Chaos and Fractals

New Frontiers of Science

Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe

864 pages, parution le 22/03/2004 (2^eme édition)

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Résumé

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.

Written for:
Teachers and students of main fields, teachers and students of secondary fields, interested lay people

L'auteur - Heinz-Otto Peitgen

Peitgen, H.-O., University of Bremen

Sommaire

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

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
Parution	22/03/2004
Édition	2^eme édition
Nb. de pages	864
Format	19,5 x 24
Couverture	Relié
Poids	1765g
Intérieur	Noir et Blanc
EAN13	9780387202297
ISBN13	978-0-387-20229-7