This book has mild rubbing and surface scratching to both covers and a very shallow, glancing dent to the front cover, otherwise this book is in excellent condition with crisp, unmarked pages, a tight binding, and a strong cover.

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Bibliographic Details

Title

Some Novel Types of Fractal Geometry (Oxford Mathematical Monographs)

Publisher

Clarendon Press

Publication Date

2001

Language

English

ISBN 10

0198508069

ISBN 13

9780198508069

Binding

Hardcover

Condition

Near Fine

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Special Science

About this title

Synopsis

This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincar� inequalities, concerning the relationship between the average behavior of a function and the average behavior of its small-scale oscillations. Remarkable results in the last few years through Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other had, 'typical' fractals that might be seen in pictures do not have these same kinds of features. This text examines these topics in detail and will interest graduate students as well as researchers in mathematics and various aspects of geometry and analysis.

About the Author

Professor Stephen Semmes, Mathematics Department, Rice University, Houston.

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