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Chaos and Fractals: New Frontiers of Science

By: Contributor(s): Material type: TextTextPublication details: New York Springer-Verlag 2004Edition: 2nd edDescription: xvi, 984 pages, 24 unnumbered pages of plates : illustrations (some color), maps ; 24 cmISBN:
  • 9780387202297
Subject(s): DDC classification:
  • 003.857 PEI-C
Contents:
Foreword / Mitchell J. Feigenbaum -- Introduction: Causality Principle, Deterministic Laws and Chaos -- 1. The Backbone of Fractals: Feedback and the Iterator -- 2. Classical Fractals and Self-Similarity -- 3. Limits and Self-Similarity -- 4. Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5. Encoding Images by Simple Transformations -- 6. The Chaos Game: How Randomness Creates Deterministic Shapes -- 7. Recursive Structures: Growing of Fractals and Plants -- 8. Pascal's Triangle: Cellular Automata and Attractors -- 9. Irregular Shapes: Randomness in Fractal Constructions -- 10. Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11. Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12. Strange Attractors: The Locus of Chaos -- 13. Julia Sets: Fractal Basin Boundaries -- 14. The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression / Yuval Fisher -- B Multifractal Measures / Carl J.G. Evertsz and Benoit B. Mandelbrot.
Summary: 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.
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Book Book Dept. of Computational Biology and Bioinformatics Processing Center Dept. of Computational Biology and Bioinformatics 003.857 PEI-C (Browse shelf(Opens below)) Available DCB1271

Foreword / Mitchell J. Feigenbaum -- Introduction: Causality Principle, Deterministic Laws and Chaos -- 1. The Backbone of Fractals: Feedback and the Iterator -- 2. Classical Fractals and Self-Similarity -- 3. Limits and Self-Similarity -- 4. Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5. Encoding Images by Simple Transformations -- 6. The Chaos Game: How Randomness Creates Deterministic Shapes -- 7. Recursive Structures: Growing of Fractals and Plants -- 8. Pascal's Triangle: Cellular Automata and Attractors -- 9. Irregular Shapes: Randomness in Fractal Constructions -- 10. Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11. Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12. Strange Attractors: The Locus of Chaos -- 13. Julia Sets: Fractal Basin Boundaries -- 14. The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression / Yuval Fisher -- B Multifractal Measures / Carl J.G. Evertsz and Benoit B. Mandelbrot.

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.

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