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Chaos and fractals : new frontiers of science

Author: Heinz-Otto Peitgen; H Jürgens; Dietmar Saupe
Publisher: New York : Springer, ©2004.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Peitgen, Heinz-Otto, 1945-
Chaos and fractals.
New York : Springer, ©2004
(DLC) 2003063341
(OCoLC)53289872
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Heinz-Otto Peitgen; H Jürgens; Dietmar Saupe
ISBN: 0387218238 9780387218236
OCLC Number: 57375880
Description: 1 online resource (xiii, 864 pages) : illustrations (some color)
Contents: Introduction: 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 Set.
Responsibility: Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe.

Abstract:

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,  Read more...

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"It is relatively discursive and easy to read, witheach chapter telling a coherent story, and it highlights the key concepts andideas, examining a few models in detail and using worked numerical Read more...

 
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