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Titlebook: Chaos and Fractals; New Frontiers of Sci Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe Textbook 19921st edition Springer-Verlag New York

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书目名称Chaos and Fractals
副标题New Frontiers of Sci
编辑Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe
视频video
图书封面Titlebook: Chaos and Fractals; New Frontiers of Sci Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe Textbook 19921st edition Springer-Verlag New York
描述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.
出版日期Textbook 19921st edition
关键词Mandelbrot; causality; complexity; mathematics
版次1
doihttps://doi.org/10.1007/978-1-4757-4740-9
isbn_ebook978-1-4757-4740-9
copyrightSpringer-Verlag New York 1992
The information of publication is updating

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https://doi.org/10.1007/1-4020-2351-0Our idea of randomness, especially with regard to images, is that structures or patterns which are created randomly look more or less arbitrary. Maybe there is some characteristic structure, but if so, it is probably not very interesting — like a box of nails poured out onto a table.
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https://doi.org/10.1007/b138598Chaos theory began at the end of last century with some great initial ideas, concepts and results of the monumental French mathematician Henri Poincaré. Also the more recent path of the theory has many fascinating success stories. Probably the most beautiful and important one is the theme of this chapter. It is known as the .,or ..
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Introduction,For many, chaos theory already belongs to the greatest achievements in the natural sciences in this century. Indeed, it can be claimed that very few developments in natural science have awakened so much public interest. Here and there, we even hear of changing images of reality or of a revolution in the natural sciences.
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The Chaos Game: How Randomness Creates Deterministic Shapes,Our idea of randomness, especially with regard to images, is that structures or patterns which are created randomly look more or less arbitrary. Maybe there is some characteristic structure, but if so, it is probably not very interesting — like a box of nails poured out onto a table.
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Polytropic and Adiabatic Processes,back to classical mathematics and mathematicians of the past like Georg Cantor (1872), Giuseppe Peano (1890), David Hilbert (1891), Helge von Koch (1904), Waclaw Sierpinski (1916), Gaston Julia (1918), or Felix Hausdorff (1919), to name just a few. Yes, indeed, it is true that the creations of these
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