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Fractal Geometry: Mathematical Foundations and Applications 2nd Edition
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Top Customer Reviews
It begins introducing basic topological concepts and then proceeds to develop the theory for several possible definitions of fractal dimension, showing the relations between them. Then it explores deeply the local geometry of different kinds of fractal objects, and studies some other geometrical situations, like the pojection of fractals (ever thought of a DIGITAL sundial? Here it is described!).
The book also includes a lot of applications to other areas of mathematics and physics, a great amount of graphics, and much more.
The text is suitable from third year undergraduate school and on. It is a larger but lighter version of "The Geometry of Fractal Sets".
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.
Excellent for understanding the geometrical properties of fractals.
Faculty of Mathematics and Computer Science
University of Bucharest
Most Recent Customer Reviews
Wrote my undergrad thesis with this book as my main source. I am manic I must say again. I read this book and used its applications for a personal project I cannot disclose. Read morePublished 13 months ago by Derek
I agree with all that was said by the other reviews here but add one important point. The physical layout, (typeface, drawings, whitespace etc.) of this book is brilliantly done. Read morePublished on October 7, 2006 by J. MOLDOVAN