A fascinating memoir from the man who revitalized visual geometry, and whose ideas about fractals have changed how we look at both the natural world and the financial world. Benoit Mandelbrot, the creator of fractal geometry, has significantly improved our understanding of, among other things, financial variability and erratic physical phenomena. In The Fractalist, Mandelbrot recounts the high points of his life with exuberance and an eloquent fluency, deepening our understanding of the evolution of his extraordinary mind. We begin with his early years: born in Warsaw in 1924 to a Lithuanian Jewish family, Mandelbrot moved with his family to Paris in the 1930s, where he was mentored by an eminent mathematician uncle. During World War II, as he stayed barely one step ahead of the Nazis until France was liberated, he studied geometry on his own and dreamed of using it to solve fresh, real-world problems. We observe his unusually broad education in Europe, and later at Caltech, Princeton, and MIT. We learn about his thirty-five-year affiliation with IBM’s Thomas J. Watson Research Center and his association with Harvard and Yale. An outsider to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden laws governing utter roughness, turbulence, and chaos. Here is a remarkable story of both the man’s life and his unparalleled contributions to science, mathematics, and the arts.

The Fractalist: Memoir of a Scientific Maverick

Biographies & Memoirs

Mandelbrot, Benoît

Professionals & Academics

Pantheon

Here is the remarkable life story of Benoit Mandelbrot, the creator of fractal geometry, and his unparalleled contributions to science mathematics, the financial world, and the arts. Mandelbrot recounts his early years in Warsaw and in Paris, where he was mentored by an eminent mathematician uncle, through his days evading the Nazis in occupied France, to his education at Caltech, Princeton, and MIT, and his illustrious career at the IBM Thomas J. Watson Research Center. An outside to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden scientific laws. In the process he was able to use geometry to solve fresh, real-world problems. With exuberance and an eloquent fluency, Benoit Mandelbrot recounts the high points of his fascinating life, offering us a glimpse into the evolution of his extraordinary mind. With full-color inserts and black-and-white photographs throughout.

Vintage

This third volume of the Selected Works focusses on a detailed study of fraction Brownian motions. The fractal themes of "self-affinity" and "globality" are presented, while extensive introductory material, written especially for this book, precedes the papers and presents a number of striking new observations and conjectures. The mathematical tools so discussed will be valuable to diverse scientific communities.

Gaussian Self-Affinity and Fractals: Globality, The Earth, 1/f Noise, and R/S (Selected Works of Benoit B. Mandelbrot)

Science & Math

Mathematics

Springer

Mathematical superstar and inventor of fractal geometry, Benoit Mandelbrot, has spent the past forty years studying the underlying mathematics of space and natural patterns. What many of his followers don't realize is that he has also been watching patterns of market change. In The (Mis)Behavior of Markets, Mandelbrot joins with science journalist and former Wall Street Journal editor Richard L. Hudson to reveal what a fractal view of the world of finance looks like. The result is a revolutionary reevaluation of the standard tools and models of modern financial theory. Markets, we learn, are far riskier than we have wanted to believe. From the gyrations of IBM's stock price and the Dow, to cotton trading, and the dollar-Euro exchange rate--Mandelbrot shows that the world of finance can be understood in more accurate, and volatile, terms than the tired theories of yesteryear.The ability to simplify the complex has made Mandelbrot one of the century's most influential mathematicians. With The (Mis)Behavior of Markets, he puts the tools of higher mathematics into the hands of every person involved with markets, from financial analysts to economists to 401(k) holders. Markets will never be seen as "safe bets" again.

The Misbehavior of Markets: A Fractal View of Financial Turbulence

Business & Money

Hudson, Richard L.

Economics

Basic Books

Objets fractals - forme, hasard et dimension (Les)

Reference

Foreign Language Study & Reference

Flammarion

Les Objets fractals: Survol du langage fractal

Que son los objetos fractales ? Para que sirven, cual es su historia y por que se llaman asi ? Las fractales representan a la vez una teoria matematica y un metodo para analizar una gran diversidad de fenomenos de la naturaleza ; precisamente aquellos fenomenos que se nos antojan «sin ley», como la caprichosa forma de una costa, de una nube o, incluso, de una obra de arte. Benoît Mandelbrot creo las fractales a principios de los anos sesenta y hoy protagonizan investigaciones que se ocupan de fisica teorica, geografia, economia, biologia, etc., de modo que en la actualidad se puede decir que existe una concepcion y una geometria fractales de la naturaleza. Estas se basan, en esencia, en el concepto de autosimilitud, una propiedad exhibida por aquellos sistemas cuyas estructuras permanecen constantes al variar la escala de observacion ; en otras palabras : cuando las partes, por pequenas que estas sean, se parecen al todo.Este libro es el primer ensayo dedicado a exponer la teoria y es tambien, por lo tanto, un documento historico impregnado de las vivencias directas de este cientifico cuya sorprendente aventura intelectual se desarrolla entre la Universidad de Harvard y la IBM.

Los objetos fractales: Forma, azar y dimensión (Spanish Edition)

Tusquets Editores S.A.

Fractales y finanzas: Una aproximación matemática a los mercados: arriesgar, perder y ganar

Benoît Mandelbrot es conocido como el «padre de los fractales». Pero que es la geometria fractal ? Concedamos la palabra al propio Mandelbrot : «Por que a menudo se describe la geometria como algo ""frio"" y ""arido"" ? Si, es incapaz de descubrir la forma de la nube, una montana, una costa o un arbol, porque ni las nubes son esfericas, ni las montanas conicas, ni las costas circulares, ni el tronco de un arbol cilindrico, ni un rayo rectilineo. () Creo que muchas formas de la naturaleza son tan irregulares y fragmentadas que la naturaleza no solo presenta un grado mayor de complejidad, sino que esta se nos revela completamente diferente. () La existencia de estas formas representa un desafio : () la investigacion de la morfologia de lo «amorfo"". () En respuesta a este desafio, concebi y desarrolle una nueva geometria de la naturaleza y empece a aplicarla a una serie de campos. Permite describir muchas de las formas irregulares y fragmentadas que nos rodean, dando lugar a teorias coherentes, identificando una serie de formas que llamo fractales. () Algunos conjuntos fractales [tienen] formas tan disparatadas que ni en las ciencias ni en las artes he encontrado palabras que lo describieran bien. El lector puede hacerse una idea de ello ahora mismo con solo echar una rapida mirada a las ilustraciones de este libro». Y termina : «Contra lo que hubiera podido parecer en un principio, la mayoria de mis trabajos han resultado ser los dolores de parto de una nueva disciplina cientifica». Lo son, en efecto, de tal manera que esta nueva disciplina, la geometria fractal de la naturaleza, protagonizan hoy multiples investigaciones en todos los campos de la ciencia.

La geometría fractal de la naturaleza (Spanish Edition)

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