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Chaos and Fractals

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Cover of 'Chaos and Fractals'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Backbone of Fractals: Feedback and the Iterator
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    Chapter 3 Classical Fractals and Self-Similarity
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    Chapter 4 Limits and Self-Similarity
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    Chapter 5 Length, Area and Dimension: Measuring Complexity and Scaling Properties
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    Chapter 6 Encoding Images by Simple Transformations
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    Chapter 7 The Chaos Game: How Randomness Creates Deterministic Shapes
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    Chapter 8 Recursive Structures: Growing of Fractals and Plants
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    Chapter 9 Pascal’s Triangle: Cellular Automata and Attractors
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    Chapter 10 Irregular Shapes: Randomness in Fractal Constructions
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    Chapter 11 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points
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    Chapter 12 Order and Chaos: Period-Doubling and its Chaotic Mirror
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    Chapter 13 Strange Attractors: The Locus of Chaos
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    Chapter 14 Julia Sets: Fractal Basin Boundaries
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    Chapter 15 The Mandelbrot Set: Ordering the Julia Sets
Attention for Chapter 12: Order and Chaos: Period-Doubling and its Chaotic Mirror
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