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Name:The Fractal Geometry of Nature~tqw~_darksiderg

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INFO
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Title................: The Fractal Geometry of Nature
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 38.4 MB
Torrent Hash.........: BF776D86C1CF3C4E68972A9DE118A45D049B26F9
Posted by............: ~tqw~

Trackers:
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CONTENTS
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The Fractal Geometry of Nature~tqw~_darksiderg preview 0
Synopsis:
Clouds are not spheres, mountains are not cones, and lightening does not
travel in a straight line. The complexity of nature's shapes differs in
kind, not merely degree, from that of the shapes of ordinary geometry, the
geometry of fractal shapes.

Table Of Contents:
I INTRODUCTION
1 Theme
CONTENTS
2 The Irregular and Fragmented in Nature 6
3 Dimension, Symmetry, Divergence 14
4 Variations and Disclaimers 20
II THREE CLASSIC FRACTALS, TAMED
5 How Long is the Coast of Britain? 25
. 6 Snowflakes and Other Koch Curves 34
7 Harnessing the Peano Monster Curves 58
8 Fractal Events and Cantor Dusts 74
III GALAXIES AND EDDIES
9 Fractal View of Galaxy Clusters 84
10 Geometry of Turbulence; Intermittency 97
11 Fractal Singularities of Differential Equations 106
IV SCALING FRACTALS
12 Length-Area-Volume Relations 109
13 Islands, Clusters, and Percolation; Diameter-Number Relatior
14 Ramification and Fractal Lattices 131
V NONSCALING FRACTALS
15 Surfaces with Positive Volume, and Flesh 147
16 Trees; Scaling Residues; Nonuniform Fractals 151
17 Trees and the Diameter Exponent 156
VI SELF-MAPPING FRACTALS
18 Self-Inverse Fractals, Apollonian Nets, and Soap 166
19 Cantor and Fatou Dusts; Self-Squared Dragons 180
20 Fractal Attractors and Fractal ("Chaotic") Evolutions 193
VII RANDOMNESS
21 Chance as a Tool in Model Making 200
22 Conditional Stationarity and Cosmographic Principles 205
VIII STRATIFIED RANDOM FRACTALS
23 Random Curds: Contact Clusters and Fractal Percolation 21
24 Random Chains and Squigs 224
25 Brownian Motion and Brown Fractals 232
26 Random Midpoint Displacement Curves 244
IX FRACTIONAL BROWN FRACTALS
27 River Discharges; Scaling Nets and Noises 247
28 Relief and Coastlines 256
29 The Areas of Islands, Lakes, and Cups 272
I:! A BOOK-WITHIN-THE-BOOK, IN COLOR
30 Isothermal Surfaces of Homogeneous Turbulence 277
X RANDOM TREMAS; TEXTURE
31 Interval Tremas; Linear Levy Dusts 280
32 Subordination; Spatial Levy Dusts; Ordered Galaxies 288
33 Disc and Sphere Tremas: Moon Craters and Galaxies 301
34 Texture: Gaps and Lacunarity; Cirri and Succolarity 310
35 General Tremas, and the Control of Texture 319
XI MISCELLANY
36 Logic of Fractals in Statistical Lattice Physics 326
37 Price Change and Scaling in Economics 335
38 Scaling and Power Laws Without Geometry 341
39 Mathematical Backup and Addenda 349
XII OF MEN AND IDEAS
40 Biographical Sketches 391
41 Historical Sketches 405
42 Epilog: The Path to Fractals 422
LIST OF REFERENCES 425
ACKNOWLEDGMENTS 445
INDEX OF SELECTED DIMENSIONS 446
INDEX OF NAMES AND SUBJECTS 448
UPDATE ADDED IN THE SECOND PRINTING 458

Product Details:
* ISBN: 0716711869
* ISBN-13: 9780716711865
* Format: Hardcover, 480pp
* Publisher: W. H. Freeman Company
* Pub. Date: August 1982
* Edition Description: New Edition
* Edition Number: 1

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Greetz Fellow UL'ers
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