Fractals and Chaos: The Mandelbrot Set and Beyond

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Springer Science & Business Media, Jan 9, 2004 - Mathematics - 308 pages
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It has only been a couple of decades since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. That picture, now seeming graphically primitive, has changed our view of the mathematical and physical universe. The properties and circumstances of the discovery of the Mandelbrot Set continue to generate much interest in the research community and beyond. This book contains the hard-to-obtain original papers, many unpublished illustrations dating back to 1979 and extensive documented historical context showing how Mandelbrot helped change our way of looking at the world.

  

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LibraryThing Review

User Review  - fpagan - LibraryThing

Mostly a selection of the author's technical papers from the 1980s. The newly written and more discursive chapters are interesting, but even they show evidence of Mandelbrot's characteristic crypticality. Read full review

Contents

III
9
IV
27
V
37
VI
52
VII
73
VIII
96
IX
100
X
110
XVIII
171
XIX
178
XX
193
XXI
205
XXII
221
XXIV
231
XXV
239
XXVI
251

XI
114
XII
117
XIII
125
XIV
137
XVI
146
XVII
157
XXVII
259
XXIX
268
XXX
276
XXXI
281
XXXII
299
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Page 6 - Minnesota who joined the Thomas J. Watson Research Center of the International Business Machines Corporation after obtaining his Ph.D. at the University of California at Berkeley under the guidance of John Clarke. This work is not likely to restore "imitation...
Page 297 - C. 1986 Geometrical Markov coding of geodesies on surfaces of constant negative curvature. Ergodic Theory Dynam.

References to this book

About the author (2004)

Benoit B. Mandelbrot is Sterling Professor of Mathematical Sciences at Yale University and IBM Fellow Emeritus (Physics) at the IBM T. J. Watson Research Center