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Getting Acquainted with Fractals~tqw~_darksiderg

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INFO
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Title................: Getting Acquainted with Fractals
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 2.23 MB
Torrent Hash.........: 293BE53D 1D752C73 0FA598DF D4E84601 40E0DB1F
Posted by............: ~tqw~

Trackers:
hxxp://tracker.bitreactor.to:2710/announce
hxxp://tracker.thepiratebay.org:80/announce

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CONTENTS
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Synopsis:
This text provides a mathematically oriented introduction to fractals, with
a focus upon three types of fractals: fractals of curves, attractors for
iterative function systems in the plane, and Julia sets. The presentation is
on an undergraduate level, with an ample presentation of the corresponding
mathematical background, e.g., linear algebra, calculus, algebra, geometry,
topology, measure theory and complex analysis. The text is complemented by
more than 170 coloured illustrations.

Table Of Contents:
Preface v
Fractals and dimension 1
The game of deleting and replacing 1
The box-counting dimension 50
The Hausdorff dimension 55
Iterative function systems 63
The space of compact subsets of a complete metric space 63
Contractions in a complete metric space 70
Affine iterative function systems in R[superscript 2] 74
Iteration of complex polynomials 109
General theory of Julia sets 111
Julia sets for quadratic polynomials 121
The Mandelbrot set 124
Generation of Julia sets 150
Bibliography 165
List of symbols 169
Index 171
Contents (detailed) 175

Product Details:
* ISBN: 3110190923
* ISBN-13: 9783110190922
* Format: Hardcover, 177pp
* Publisher: Walter de Gruyter, Inc.
* Pub. Date: January 2007

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Greetz Fellow UL'ers
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A Very Special Shout Out To The DSRG Staff

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