Fractured Fractals and Broken Dreams Self-Similar Geometry Through Metric and Measure |
|
| Author:
| David, Guy
Semmes, Stephen |
| Series title: | Oxford Lecture Series in Mathematics and Its Applications |
| ISBN: | 978-0-19-850166-4 |
| Publication Date: | Oct 1997 |
| Publisher: | Oxford University Press
|
| Book Format: | Hardback |
| List Price: | AUD $279.09AUD $360.00 |
Book Description:
|
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 of mathematics.
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 of mathematics.