Encounters with Chaos and Fractals

Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia a...

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Bibliographic Details
Main Author Gulick, Denny
Format eBook Book
LanguageEnglish
Published Boca Raton Chapman and Hall/CRC 2012
CRC Press
CRC Press LLC
Chapman & Hall
Edition2
SeriesTextbooks in Mathematics
Subjects
Chaotic behavior in systems
Fractals
MATHEMATICS / Differential Equations. bisacsh
MATHEMATICS / Geometry / General. bisacsh
MATHEMATICS / Number Theory. bisacsh
Pendulum System
Cauchy Sequence
Baker’s Function
Bifurcation Diagram
Negative Schwarzian Derivative
Lyapunov Dimension
Hausdorff Metric
Koch Curve
Periodic Points
Fixed Point
Mandelbrot Set
Self-similar Set
Affine Function
Menger Sponge
Period Doubling Bifurcations
Tangent Bifurcation
Space Filling Curve
Asymptotically Stable
Lorenz System
Cantor Set
Capacity Dimension
Complete Metric Space
Tent Function
Cantor Ternary Set
Julia Set
Online AccessGet full text
ISBN1584885173
9781584885177
DOI10.1201/b11855

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Summary:Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets.
Bibliography:Includes bibliographical references (p. 363-366) and index
ISBN:1584885173
9781584885177
DOI:10.1201/b11855