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portada Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure (Oxford Lecture Series in Mathematics and its Applications)
Type
Physical Book
Publisher
Author
Year
1998
Language
English
Pages
212
Format
Hardcover
Weight
1.00
ISBN
0198501668
ISBN13
9780198501664
Categories

Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure (Oxford Lecture Series in Mathematics and its Applications)

Guy David; Stephen Semmes (Author) · Clarendon Press · Hardcover

Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure (Oxford Lecture Series in Mathematics and its Applications) - Guy David; Stephen Semmes

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Synopsis "Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure (Oxford Lecture Series in Mathematics and its Applications) "

Fractal patterns have emerged in many contexts, but what exactly is a pattern? How can one make precise the structures lying within objects and the relationships between them? This book proposes new notions of coherent geometric structure to provide a fresh approach to this familiar field. It develops a new concept of self-similarity called "BPI" or "big pieces of itself," which makes the field much easier for people to enter. This new framework is quite broad, however, and has the potential to lead to significant discoveries. The text covers a wide range of open problems, large and small, and a variety of examples with diverse connections to other parts of mathematics. Although fractal geometries arise in many different ways mathematically, comparing them has been difficult. This new approach combines accessibility with powerful tools for comparing fractal geometries, making it an ideal source for researchers in different areas to find both common ground and basic information.

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