Chaos and Fractals: New Frontiers of Science

by Heinz-Otto Peitgen

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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 show more 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. show less

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2 reviews
This book is written for everyone who, even without much knowledge of technical mathematics, wants to know the details of chaos theory and fractal geometry. This is not a textbook in the usual sense of the word, nor is it written in a "popular scientific" style. Rather, it has been our desire to give the reader a broad view of the underlying notions behind fractals, chaos and dynamics. In addition, we have wanted to show how fractals and chaos relate to each other and to many other aspects of mathematics as well as to natural phenomena. A third motif in the book is the inherent visual and imaginative beauty in the structures and shapes of fractals and chaos.

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13 Works 827 Members

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Original publication date
2004

Classifications

Genres
Nonfiction, Science & Nature, General Nonfiction
DDC/MDS
514.74Natural sciences & mathematicsMathematicsTopologyAnalytic TopologyFractals
LCC
QA614.86 .P43ScienceMathematicsMathematicsGeometry. Trigonometry. Topology
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Members
253
Popularity
127,647
Reviews
2
Rating
(3.89)
Languages
English
Media
Paper, Ebook
ISBNs
8
ASINs
1