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Chaos and Fractals, 2e: New Frontiers of Science

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Chaos and Fractals, 2e: New Frontiers of Science Cover

 

Synopses & Reviews

Publisher Comments:

The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

Table of Contents

Introduction: Causality Principle, Deterministic Laws and Chaos.- The Backbone of Fractals: Feedback and the Iterator.- Classical Fractals and Self-Similarity.- Limits and Self-Similarity.- Length, Area, and Dimension: Measuring Complexity and Scaling Properties.- Encoding Images by Simple Transformations.- The Chaos Game: How Randomness Creates Deterministic Shapes.- Recursive Structures: Growing Fractals and Plants.- Pascal's Triangle: Cellular Automata and Attractors.- Irregular Shapes: Randomness in Fractal Constructions.- Deterministic Chaos: Sensitivity, Mixing, and Periodic Points.- Order and Chaos: Period-Doubling and Its Chaotic Mirror.- Strange Attractors: The Locus of Chaos.- Julia Sets: Fractal Basin Boundaries.- The Mandelbrot Set: Ordering the Julia Set.

Product Details

ISBN:
9780387202297
Author:
Peitgen, Heinz-otto
Publisher:
Springer
Author:
Hartmut J
Author:
Peitgen, Hans-Otto
Author:
Jurgens, Hartmut
Author:
Jrgens, Hartmut
Author:
rgens, Hartmut
Author:
Peitgen, Heinz-Otto
Author:
rgens
Author:
&
Author:
Juergens, Hartmut
Author:
J
Author:
uuml
Author:
Saupe, Dietmar
Location:
New York, NY
Subject:
Differential Equations
Subject:
Applied
Subject:
Chaotic Behavior in Systems
Subject:
Fractals
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Mathematics of Computing
Subject:
Computer graphics
Subject:
Mathematics - General
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics-Popular Chaos and Fractals
Subject:
Mathematical Analysis
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Differentiable dynamical systems
Subject:
Computer Science
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2004
Series Volume:
New Frontiers of Sci
Publication Date:
February 2004
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
878
Dimensions:
235 x 191 mm 1760 gr

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Chaos and Fractals, 2e: New Frontiers of Science New Hardcover
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