ENGLISH

Encounters with Chaos and Fractals

By Denny Gulick

Book information

Publisher
Chapman and Hall/CRC
Year
2012
ISBN
1584885173, 9781584885177
Language
english
Format
PDF
Filesize
44 MB (45910403 bytes)
Edition
2
Pages
387\346
Time added
2015-04-20 16:39:38
Математика;Нелинейная динамика;Теория хаоса

Description

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.

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