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Measure, Topology, and Fractal Geometry~tqw~ darksiderg
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Measure, Topology, and Fractal Geometry~tqw~ darksiderg (Size: 8.57 MB) (Files: 3)
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Measure, Topology, and Fractal Geometry
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General Information
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Type.................: Ebook
Part Size............: 8,988,723 bytes
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Posted by............: ~tqw~
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Release Notes
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"In the world of mathematics, the 1980's might well be described as the "decade
of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal
Geometry of Nature, there has been a deluge of books, articles and television
programmes about the beautiful mathematical objects, drawn by computers using
recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald
Edgar's book is a significant addition to this deluge. Based on a course given
to talented high- school students at Ohio University in 1988, it is, in fact, an
advanced undergraduate textbook about the mathematics of fractal geometry,
treating such topics as metric spaces, measure theory, dimension theory, and
even some algebraic topology...the book also contains many good illustrations of
fractals (including 16 color plates)."
Table Of Contents
1 Fractal Examples 1
2 Metric Topology 41
3 Topological Dimension 85
4 Self-Similarity 117
5 Measure Theory 137
6 Fractal Dimension 165
7 Additional Topics 225
Appendix 251
Index 261
Product Details
* ISBN: 0387747486
* ISBN-13: 9780387747484
* Format: Hardcover, 268pp
* Publisher: Springer-Verlag New York, LLC
* Pub. Date: November 2007
* Edition Number: 2
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