Mandelbrot set

Benoit mandelbrot contribution in mathematics
Benoit mandelbrot died
How did benoit mandelbrot discovered fractals

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Mandelbrot set

Fractal named after mathematician Benoit Mandelbrot

The Mandelbrot set ()^[1]^[2] is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers for which the function does not diverge to infinity when iterated starting at , i.e., for which the sequence , , etc., remains bounded in absolute value.

This set was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups.^[3] Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations of the set while working at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York.

Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The "style" of this rec

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Benoit Mandelbrot

Quick Info

Born

20 November 1924
Warsaw, Poland

Died

14 October 2010
Cambridge, Massachusetts, USA

Summary

Benoit Mandelbrot was largely responsible for the present interest in Fractal Geometry. He showed how Fractals can occur in many different places in both Mathematics and elsewhere in Nature.

Biography

Benoit Mandelbrot was largely responsible for the present interest in fractal geometry. He showed how fractals can occur in many different places in both mathematics and elsewhere in nature.

Mandelbrot was born in Poland in 1924 into a family with a very academic tradition. His father, however, made his living buying and selling clothes while his mother was a doctor. As a young boy, Mandelbrot was introduced to mathematics by his two uncles.

Mandelbrot's family emigrated to France in 1936 and his uncle Szolem Mandelbrojt, who was Professor of Mathematics at the Collège de France and the successor of Hadamard in this post, took responsibility for his education. In fact the influence of Szolem Mandelbrojt was both positive and nega

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Benoît Mandelbrot
Mandelbrot in 2007
Born	November 20 1924(1924-11-20) Warsaw, Poland
Died	14 October 2010 (aged 85) Cambridge, Massachusetts, United States
Residence	Poland, France, United States
Nationality	Polish, French, American
Fields	Mathematics, Aerodynamics
Institutions	Yale University International Business Machines (IBM) Pacific Northwest National Laboratory
Alma mater	École Polytechnique California Institute of Technology University of Paris
Doctoral advisor	Paul Lévy
Doctoral students	Laurent Calvet Eugene Fama Ken Musgrave Murad Taqqu Daniel Zajdenweber
Known for	Mandelbrot set Fractals Chaos Theory Zipf–Mandelbrot law
Influences	Johannes Kepler
Notable awards	Harvey Prize (1989) Wolf Prize (1993) Japan Prize (2003) Franklin Medal Légion d'honneur
Spouse	Aliette Kagan (1955–2010, his death)

Benoît B. Mandelbrot (November 20, 1924 – October 14, 2010) was a Polish-born, French and American mathematician, noted for developing a "theory of roughness" in nature and the field of fractal geomet