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Chaos and Fractals : New Frontiers of Science.

By: Contributor(s): Material type: TextTextPublisher: New York, NY : Springer, 1993Copyright date: ©1992Edition: 1st edDescription: 1 online resource (1013 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781475747409
Subject(s): Genre/Form: Additional physical formats: Print version:: Chaos and FractalsDDC classification:
  • 003/.857
LOC classification:
  • QA1-939
Online resources:
Contents:
Chaos and Fractals New Frontiers of Science Volume I -- Copyright -- Preface -- Authors -- Contents -- Foreword -- lntroduction Causality Principle, Deterministic Laws and Chaos -- Chapter 1 The Backbone of Fractals: Feedback and the lterator -- Chapter 2 Classical Fractals and Self-Similarity -- Chapter 3 Limits and Self-Similarity -- Chapter 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- Chapter 5 Encoding Images by Simple Transformations -- Chapter 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- Chapter 7 Recursive Structures: Growing of Fractals and Plants -- Chapter 8 Pascal's Triangle: Cellular Automata and Attractors -- Chapter 9 Irregular Shapes: Randomness in Fractal Constructions -- Chapter 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- Chapter 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- Chapter 12 Strange Attractors: The Locus of Chaos -- Chapter 13 Julia Sets: Fractal Basin Boundaries -- Chapter 14 The Mandelbrot Set: Ordering the Julia Sets -- Appendix A A Discussion of Fractal Image Compression1 -- Appendix B Multifractal Measures -- Bibliography -- Index.
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Chaos and Fractals New Frontiers of Science Volume I -- Copyright -- Preface -- Authors -- Contents -- Foreword -- lntroduction Causality Principle, Deterministic Laws and Chaos -- Chapter 1 The Backbone of Fractals: Feedback and the lterator -- Chapter 2 Classical Fractals and Self-Similarity -- Chapter 3 Limits and Self-Similarity -- Chapter 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- Chapter 5 Encoding Images by Simple Transformations -- Chapter 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- Chapter 7 Recursive Structures: Growing of Fractals and Plants -- Chapter 8 Pascal's Triangle: Cellular Automata and Attractors -- Chapter 9 Irregular Shapes: Randomness in Fractal Constructions -- Chapter 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- Chapter 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- Chapter 12 Strange Attractors: The Locus of Chaos -- Chapter 13 Julia Sets: Fractal Basin Boundaries -- Chapter 14 The Mandelbrot Set: Ordering the Julia Sets -- Appendix A A Discussion of Fractal Image Compression1 -- Appendix B Multifractal Measures -- Bibliography -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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