Encounters with Chaos and Fractals

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A01=Denny Gulick
Affine Function
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Asymptotically Stable
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Baker’s Function
Bifurcation Diagram
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Cauchy Sequence
Complete Metric Space
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Creating Fractals Sets
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Fixed Point
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Introduction to Fractals
Julia Set
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Lorenz System
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Mandelbrot Set
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Negative Schwarzian Derivative
One-Dimensional Chaos
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Pendulum System
Period Doubling Bifurcations
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Self-similar Set
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Space Filling Curve
Systems of Differential Equations
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Product details

  • ISBN 9781032920757
  • Weight: 720g
  • Dimensions: 178 x 254mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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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.

Denny Gulick is a professor in the Department of Mathematics at the University of Maryland. His research interests include operator theory and fractal geometry. He earned a PhD from Yale University.