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on 18 April 2014
This is the standard introductory text to the subject of fractal geometry, and is better motivated and more readable than the average postgraduate/upper level undergraduate mathematics textbooks.

A word of warning on the physical format though. I bought this as "new". What "new" means in this context is "print on demand" by Amazon. The quality is not bad, but it is not as high as a standard printed textbook and is certainly less durable. With this in mind, the pricetag seems a little high.
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on 12 December 2014
Arrived promptly, in perfect condition. "Fractal Geometry" provides an excellent introduction to the subject. The visual appeal would be improved by including colour diagrams, but that would of course drive up the price.
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on 4 June 2015
Fascinating subject.
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on 10 February 2003
Fractals make headlines from time to time[--are they everywhere?], and and they make lovely color pictures; but they are also part of a substantial mathematical theory, one with an
exciting mathematical history. This very important book presents
the subject in a way that it can be taught to students, and it starts with the basics, systematically, step by step, building up the material. Or it can be used for selfstudy! It has great exercises too! In view of the many applications to geometric analysis, to PDE, and to statistics, it is likely that fractal geometry will soon be a standard math course taught in many (more) math departments. By now it is widely recognized that the selfsimilarity aspects of the wavelet algorithms are key to their sucess. The book came out in 1990, and the author has an equally attractive book on the subject from 1985[The geometry of fractal sets] with a slightly more potential theoretic bent.
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on 17 June 2004
This book is a superset of the content of the Advanced Fractal Geometry undergraduate course at Prof. Falconer's university, St Andrews. Those parts of the book relevant to the course - most of Part One, as well as the chapters on self-similar sets, Julia/Mandelbrot sets and multifractals - explain and illustrate the concepts as clearly as is possible, so that even highly complex concepts (such as the relationship between Legendre transformation and dimensional spectra) are easily understood - well, with a little bit of effort...!
As someone who has done that course, I can say that this book is a perfect reference for it and for any other courses that cover similar material.
Well worthy of my five, good sir.
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