Chaos and Fractals: New Frontiers of Science

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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 appen...

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Bibliographic Details
Main Author: Heinz-Otto Peitgen
Other Authors: H Jürgens; Dietmar Saupe
Format: Printed Book
Published: New York Springer-Verlag 2004
Edition:2nd ed.
Subjects:
Fractals. Chaotic behavior in systems. Fractales.
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100 |a  Heinz-Otto Peitgen  
245 |a Chaos and Fractals: New Frontiers of Science 
250 |a 2nd ed. 
260 |a New York  |b Springer-Verlag  |c 2004 
300 |a  xvi, 984 pages, 24 unnumbered pages of plates : illustrations (some color), maps ; 24 cm 
505 |a  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. 
520 |a 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. 
650 |a  Fractals. Chaotic behavior in systems. Fractales.  
700 |a  H Jürgens; Dietmar Saupe 
942 |c BK 
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