Jacques Hadamard


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Hadamard, Jacques

 

Born Dec. 8, 1865, in Versailles; died Oct. 17, 1963, in Paris. French mathematician. Professor at the Collège de France, 1897–1935, Université de Paris (the Sorbonne), 1900–1912, Ecole Polytechnique from 1912; foreign member of the USSR Academy of Sciences from 1929.

Hadamard is known for his research in various branches of mathematics. In the theory of numbers he demonstrated, in 1896, P. L. Chebyshev’s proposed asymptotic law of the distribution of prime numbers. He originated a significant part of the modern theory of entire analytic functions and obtained substantial results in the theory of differential equations. His ideas were highly influential in the founding of functional analysis. In mechanics Hadamard’s concerns included problems of stability and the study of the properties of mechanical system trajectories close to the equilibrium position. He was also interested in school teaching and prepared a geometry textbook (in Russian translation, Elementarnaia Geometryiia, part 1, Moscow, 1948; part 2, 1938).

WORKS

Lectures on Cauchy’s Problem. New York, 1923.
Cours d’analyse,vols. 1–2. Paris, 1927–30.
Selecta: Jubilé scientifique. Paris, 1935.

REFERENCE

Lévy, P. “Zhak Adamar.” Uspekhi matematicheskikh nauk, 1964, vol. 19, no. 3 (117), pages 163–82. (Includes a list of Hadamard’s works.)
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Dicho teorema, demostrado independientemente por Jacques Hadamard y Charles Jean de la Vallee-Poussin en 1896, dice que la distancia promedio entre dos primos consecutivos menores que n es ln (n).
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The first of two volumes French mathematician Jacques Hadamard wrote for teachers of high school geometry was published in English translation in 2008 as Lessons in Geometry I.
por Jacques Hadamard sobre los metodos de trabajo de los matematicos conduce a la conclusion sorprendente de que, salvo dos excepciones, los matematicos consultados no pensaban ni en palabras ni en signos algebraicos.