Benoit Mandelbrot : a life in many dimensions /
This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, t...
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Corporate Authors: | |
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Group Author: | ; |
Published: |
World Scientific Pub. Co.,
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Publisher Address: | Singapore ; Hackensack, N.J. : |
Publication Dates: | 2015. |
Literature type: | eBook |
Language: | English |
Series: |
Fractals and Dynamics in Mathematics, Science, and the Arts : theory and applications ;
vol. 1 |
Subjects: | |
Online Access: |
www.worldscientific.com/worldscibooks/10.1142/8238#t=toc |
Summary: |
This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, a historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit. Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot. While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments. |
Carrier Form: | 1 online resource (xxiii, 553 pages) : illustrations (some color). |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 9789814366076 |
Index Number: | QA29 |
CLC: | K837.126.11 |
Contents: | ch. 1. Watching Benoit at work / Aliette Mandelbrot -- ch. 2. Benoit Mandelbrot: nor does lightning travel in a straight line / Michael Frame -- ch. 3. Irregularities and scaling in signal and image processing: multifractal analysis / Patrice Abry, Stephane Jaffard, Herwig Wendt -- ch. 4. Three-dimensional fractal homeomorphisms / Michael F. Barnsley and Brendan Harding -- ch. 5. Mandelbrot's cascades: a legendary destiny / Julien Barral and Jacques Peyriere -- ch. 6. Benoit Mandelbrot and art / Javier Barrallo -- ch. 7. The nature of fractal music / Harlan J. Brothers -- ch. 8. Fractal antenna and fractal resonator primer / Nathan Cohen -- ch. 9. Fractal-based wideband invisibility cloak / Nathan Cohen ... [et al.] -- ch. 10. From fractional Brownian motion to multifractional and multistable motion / Kenneth Falconer -- ch. 11. Watching the markets misbehave / Richard L. Hudson -- ch. 12. Partition zeta functions, multifractal spectra, and tapestries of complex dimensions / Kate E. Ellis ... [et al.] -- ch. 13. Benoit Mandelbrot, films, and me: a tribute / Nigel Lesmoir-Gordon -- ch. 14. Fractals and humor / Demetri Martin -- ch. 15. Multifractal measures of time series: curvature surfaces of f([symbol]) curves / William Martino and Michael Frame -- ch. 16. Benoit Mandelbrot, educator / Nial Neger and Harlan J. Brothers -- ch. 17. The art of roughness / Emer O'Daly -- ch. 18. Long-range dependence of the two-dimensional Ising model at critical temperature / Vladas Pipiras and Murad S. Taqqu -- ch. 19. Benoit Mandelbrot, W. H. Freeman, and the launch of The Fractal Geometry of Nature / Peter Renz -- ch. 20. Math and physics: L evy flights and drives / Michael Shlesinger -- ch. 21. Benoit Mandelbrot in finance / Christian Walter -- ch. 22. How Benoit Mandelbrot changed my thinking about biological form / Ewald R. Weibel -- ch. 23. Entropic origin of allometry relations / Bruce J. West and Damien West -- ch. 24. Music and fractals / Charles Wuorinen -- ch. 25. Stories about Benoit -- ch. 26. Some final thoughts / Michael Frame. |