Chaos and fractals : new frontiers of science / Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe.

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 captur...

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Bibliographic Details
Main Author: Peitgen, Heinz-Otto, 1945-
Other Authors: Jürgens, H. (Hartmut), Saupe, Dietmar, 1954-
Format: eBook
Language:English
Published: New York : Springer-Verlag, ©1992.
Subjects:
Online Access:Click for online access

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100 1 |a Peitgen, Heinz-Otto,  |d 1945-  |1 https://id.oclc.org/worldcat/entity/E39PBJrcm7Twgt4VRYCB8jqmh3 
245 1 0 |a Chaos and fractals :  |b new frontiers of science /  |c Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe. 
260 |a New York :  |b Springer-Verlag,  |c ©1992. 
300 |a 1 online resource (xvi, 984 pages, 24 unnumbered pages of plates) :  |b illustrations (some color), maps 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 955-969) and index. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
520 |a 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 
588 0 |a Print version record. 
505 0 |a Introduction: Causality Principle, Deterministic Laws and Chaos -- 1 The Backbone of Fractals: Feedback and the Iterator -- 2 Classical Fractals and Self-Similarity -- 3 Limits and Self-Similarity -- 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5 Encoding Images by Simple Transformations -- 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- 7 Recursive Structures: Growing of Fractals and Plants -- 8 Pascal's Triangle: Cellular Automata and Attractors -- 9 Irregular Shapes: Randomness in Fractal Constructions -- 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12 Strange Attractors: The Locus of Chaos -- 13 Julia Sets: Fractal Basin Boundaries -- 14 The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression -- A.1 Self-Similarity in Images -- A.2 A Special MRCM -- A.3 Encoding Images -- A.4 Ways to Partition Images -- A.5 Implementation Notes -- B Multifractal Measures -- B.1 Introduction -- B.2 The Binomial and Multinomial Measures -- B.5 Some Applications, and Advanced Multifractals. 
586 |a Association of American Publishers PROSE Award, 1992. 
650 0 |a Fractals. 
650 0 |a Chaotic behavior in systems. 
650 7 |a fractals.  |2 aat 
650 7 |a Fractales  |2 embne 
650 7 |a Comportamiento caótico en sistemas  |2 embne 
650 7 |a Chaotic behavior in systems  |2 fast 
650 7 |a Fractals  |2 fast 
650 1 7 |a Chaos.  |2 gtt 
650 1 7 |a Fractals.  |2 gtt 
650 7 |a Fractales.  |2 ram 
650 7 |a Chaos (Théorie des systèmes)  |2 ram 
700 1 |a Jürgens, H.  |q (Hartmut)  |1 https://id.oclc.org/worldcat/entity/E39PBJhMkJJFMkkWB4GCC9hGpP 
700 1 |a Saupe, Dietmar,  |d 1954-  |1 https://id.oclc.org/worldcat/entity/E39PBJrCdJd98wRDHrffHCBMfq 
776 0 8 |i Print version:  |a Peitgen, Heinz-Otto, 1945-  |t Chaos and fractals.  |d New York : Springer-Verlag, ©1992  |w (DLC) 92023277  |w (OCoLC)26256874 
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