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MessagePosté le: Jeu 29 Sep - 18:15 (2016)    Sujet du message: Peitgen Chaos Fractals Pdf Free Répondre en citant




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Peitgen Chaos Fractals Pdf Free

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(Hartmut); Saupe, Dietmar, 1954- Published 2004 Topics Chaotic behavior in systems, Fractals, Computer science, Mathematics, Science, SCIENCE, Chaotic behavior in systems, Fractals Identifier springer10.1007-b97624Mediatype textsScanner Internet Archive Python library 0.9.1Isbnonline 978-0-387-21823-6Isbn 0387218238Doi 10.1007/b97624Identifier-access ark:/13960/t9m36q57gPpi 600Ocr ABBYY FineReader 11.0City New YorkEdition 2nd ed.Oclc-id 57375880Lccn 2003063341Related-external-id urn:isbn:0387973451 SHOW MORE SHOW LESS Chaos and Fractals: New Frontiers of ScienceAuthor: Heinz-Otto Peitgen, Hartmut Jrgens, Dietmar Saupe Published by Springer New York ISBN: 978-1-4684-9396-2 DOI: 10.1007/b97624Table of Contents:Introduction: Causality Principle, Deterministic Laws and Chaos The Backbone of Fractals: Feedback and the Iterator Classical Fractals and Self-Similarity Lim 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 Pascals 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 SetsIncludes bibliographical references (pages 839-851) and indexIntroduction: 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 SetThe 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. 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