By: Heinz-Otto Peitgen, Hartmut Jürgens and Dietmar Saupe
984 pages, 40 col illus, 646 b/w illus,
Covers the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors.
Preface; Authors; Foreword; 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 of 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 Sets; A: A Discussion of Fractal Image Compression; B: Multifractal Measures; Bibliography; Index.
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