Chaos and Fractals : New Frontiers of Science by Dietmar, Jurgens, Hartmut, Peitgen, Heinz-Otto Saupe - livro usado

For almost 15 years chaos and fractals have been riding a wave that has enveloped many areas of mathematics and the natural sciences in its power, creativity and expanse. Traveling far beyond the traditional bounds of mathematics and science to the distant shores of popular culture, this wave captures the attention and enthusiasm of a worldwide audience. 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, Cellulair Automata, L- systems, Percolation and Strange Attractors. Each chapter is closed by a "Program of the Chapter" which provides computer code for a central experiment. Two appendices complement the book. The first, by Yuval Fisher, discusses the details and ideas of fractal images and compression; the second, by Carl J.G. Evertsz and Benoit Mandelbrot, introduces the foundations and implications of multifractals. TOC:Introduction: Causality Principle, Deterministic Laws and Chaos; The Backbone of Fractals: Feedback and the Iterator; Classical Fractals and Self-Similarity; Limits and Self-Similrity; Length, Area and Dimension: measureing Complexity and Scaling Properties; Encoding Images by Simple Transformation; The Chaos Game: How Randomness Creates Deterministic Shapes; Recursive Structures: Growing of Fractals and Plants; Pascals Triangle: Cellular Automata and Attractors; Irregular Shapes: Randomness in Gractal Construction; Deterministic