Graphics with Mathematica : fractals, Julia sets, patterns and natural forms

著者

    • Getz, Chonat
    • Helmstedt, Janet

書誌事項

Graphics with Mathematica : fractals, Julia sets, patterns and natural forms

by Chonat Getz and Janet Helmstedt

Elsevier, 2004

大学図書館所蔵 件 / 全12件

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

Chapter 1: BasicsChapter 2: Using Color in Graphics Chapter 3: Patterns Constructed from Straight Lines Chapter 4: Orbits of Points Under a C->C Mapping Chapter 5: Using Roman Maeder's Packages Affine Maps, Iterated Function Systems and Chaos Game to Construct Affine Fractals Chapter 6: Constructing Non-affine and 3D Fractals Using the Deterministic and Random Algorithms Chapter 7: Julia and Mandelbrot Sets Constructed Using the Escape - Time Algorithm and Boundary Scanning MethodChapter 8: Miscellaneous Design Ideas Appendices Bibliography

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