Benoit Mandelbrot( Mathematics)
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Biography Benoit Mandelbrot
Benoit Mandelbrot (1924) - a famous mathematician. He devised a mathematical object, called them "fractals" (from the Latin "fractus", meaning "broken, broken) - geometric shapes with an infinite perimeter.
Benoit Mendelbrot was born in Warsaw in 1924. In 1936 Benoit Mandelbrot's family emigrated to France in Paris (where his uncle was already living Benoit - Francois Mandelbrot, a member of the group of mathematicians, known as the common pseudonym "Nicolas Bourbaki").
After the war Mandelbrot moved to the south of France, in the town of Tulle.
There Benoit Mandelbrot went to school, but soon lost interest in study. So sixteen years Benoit barely knew the alphabet and multiplication table up to five.
But Benoit Mandelbrot has opened an unusual mathematical gift which enabled him immediately after the war to become a student at the Sorbonne. It turned out that Benoit excellent spatial imagination. He even solved algebraic problems geometrically. The originality of his decisions allowed Benoit Mandelbrot to university.
After graduating from university, Benoit Mandelbrot was the first "pure" mathematician. He received his doctorate and tried to go as far as possible from the official academic science.
In 1958, Mandelbrot joined the research center of IBM in Yorktown, poskulku IBM at that time engaged in just interesting Benoit Mandelbrot areas of mathematics.
Working at IBM Benoit Mandelbrot had moved far away from the purely applied problems of the company. He worked in the field of linguistics, game theory, economics, aeronautics, geography, physiology, astronomy, physics. He liked it to switch from one topic to another, explore different areas.
Exploring the economy, Benoit Mandelbrot discovered that the seemingly random fluctuations in prices may follow the hidden mathematical order of time, which is not described by standard curves.
Benoit Mandelbrot began studying statistics in cotton prices over a long period of time (more than one hundred years). Fluctuations throughout the day seemed to be random, but Mandelbrot was able to ascertain the trend of their change. He followed the symmetry in the long-term price fluctuations and vibrations of short-term. This discovery was a surprise to economists.
In fact, Benoit Mandelbrot used to solve this problem, the rudiments of its recursive (fractal) method.
The concept of "fractal" invented himself Benoit Mandelbrot (from the Latin "fractus", meaning "broken, broken).
Fractals in mathematics called geometric shapes with an infinite perimeter - if you raise a piece of border fractal shapes, it becomes evident that it has a complicated form, repeating itself on a small scale figure. Such geometric regularity is called scaling or self-similarity.
We can say that all objects with fuzzy, chaotic, disordered structure (such in the nature of the vast majority) were composed of fractals.
Currently, fractals are studied not only as an interesting mathematical phenomenon, but also from an artistic point of view - they are very beautiful. Now with the help of fractals draw pictures, make designs for carpets.