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Encounters with chaos and fractals / by Denny Gulick.

By: Gulick, Denny [author.].
Contributor(s): Taylor and Francis.
Material type: materialTypeLabelBookPublisher: Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2012Edition: Second edition.Description: 1 online resource (387 pages) : 159 illustrations.ISBN: 9781466558755.Subject(s): Chaotic behavior in systems | Fractals | MATHEMATICS / Geometry / General | MATHEMATICS / Number TheoryAdditional physical formats: Print version: : No titleDDC classification: 515.39 Online resources: Click here to view.
Contents:
chapter 1 Periodic Points -- chapter 2 One-Dimensional Chaos -- chapter 3 Two-Dimensional Chaos -- chapter 4 Systems of Differential Equations -- chapter 5 Introduction to Fractals -- chapter 6 Creating Fractals Sets -- chapter 7 Complex Fractals : Julia Sets and the Mandelbrot Set.
Abstract: 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.
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chapter 1 Periodic Points -- chapter 2 One-Dimensional Chaos -- chapter 3 Two-Dimensional Chaos -- chapter 4 Systems of Differential Equations -- chapter 5 Introduction to Fractals -- chapter 6 Creating Fractals Sets -- chapter 7 Complex Fractals : Julia Sets and the Mandelbrot Set.

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.

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