Fractured Fractals and Broken Dreams
self-similar geometry through metric and measure
$214.39
- Hardcover
224 pages
- Release Date
27 November 1997
Summary
This book proposes new notions of coherent geometric structure. Fractal patterns have emerged in many contexts, but what exactly is a “pattern” and what is not? How can one make precise the structures lying within objects and the relationships between them? The foundations laid herein provide a fresh approach to a familiar field. From this emerges a wide range of open problems, large and small, and a variety of examples with diverse connections to other parts ofmathematics. One of the main f…
Book Details
| ISBN-13: | 9780198501664 |
|---|---|
| ISBN-10: | 0198501668 |
| Series: | Oxford Lecture Series in Mathematics and Its Applications |
| Author: | Stephen Semmes, Guy David |
| Publisher: | Oxford University Press |
| Imprint: | Oxford University Press |
| Format: | Hardcover |
| Number of Pages: | 224 |
| Release Date: | 27 November 1997 |
| Weight: | 460g |
| Dimensions: | 242mm x 162mm x 17mm |
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Critics Review
‘The book contains a great variety of concepts, examples, results, and open problems…the presentation is both intuitive and precise.‘Zentralblatt fur Mathematik, 887
`The book contains a great variety of concepts, examples, results, and open problems…the presentation is both intuitive and precise.‘Zentralblatt für Mathematik, 887Most of the material in this book is completely new and the style, though unusual, is a refreshing change from convetional texts. The authors have taken a natural but not too stront notion relating to sets of fine structure, and follwed through its properties, relationships and applications. They freely admit that their framework is not theonly possible one, but by the end of the book they have more than justified theri claim that their approach is bothrich and flexible. The book is recommended not only for those interested in the broad subject of he geometry of fractal sets and measures but also as a fine insight into how two eminent mathematiciansexplore and develop a new area.
About The Author
Stephen Semmes
Guy David is a Professor of Mathematics at University Paris XI and Institut Universitaire de France. Stephen Semmes is a Professor of Mathematics at Rice University, Texas.
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