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Fractured Fractals and Broken Dreams

Self-similar Geometry through Metric and Measure

«Most 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 both rich 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 mathematicians explore and develop a new area.»

Fractal geometrics can arise in many different ways mathematically. This book proposes notions of coherent geometric structure, asking what exactly is a fractal "pattern"? A wide range of problems are dealt with, and examples given, which connect to other diverse areas of mathmatics. Les mer

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Fractal geometrics can arise in many different ways mathematically. This book proposes notions of coherent geometric structure, asking what exactly is a fractal "pattern"? A wide range of problems are dealt with, and examples given, which connect to other diverse areas of mathmatics.

Detaljer

Forlag
Clarendon Press
Innbinding
Innbundet
Språk
Engelsk
ISBN
9780198501664
Utgivelsesår
1997
Format
24 x 16 cm

Anmeldelser

«Most 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 both rich 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 mathematicians explore and develop a new area.»

«The book contains a great variety of concepts, examples, results, and open problems...the presentation is both intuitive and precise.»

Zentralblatt für Mathematik, 887

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