This volume is the revised second edition of the original book, published in 1988. It includes additional problems and tools emphasizing fractal applications, as well as an all-new answer key to the text exercises. The revision incorporates new chapters on vector recurrent iterated function systems and application of fractals. It also contains an extended chapter on dynamical systems. Input from advisors and potential adopters should make it more suitable for use as a textbook. This book should be of interest to mathematicians and computer scientists, upper-level undergraduate students and graduate students at universities offering courses in chaos and fractals.
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Book Description
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.
—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
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.
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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.,
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....,
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,
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
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Inside This Book
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First Sentence:
Fractal geometry will make you see everything differently. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
associated shift dynamical system, escape time algorithm, random iteration algorithm, using escape times, fractal interpolation functions, contractivity factor, equivalent metric spaces, periodic address, equivalent dynamical systems, recurrent iterated function systems, repulsive fixed point, collage theorem, repelling set, repulsive cycle, shadowing theorem, attractive cycle, condensation set, vertical scaling factors, shift dynamical systems, fractal system, attractive fixed point, whose attractor, metric equivalence, shadowing orbit, unique attractor Key Phrases - Capitalized Phrases (CAPs): (learn more)
Escape Time Algorithm, Box Counting Theorem, Great Britain, Shadow Theorem, Chaos Game, Deterministic Algorithm, North Pole, Rewrite Program, Black Forest, Black Spleenwort, Sunflower Field, British Isles, Photocopy Machine, Proof Suppose, South Pole, The Space Where Fractals Live, Closed Sets, Compute Orbits, Fractal Image Compression, Prove Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Fractal geometry will make you see everything differently. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
associated shift dynamical system, escape time algorithm, random iteration algorithm, using escape times, fractal interpolation functions, contractivity factor, equivalent metric spaces, periodic address, equivalent dynamical systems, recurrent iterated function systems, repulsive fixed point, collage theorem, repelling set, repulsive cycle, shadowing theorem, attractive cycle, condensation set, vertical scaling factors, shift dynamical systems, fractal system, attractive fixed point, whose attractor, metric equivalence, shadowing orbit, unique attractor Key Phrases - Capitalized Phrases (CAPs): (learn more)
Escape Time Algorithm, Box Counting Theorem, Great Britain, Shadow Theorem, Chaos Game, Deterministic Algorithm, North Pole, Rewrite Program, Black Forest, Black Spleenwort, Sunflower Field, British Isles, Photocopy Machine, Proof Suppose, South Pole, The Space Where Fractals Live, Closed Sets, Compute Orbits, Fractal Image Compression, Prove Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 21
books:
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100
books
cite this book:
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- Computer Graphics by Acm Press in Back Matter (1), and Back Matter (2)
- Fractal Image Compression by Michael Barnsley on page 388, and page 418
- Geometric Measure Theory (Classics in Mathematics) by Herbert Federer in Back Matter
- Fractals and Chaos by A.J. Crilly on page 418
- Make a Movie That Tells a Story on page 386
See all 21 books this book cites
- A Course in Modern Geometries by Judith N. Cederberg on page 373, page 383, and Back Matter
- Numerical Computing with Matlab by Cleve B. Moler on page 13, page 15, and Back Matter
- Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen in Front Matter, page 207, and Back Matter
- Fractals: The Patterns of Chaos: Discovering a New Aesthetic of Art, Science, and Nature (A Touchstone Book) by John Briggs in Back Matter (1), Back Matter (2), and Back Matter (3)
- Fractals and Chaos Simplified for the Life Sciences by Larry S. Liebovitch on page 110, page 111, and Back Matter
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