Fractals Everywhere: The First Course in Deterministic Fractal Geometry [Hardcover]

Michael Fielding Barnsley (Author)

Book Description

ISBN-10: 0120790629 | ISBN-13: 978-0120790623 | Publication Date: 1988

Contents: Introduction; Metric Spaces, Equivalent Spaces, Classification of Subsets, and the Space of Fractals; Transformation on Metric Spaces, Contraction Mappings, and the Construction of Fractals; Chaotic Dynamics on Fractals; Fractal Dimension; Fractal Interpolation; Julia Sets; Parameter Spaces and Mandelbrot Sets; Introduction to Measures on Fractals. Heavily illustrated, including 32 color plates.

Editorial Reviews

Review

"The material contained in the second edition is quite obviously more extensive in detail and scope...the style of writing is technically excellent, informative, and entertaining... ."
—Robert McCarty

"The problems and examples are well-chosen and interesting...difficult concepts are introduced in a clear fashion with excellent diagrams and graphs."
—Alan E. Wessel, Santa Clara University --This text refers to an out of print or unavailable edition of this title.

From the Back Cover

"The material contained in the second edition is quite obviously more extensive in detail and scope...the style of writing is technically excellent, informative, and entertaining... ."
-Robert McCarty

"The problems and examples are well-chosen and interesting...difficult concepts are introduced in a clear fashion with excellent diagrams and graphs."
-Alan E. Wessel
Santa Clara University

This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world.

Features

A new chapter on recurrent iterated function systems, including vector recurrent iterated function systems.

Problems and tools emphasizing fractal applciations.

An all-new answer key to problems in the text, with solutions and hints.

This edition of Fractals Everywhere is the most up-to-date fractal textbook available today.

Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry







--This text refers to an out of print or unavailable edition of this title.

See all Editorial Reviews

Product Details

• Hardcover: 394 pages
• Publisher: Academic Press (1988)
• Language: English
• ISBN-10: 0120790629
• ISBN-13: 978-0120790623
• Product Dimensions: 9.3 x 7.7 x 1.2 inches
• Shipping Weight: 2 pounds
• Average Customer Review: 4.0 out of 5 stars  See all reviews (12 customer reviews)
• Amazon Best Sellers Rank: #694,755 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

11 of 14 people found the following review helpful:

3.0 out of 5 stars Good computer graphics book. Bad mathematics book., April 11, 2000

By 

Bernardo Vargas - See all my reviews

This review is from: Fractals Everywhere (Hardcover)

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).

6 of 7 people found the following review helpful:

4.0 out of 5 stars Good book for applications of fractal geometry, but...., June 22, 2001

By A Customer

This review is from: Fractals Everywhere (Hardcover)

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.

2 of 2 people found the following review helpful:

5.0 out of 5 stars The most intelligent and usefull book on fractals, August 5, 2008

By 

Nikolaos Vasiloglou "just an engineer" (Georgia Tech) - See all my reviews

This review is from: Fractals Everywhere (Paperback)

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