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Measure, Topology, and Fractal Geometry <br />
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General Information<br />
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Type.................: Ebook<br />
Part Size............: 8,988,723 bytes<br />
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Posted by............: ~tqw~<br />
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Release Notes<br />
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"In the world of mathematics, the 1980's might well be described as the "decade <br />
of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal <br />
Geometry of Nature, there has been a deluge of books, articles and television <br />
programmes about the beautiful mathematical objects, drawn by computers using <br />
recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald <br />
Edgar's book is a significant addition to this deluge. Based on a course given <br />
to talented high- school students at Ohio University in 1988, it is, in fact, an <br />
advanced undergraduate textbook about the mathematics of fractal geometry, <br />
treating such topics as metric spaces, measure theory, dimension theory, and <br />
even some algebraic topology...the book also contains many good illustrations of <br />
fractals (including 16 color plates)."<br />
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Table Of Contents<br />
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1 Fractal Examples 1<br />
2 Metric Topology 41<br />
3 Topological Dimension 85<br />
4 Self-Similarity 117<br />
5 Measure Theory 137<br />
6 Fractal Dimension 165<br />
7 Additional Topics 225<br />
Appendix 251<br />
Index 261<br />
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Product Details<br />
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* ISBN: 0387747486<br />
* ISBN-13: 9780387747484<br />
* Format: Hardcover, 268pp<br />
* Publisher: Springer-Verlag New York, LLC<br />
* Pub. Date: November 2007<br />
* Edition Number: 2<br />
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