Normal görünüm MARC görünümü ISBD görünümü

Peitgen, Heinz-Otto, 1945-

Chaos and fractals : new frontiers of science / Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe - Second edition - xiii, 864 pages : illustrations (some color) ; 24 cm

Includes bibliographical references (pages 839-851) and index

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 Sets 9 -- 1 15 -- 2 61 -- 3 129 -- 4 173 -- 5 215 -- 6 277 -- 7 329 -- 8 377 -- 9 423 -- 10 467 -- 11 541 -- 12 605 -- 13 715 -- 14 783

ISBN: 0387202293 9780387202297

Subjects--Topical Terms:
Chaotic behavior in systems
Fractals

LC Class. No.: QC172.5.C45 / P45 2004

Dewey Class. No.: