Henri Lebesgue

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Lebesgue, Henri


Born June 28, 1875, in Beauvais, Oise Department; died July 26, 1941, in Paris. French mathematician. Member of the Paris Academy of Sciences (1922).

Lebesgue was appointed a professor at the University of Paris in 1910. He is one of the founders of the modern theory of functions of a real variable. His greatest contribution is the creation of the theory of measure and the concept of a measurable function, as well as the introduction of a new definition of the integral based on the theory of measure and permitting the integration of an extraordinarily wide class of functions. He applied his definition of the integral to Fourier series. His investigations of the possibility of the analytic representation of functions facilitated the creation of the descriptive theory of functions. Lebesgue also obtained important results in geometry and topology.


Leçons sur les séries trigonométriques. Paris, 1906.
Notice sur les travaux scientifiques. Toulouse, 1922.
In Russian translation:
Integrirovanie i otyskanie primitivnykh funktsit Moscow-Leningrad, 1934.
Ob izmerenii velichin, 2nd ed. Moscow, 1960.


Burkill, J. C. “Henri Lebesgue.” Journal of the London Mathematical Society, 1944, vol. 19.
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The study of such questions goes back to classical issues in topology, analysis and related fields of mathematics, raised by the great pioneers of abstract mathematics of the late 19th and early 20th century, such as Georg Cantor, Emile Borel, Henri Lebesgue and others.
The third set is a trio consisting of the French mathematicians Rene Baire, Emile Borel, and Henri Lebesgue, while the fourth set is a trio of Russian mathematicians consisting of Pavel Florensky, Fedor Egorov, and Nicholi Luzin.
Beginning with the 17th-century originators of calculus, Isaac Newton and Gottfried Wilhelm Leibniz, and continuing to Henri Lebesgue some 200 years later, the author considers the people who did the most to advance this branch of mathematics.