Lebesgue Henri Louis

Lebesgue, Henri Louis (28.04.1875-26.07.41) French mathematician, doctor of philosophy (1902), Professor (1902), member. Paris Academy of Sciences (1922), London Royal Islands (1930), Foreign Corresponding-Member. USSR (1929). Genus. Beauvais (Oise department). Ibid graduated with honors from high school. At the end of the Normal School in Paris, received a master's degree. Worked as assistant in the Department of Mathematics, University of Paris-ta, where in 1902 he defended his thesis for a doctorate. After that was a professor Zap in Poitiers. Returning in 1910 in Paris, A. worked at the College de France and the normal school.
First studies L. were Fourier. Later he became interested in the theory of integration. L. considered one of the founders of the modern theory of functions of real variable. He created the theory of measures, introduced the concept of measurable function, introduced a new definition of the integral - the integral of the Lebesgue. With the new definition of the integral made possible the integration of an extremely broad class of functions. L. investigated the possibility of analytic functions of image. He owns the work on the theory of dimension, . proof of the existence of the functions of all classes of the classification Bera, . important results of geometrical and topological nature, . research on the theory of functions, . sets and the theory of differentiation, and many,
. dp. In the theory of functions and functional analysis are widely known concepts such as Lebesgue measure, Lebesgue integral, Lebesgue-Stieltjes integral, Lebesgue sets, etc..
A great deal of attention. given to the teaching of mathematics in secondary school. In 1931 - 1935 he published in the Swiss Journal of Mathematical Education, several articles of pedagogical direction.