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Chaos and Fractals: New Frontiers of Science
 
 

Chaos and Fractals: New Frontiers of Science (Hardcover)

by Heinz-Otto Peitgen (Author), Hartmut Jürgens (Author), Dietmar Saupe (Author) "For many, chaos theory already belongs to the greatest achievements in the natural sciences in this century ..." (more)
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Product details

  • Hardcover: 864 pages
  • Publisher: Springer; 2nd ed. edition (1 Mar 2004)
  • Language English
  • ISBN-10: 0387202293
  • ISBN-13: 978-0387202297
  • Product Dimensions: 23.4 x 20.2 x 4.8 cm
  • Average Customer Review: 5.0 out of 5 stars See all reviews (2 customer reviews)
  • Amazon.co.uk Sales Rank: 159,823 in Books (See Bestsellers in Books)

    Popular in these categories:

    #16 in  Books > Scientific, Technical & Medical > Mathematics > Applied Mathematics > Chaos & Fractal Theory
    #18 in  Books > Science & Nature > Mathematics > Chaos
    #31 in  Books > Science & Nature > Physics > Chaos & Dynamic Systems
  • See Complete Table of Contents

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Product Description

Review
"It is one of the best introductions to chaos and fractals around. … Unlike some other books on fractals, it can be read by non-specialists … . The book is beautifully produced and well illustrated so it is a pleasure to read." --Hugh Williams, The Mathematical Gazette, Vol. 90 (5l9), 2006

"Chaos and Fractals: New Frontiers of Science is an amazing introduction to the ideas of fractal geometry and chaotic dynamics ... . The authors have done a tremendous job in explaining quite difficult concepts in an elegant and simple way ... . I enjoyed this book tremendously the authors have put in a tremendous amount of work in making a vast and interesting subject accessible ... . I wholeheartedly recommend this book to anyone with even a passing interest in the subject matter." --Dr. S. Virmani, Contemporary Physics, Vol. 46 (6), 2005

"The first edition of this vast introduction to chaos and fractals appeared in 1992. This new edition is virtually identical to the original except for some material … . the book is … a wonderful tour of a fascinating area of mathematics, and now the reader can take this tour while carrying around a slimmer (but still hefty) volume. … The authors have a friendly conversational style … . This is a great book … ." --Raymond N. Greenwell, MathDL, May, 2005

Product Description
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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

Inside This Book (Learn More)
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For many, chaos theory already belongs to the greatest achievements in the natural sciences in this century. Read the first page
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6 of 7 people found the following review helpful:
5.0 out of 5 stars Complex, but excellent, 22 Sep 1997
By A Customer
While Chaos and Fractals isn't really a book for the layman, I highly recommend it for those of you out there who want a deep and comprehensive look at these things. I've read several fractal books, some simple (FractalVision: Making Fractals Work For You), some highly mathematical (Fractal Image Compression, Science of Fractals), but this is easily the best of the lot, not only for in-depth but understandable reading, but also for separation. If you only want to learn about bifurcation in repeated iteration, or only about strange attractors, just pick the appropriate chapter. If you don't want to know about the more complex proofs, skip them; they're in small print and set off with lines to mark them as optional.

I do recommend some mathematical education and an interest in (not necessarily a talent for) proofs to get the most from this book. They cite a lot of stuff that you probably haven't seen before if you haven't had some college calculus, at least the basics. And you won't understand the more complex stuff (basic topology, mainly) unless you've had some kind of proofs-based calc course. However, even without that, it's a _really_ neat book. There's a lot here that even the layman can understand, it's just that he'll be intimidated by the set-off parts that prove the results he's only skimming.

I highly recommend this to anyone who is serious about fractals, or thinks they might try to be so in the future. It will take quite some time for even a dedicated fractal enthusiast to become bored with the book, even if it's the only one you own.

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2 of 4 people found the following review helpful:
5.0 out of 5 stars This is the best book every written about Chaos and fractals, 23 Aug 1997
By A Customer
This is the absolute best book on chaos and fractals, it is not extremely complex so someone with little math or science background can understand it yet it goes into massive details and provides all formulas and equations with explanations, the entire book is easy to understand and contains so much knowledge. If you buy one book to deal with chaos and fractals it should be this one, it is the best!!
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