Encounters with Chaos and Fractals, Second Edition

Denny Gulick

April 26, 2012 by Chapman and Hall/CRC
Textbook - 387 Pages - 159 B/W Illustrations
ISBN 9781584885177 - CAT# C5173

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  • Provides an updated presentation of chaotic dynamics
    • Contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets
    • Includes a substantial number of new exercises at the end of each section and MATLAB® programs in the appendix, with selected solutions at the back of the book


    Now with an extensive introduction to fractal geometry

    Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications.

    Laying the groundwork for later chapters, the text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set.

    With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.