Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? This volume is the revised second edition of the original book, published in 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.
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Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support?
This volume is the revised second edition of the original book, published in 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. Read more Read less.
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Verified Purchase. He was out in Arizona at the time - and I mailed this directly to him - he was thrilled to receive this and used it for a class. This book is written with brutal yet delicate When I started to read it could not swallow it dogmatically, then years brought me here, recurrently going back to the puzzle. Just one recommendation, be sure to understand Real Analysis , Functional Analysis Contraction Mapping , some Topology, you should be fine. This book is written with brutal yet delicate math strokes of talent and passion for math, just like the Van Gogh's painting on the side.
If you like this computer stuff, there are by now some good free tutorial videos on the cloud, particularly those of Ole Christensen at DTU dealing with Applied functional analysis and Wavelets in normed vector spaces i. Beware, this is not an easy book, I would say antipedagogic, the author presumes you are at least real analysis - literate. Bad mathematics book. 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.
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Fractals Everywhere. Michael F. Wessel, Santa Clara University "The style of writing is technically excellent, informative, and entertaining. An exploration of the tools, methods, and theory of deterministic geometry, the treatment focuses on how fractal geometry can be used to model real objects in the physical world. Two sixteen-page full-color inserts contain fractal images, and a bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images. Subsequent chapters examine transformations on metric spaces, dynamics on fractals, fractal dimension and interpolation, Julia sets, and parameter spaces.