Summary
Since Benoit Mandelbrot’s pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and educator A.A. Kirillov, A Tale of Two Fractals is in…
Book Details
| ISBN-13: | 9780817683818 |
|---|---|
| ISBN-10: | 081768381X |
| Author: | A.A. Kirillov |
| Publisher: | Birkhauser Boston Inc |
| Imprint: | Birkhauser Boston Inc |
| Format: | Hardcover |
| Number of Pages: | 138 |
| Edition: | 2013th |
| Release Date: | 23 April 2013 |
| Weight: | 3.55kg |
| Dimensions: | 235mm x 155mm |
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Critics Review
From the reviews:
“A Tale of Two Fractals was intended to bridge the gap between popular expositions on fractals and peer-reviewed research papers. … Kirillov (Univ. of Pennsylvania) includes open questions and conjectures along with references to papers and books that expand upon particular topics beyond the scope of the present volume. … the book is a useful addition to libraries supporting graduate programs in mathematics … . Summing Up: Recommended. Graduate students and above.” (C. Bauer, Choice, Vol. 51 (4), December, 2013)
“This volume deals with several mathematical problems concerning the qualitative analysis of some models on fractal domains. The author is mainly concerned with the Sierpiński and Apollonian gaskets. … This volume contains important advances in the theory of fractal sets or hyperbolic geometry. The book is a valuable resource for graduate students and researchers in applied nonlinear analysis.” (Vicenţiu D. Rădulescu, zbMATH, Vol. 1273, 2013)
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