Mathematica Colorfunction
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Graphics with Mathematica
In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities. The programs we use for generating these graphics are easily adaptable to many variations.These graphic images are enhanced by introducing a variety of different coloring techniques.Detailed instructions are given for the construction of some interesting 2D and 3D fractals using iterated functions systems as well as the construction of many different types of Julia sets and parameter sets such as the Mandelbrot set.The mathematics underlying the theory of Iterated function systems and Julia sets is given an intuitive explanation, and references are provided for more detailed study.·Brilliant Graphic images·Interesting Introduction to Mathematica for Beginners·Easy constructions ·A variety of Coloring Techniques·Programs Easily Adaptable to Many Variations·Constructions useful for Dynamics and Fractals Courses
The Mathematica GuideBook for Graphics
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 of 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 development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more that 80,000 formulas and identities, and thousands of visualizations.
A Beginner's Guide To Mathematica
Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed. A Beginner's Guide to Mathemat