| Encounters with Chaos and Fractals Contributor(s): Gulick, Denny (Author) |
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ISBN: 1584885173 ISBN-13: 9781584885177 Publisher: CRC Press OUR PRICE: $109.25 Product Type: Hardcover Published: May 2012 Annotation: Presenting a wide range of topics, Encounters with Chaos and Fractals explores the relationship between these two concepts. The book provides applications from chaos that have ties to disciplines in the physical sciences and engineering. It emphasizes a geometric, one-dimensional approach that makes complex concepts more accessible to students. The text covers the dynamics for functions on the line and on a plane, iterated functions such as fractal pictures, the dynamics of differential equation systems including the Lorenz attractor, and complicated sets such as Julia and Mandelbrot. Requiring only one year of calculus, this text is ideal for advanced undergraduate students. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Geometry - General - Mathematics | Number Theory |
| Dewey: 515.39 |
| LCCN: 2012005258 |
| Physical Information: 0.9" H x 7" W x 10" (1.85 lbs) 388 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |