Fractal Geometry 2 Ed~tqw~_darksiderg

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Name:Fractal Geometry 2 Ed~tqw~_darksiderg

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Title................: Fractal Geometry 2 Ed
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 5.91 MB
Torrent Hash.........: 0F332A3E 21CCD238 A6195C38 E60F6E26 066BC876
Posted by............: ~tqw~


Fractal Geometry 2 Ed~tqw~_darksiderg preview 0
Everybody enjoys the pretty desktop backgrounds that can be made using
fractals; behind these pictures, however, is a large and active field of
mathematical endeavor, with many applications besides pictures. Falconer's
(math, University of St. Andrews) textbook could easily serve as the basis
for either an advanced undergraduate or introductory graduate special course
on fractals; the difficulty level leans slightly toward the graduate, but the
fact that very little background knowledge is required, even in measure
theory, recommends it to undergraduates. There are two major sections: the
first deals with the fundamental mathematics of fractals, such as Hausdorff
measure and dimension, box dimensions, and local structure, projections,
products, and intersections of fractals, while the second deals with
applications of fractals drawn from engineering, physics, and pure mathematics.

Table Of Contents:
Preface to the second edition
Course suggestions
Notes and references
Pt. I Foundations 1
Ch. 1 Mathematical background 3
Ch. 2 Hausdorff measure and dimension 27
Ch. 3 Alternative definitions of dimension 39
Ch. 4 Techniques for calculating dimensions 59
Ch. 5 Local structure of fractals 76
Ch. 6 Projections of fractals 90
Ch. 7 Products of fractals 99
Ch. 8 Intersections of fractals 109
Pt. II Applications and Examples 121
Ch. 9 Iterated function systems - self-similar and self-affine sets 123
Ch. 10 Examples from number theory 151
Ch. 11 Graphs of functions 160
Ch. 12 Examples from pure mathematics 176
Ch. 13 Dynamical systems 186
Ch. 14 Iteration of complex functions - Julia sets 215
Ch. 15 Random fractals 244
Ch. 16 Brownian motion and Brownian surfaces 258
Ch. 17 Multifractal measures 277
Ch. 18 Physical applications 298
References 317
Index 329

Product Details:
* ISBN: 0470848626
* ISBN-13: 9780470848623
* Format: Textbook Paperback, 368pp
* Publisher: WILEY
* Pub. Date: October 2003
* Edition Description: Second
* Edition Number: 2

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