Maurice Rene Fréchet

Maurice Rene Fréchet , born with Maligny the September 2nd 1878 and died in Paris the June 4th 1973, is a Mathématicien French. Prolific mathematician, it worked inter alia in Topologie, Probabilités and Statistique.

Biography

Fréchet is pupil with the National university, then he teaches of 1909 to 1927 at the universities of Poitiers and Strasbourg (with a four years interruption during the war where he is mobilized, in particular as translator near the British command), and of 1928 to 1949 at the university of Paris. Its work in analyzes functional, started at the time of its thesis under the direction of Jacques Hadamard, push it to seek a framework more general than the Euclidean metric .

In the field of the calculation of the Probabilities, Fréchet studied the law of probability followed by the maximum value of a sample of independent variables of the same law. The resolution of a functional equation enabled him to identify the law of probability which bears its name.

It introduces into 1906 the metric spaces and releases the first concepts of Topologie while seeking to formalize in abstract terms work of Volterra, Arzela, Hadamard and Cantor. It introduces the concepts of filter, of uniform Convergence, of Convergence compacts and of equicontinuity.

He is elected member of the Academy of Science (Poland) in 1929, the royal Société of Edimbourgh in 1947 and the Academy of Science (France) in 1956.

Students

Wolfgang Doeblin

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