Synopses & Reviews
Mathematica is today's most advanced technical computing system. It features a rich programming environment, two- and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. "The Mathematica GuideBook for Graphics" provides a comprehensive step-by-step development of how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. Two-dimensional graphics, contour plots, plots of surfaces, free-form three-dimensional surfaces, and animations are the core topics. Hundreds of detailed examples and programs show a large variety of visualization techniques, algorithms, methods, and tricks. These tools allow the reader to create virtually any possible graphic, from simple curves to scientific visualizations and artistic images and logos. Mathematica graphics functions are discussed in detail, explained in numerous examples, and put to work in programs that are all contained on the accompanying DVD. Unique Features: Step-by-step introductions to all Mathematica graphics capabilities Comprehensive presentation of two- and three-dimensional graphics primitives and directives, as well as plotting capabilities for functions and data Hundreds of unique and innovative scientific visualizations and artistic images Website for book with additional materials and updates: http://www.MathematicaGuideBooks.org Accompanying DVD contains all material as an electronic book with complete, executable Mathematica versions 4 and 5 compatible code and programs, rendered color graphics, and animations Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading the development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more than 80,000 formulas and identities, and thousands of visualizations.
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)
Synopsis
This comprehensive, detailed reference to the new Mathematica 4.0 release provides the reader with both a working knowledge of Mathematica in general and a detailed knowledge of graphics. The accompanying CD-ROM contains Mathematica 4.0 notebooks with detailed descriptions and explanations of the Mathematica commands. 1,000 illus.
Synopsis
This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes - Programming, Graphics, and Mathematics - each with a CD, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This second volume covers 2 and 3D graphics, providing a detailed treatment of creating images from graphic primitives such as points, lines, and polygons. It also shows how to graphically display functions that are given either analytically or in discrete form and a number of images from the Mathamatica graphics gallery. The use of Mathematicas graphics capabilities provides a very efficient and instructive way to learn how to deal with the structures arising in solving complicated problems.
Table of Contents
I Two-Dimensional Graphics: Remarks * Fundamentals * Plots of Functions * Combining Several Images * Packages * Graphics of Iterative Mappings * Coloring Closed Curves Exercises Solutions References II Three-Dimensional Graphics: Remarks * Fundamentals * Display of Functions * Some More Complicated Three-Dimensional Graphics * Brillouin Zones of Cubic Lattices Exercises Solutions References III Contour and Density Plots: Remarks * Contour Plots * Density Plots * Plots of Equipotential Surfaces Exercises Solutions References Index