, researchers and professionals in mathematics, the sciences and engineering and will thus find a natural place on the bookshelf next to The Mathematica Book. This second volume, 2-Graphics, chapters 7-9, covers two- and three-dimensional graphics. These chapters give a detailed treatment of both creating images from graphic primitives such as points, lines, and polygons and graphically displaying functions that are given either analytically or in discrete form and a number of images from the Mathamatica graphics gallery. Because all graphic primitives are Mathematica expressions it is possible to create stunning visualizations for many topics from pure mathematics or the natural sciences. The use of Mathematica's graphics capabilities provides a very efficient and instructive way to learn how to deal with the structures arising in solving complicated problems.

The multiplatform CD contains Mathematica 4.0 notebooks with detailed descriptions and explanations of the Mathematica commands needed in that chapter and used in applications, supplemented by a variety of mathematical, physical, and graphic examples and worked out solutions to all exercises. The notebooks employ typeset formulae with Mathematica input that can be edited. With hyperlinked content allowing full navigation, the notebooks thus transform the material into an electronic book, allowing browsing, searching, and exploration of the material. Each chapter includes a set of exercises with detailed solutions and detailed references. While each book can be used individually, the three together represent one organic whole and should be used together for maximum benefit.

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