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Fractals: Endlessly Repeated Geometrical Figures (Paperback)

by Hans Lauwerier (Author), Sophia Gill-Hoffstadt (Translator)
4.9 out of 5 stars See all reviews (7 customer reviews)

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Editorial Reviews

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This is a valuable, attractive and unpretentious introduction to a fascinating subject. -- Review

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This is a valuable, attractive and unpretentious introduction to a fascinating subject.
(American Scientist )

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Product Details

  • Paperback: 224 pages
  • Publisher: Princeton University Press; 1st edition (May 21, 1991)
  • Language: English
  • ISBN-10: 0691024456
  • ISBN-13: 978-0691024455
  • Product Dimensions: 8.5 x 5.5 x 0.5 inches
  • Shipping Weight: 10.7 ounces
  • Average Customer Review: 4.9 out of 5 stars See all reviews (7 customer reviews)
  • Amazon.com Sales Rank: #829,891 in Books (See Bestsellers in Books)

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    #99 in  Books > Science > Mathematics > Pure Mathematics > Fractals

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Customer Reviews

7 Reviews
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Average Customer Review
4.9 out of 5 stars (7 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

 
5 of 5 people found the following review helpful:
4.0 out of 5 stars Very nice book...short but packed full of information, October 19, 1999
By A Customer
This is a nice book that will start you on the wonderful world of fractals. Contains BASIC source code for you to try. Very informative, you'll learn about the history of fractals and shows you the many different ideas and mathematical insights about fractals. This is really a good starter book (though you need background in algebra and trigonometry to follow the math equations).
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3 of 3 people found the following review helpful:
5.0 out of 5 stars A Classic of Fractals, July 29, 2001
By R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews
(REAL NAME)      
In all my library of fractal books this one stands out as the most enlightening and the most useful. Hans Lauwerier is a master of Chaos and fractal theory. His method of analysis of IFS fractals is the best. He is just publishing a new book that should be rewarding as well.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars A Excellent Introduction to Fractals, June 21, 2001
By A Customer
This book is nicely written, well-organized and beautifully illustrated. It introduces most of the standard topics with a minimum of math, for example, iterated function systems, chaos, Mandelbrot and Julia sets, and random fractals. Among introductory semi-formal treatments of fractals I have seen, it strikes the best balance between concision, simplicity, and mathematical detail.

However, this somewhat dated volume needs a revision to upgrade the code from Basic to, say, Java. When the book was first published, microcomputers were relatively weak. Consequently, the book makes a few digressions into some rather involved algorithms designed to minimize memory use. Of course, today's machines are much more powerful. It is a lot simpler to use recursion (although this uses up memory liberally) in the fractal programs.

Finally, I think that the geometry could be made conceptually cleaner by mentioning that a general similitude (of which a contraction mapping is one example) on the plane can be written as a composition of rotations, translations, reflections, and scalings.

For more substantial treatments of fractals that don't demand too much math background, see "Fractals Everywhere" by M. Barnsley and "Introduction to Fractals and Chaos" by R. Crownover. However, one should read Lauwerier's slim and elegant volume before and after studying these more advanced works--before, as an introduction, and after, as a delightful summary and "bird's eye view" of the subject.

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Most Recent Customer Reviews

5.0 out of 5 stars Short, packed with information, math backround needed
If you want to read this book, there are a couple of recommendations from me:

First, review your math: number systems, mods, logarithms, trigonometry, functions... Read more
Published on May 2, 2006 by Tolga BALCI

5.0 out of 5 stars For people seeking to program Fractals or Chaos
This is a great book. Only until you work with it will you find how good it is. My favorite thing in this book is what the author calls contraction mirroring and is discussed in... Read more
Published on March 27, 2002 by Erik Nilson

5.0 out of 5 stars Excellent book for anyone wanting to explore fractals.
This book is an excellent resource for anyone wanting to explore fractals. It covers many different kinds of fractals and chaotic systems. Read more
Published on December 23, 1998

5.0 out of 5 stars A Master Work by a Fractal Poet!
Timeless code and timeless explainations of the fractal processes of nature. One of the masters of the modern fractal world: I wish I had had this book when I started out! Read more
Published on March 19, 1998

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