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Fractals Everywhere: The First Course in Deterministic Fractal Geometry 1st Ed. Edition

3.9 out of 5 stars 14 customer reviews
ISBN-13: 978-0120790623
ISBN-10: 0120790629
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Product Details

  • Hardcover: 394 pages
  • Publisher: Academic Press; 1st Ed. edition (1988)
  • Language: English
  • ISBN-10: 0120790629
  • ISBN-13: 978-0120790623
  • Product Dimensions: 7.9 x 1.2 x 9.1 inches
  • Shipping Weight: 2 pounds
  • Average Customer Review: 3.9 out of 5 stars  See all reviews (14 customer reviews)
  • Amazon Best Sellers Rank: #643,865 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

10 of 11 people found the following review helpful By A Customer on June 22, 2001
Format: Paperback
This is a good book on applications of fractals; the chapters on modeling natural objects with iterated function systems (IFS) and fractal interpolation are especially useful. Many standard topics are included, for example, fractal dimension, Julia and Mandelbrot sets, chaos and the shift dynamical system. Some of the illustrations are captivating.
However, the book is not well organized, and the writing is extremely wordy to the point of being irritating. Some paragraphs read as if they belonged to a "Dummies" handbook. Also, I have to agree with one reviewer that the treatment of fractal dimension is poor. For one thing, it does not fully develop the intuition behind the concept-- much less the math. This same remark holds for the chapter on chaotic dynamics.
In summary, the book is fine for applications, but supplement your reading with a more substantial text.
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12 of 15 people found the following review helpful By Bernardo Vargas on April 11, 2000
Format: Paperback
This book was written by a regarded expert in the fields of digital image processing and data compression, and illustrates well how some "abstract" mathematical concepts can be applied successfully to such purposes.
However, it is evident that it was written in a rush, and the results can be seen. I have found a lot of typographic mistakes, errors in the exercises, and even errors in some of its mathematical proofs. Also, the author pays almost no attention to the fundamental concept of fractal geometry: the fractal dimension.
I read this book because I needed a strong background in fractal geometry to write my Bachelor's thesis, but got dissapointed because of its mathematical defficiencies, and eventually decided to move to better sources on the subject.
Please check my other reviews in my member page (just click on my name above).
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3 of 3 people found the following review helpful By Amazon Customer on August 5, 2008
Format: Paperback Verified Purchase
I really enjoyed the author's style. It is not a typical mathematical book. So if you are into strict formal mathematics this is not for you. The author has deep understanding of fractals and he is an expert in Iterated Function Systems (IFS). The shadow theorem is one of the biggest hits on this book.
What I particularly like from this book is the illustrations. They let you understand fractals intuitively. It is definitely an ideal book for engineers. Try also his other more advanced book SuperFractals
The only part of the book that is not very well developed is chaos, although the "chaotic dance" presented on the book is good starting point
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6 of 8 people found the following review helpful By Corn-Picker on November 12, 2006
Format: Paperback Verified Purchase
Barnsley's book has a shortcoming common to many math text books -- it's poorly written. Barnsely's writing style is superfluous and rambling. What I learned from this book was in spite of Barnsley's writing, not because of it.

Furthermore, the book's illustrations are substandard. There are over five different fonts used in illustrations (including hand written text). This leads to confusion when you're unsure if the text in Barnsley's illustrations is referring to Greek letters or the conventional alphabet. Another shortcoming is that Barnsley intermingles end of chapter exercises with new concepts. You may have problems 1.1 to 1.5 reviewing what you've already learned, and then problem 1.6 introduces completely new material. This is a problem throughout the book, as important concepts are introduced in exercises or otherwise illogical locations.

On the positive side, solutions to most exercises are presented at the end of the book. Overall the book was useful, but learning the material was unnecessarily difficult due to the book's shortcomings.
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5 of 7 people found the following review helpful By A Customer on May 31, 1998
Format: Hardcover
This book is an eye popping experience for anyone wishing to explore the nature of fractal geometry. A must have reference for anyone seriously studying the subject. If you are trying to Model objects in the physical world using fractals this is the book to get you jump started.
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1 of 1 people found the following review helpful By s. berger on October 14, 2014
Format: Hardcover
This is NOT a first course for anyone except those very, very well versed in mathematical topology. Even more complicated than Benoit Mandelbrot's book. Easy to get lost very quickly and drown in the math.
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3 of 5 people found the following review helpful By A Customer on September 11, 1998
Format: Paperback
This is a truly excellent textbook on the subject of fractals, complete with some runnable programs and comprehensive explanation of the principles of generating fractals. However, the proofs and examples are meaty, and it takes a long time to wade through the detail. But it is worth it.
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