14.8.1842 Nîmes/F - 23.2.1917 Paris/F
Jean-Gaston Darboux entered Ecole Polytechnique in 1862 and then Ecole Normale Supérieure, where his talents in mathematics were discovered. He was appointed Lecturer at Ecole Normale Supérieure in 1872 and collaborated with the famous French mathematicians Liouville and Chasles in the chair of higher geometry. In 1880, Darboux succeeded the latter in the chair of rational mechanics at Sorbonne, Paris, holding this chair until his death. Darboux was the dean of the Faculty of Sciences from 1889 to 1903.
Darboux's work is mainly in differential geometry. The Darboux integrals were introduced in the 1870 paper on differential equations of the second order. Between 1887 and 1896 he produced four volumes on infinitesimal geometry including a discussion of one surface rolling on another surface. He studied also the geometrical configuration generated by points and lines which are fixed on the rolling surface. Darboux's contributions to fluid mechanics are in the fundamental descriptions of three-dimensional fluid flows involving complicated geometries. He also significantly added to the history of hydraulics with a large commemorative work on Joseph Fourier (1768-1830). In 1912 he presented an historical outline on famous colleagues at Institut de France. He is still considered an outstanding scientist in analytical geometry. He received more than 100 elections to academic societies, among which the most prestigious are Académie des Sciences, Paris, in 1884 where he acted also as the Secretary from 1900, and the Royal Society in 1902. He was also awarded the Sylvester Medal from the Royal Society in 1916.
Anonymous (1900). Jean-Gaston Darboux, Revue Universelle: 896. P Darboux, G. (1888). Œuvres de Fourier. Gauthier-Villars: Paris. Darboux, G. (1912). Eloges académiques et discours. Hermann: Paris.
Darboux, G. (1914). Leçons sur la théorie générale des surface et les applications géométriques du calcul infinitésimal. Gauthier-Villars: Paris.
Lebon, E. (1917). Gaston Darboux. Bulletin Société Philomatique Série 10 9: 1-20.
Nordmann, C. (1913). M. Darboux, secrétaire perpétuel de l'Académie des Sciences, président de la conférence internationale de l'Heure. L'Illustration 142(3685): 328-329. P
Poggendorff, J.C. (1898). Darboux, Jean Gaston. Biographisch-Literarisches Handwörterbuch
3: 326-327; 4: 296; 5: 261; 6: 518. Barth: Leipzig, with bibliography.
Struick, D.J. (1981). Darboux, Jean-Gaston. Dictionary of scientific biography 3: 559-560, C.C. Gillispie, ed. Scribner's Sons: New York.

Hydraulicians in Europe 1800-2000 . 2013.

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  • Darboux —   [dar bu], Jean Gaston, französischer Mathematiker, * Nîmes 14. 8. 1842, ✝ Paris 23. 2. 1917; war seit 1880 Professor an der Sorbonne in Paris; seit 1884 Mitglied, seit 1900 ständiger Sekretär der Académie des sciences. Darboux lieferte wichtige …   Universal-Lexikon

  • Darboux — (spr. bū), Jean Gaston, Mathematiker, geb. 14. Aug. 1842 in Nimes, besuchte seit 1861 die Pariser Normalschule, wurde 1873 Maître de conferences an dieser Anstalt und Professeur suppléant an der Sorbonne, 1881 Professor der höhern Geometrie… …   Meyers Großes Konversations-Lexikon

  • Darboux — Darboux, Jean Gaston …   Enciclopedia Universal

  • Darboux — Jean Gaston Darboux Jean Gaston Darboux (* 14. August 1842 in Nîmes/Languedoc; † 23. Februar 1917 in Paris) war ein französischer Mathematiker. Inhaltsverzeichnis 1 …   Deutsch Wikipedia

  • Darboux's theorem (analysis) — Darboux s theorem is a theorem in real analysis, named after Jean Gaston Darboux. It states that all functions that result from the differentiation of other functions have the intermediate value property: the image of an interval is also an… …   Wikipedia

  • DARBOUX (G.) — DARBOUX GASTON (1842 1917) Mathématicien français, né à Nîmes et mort à Paris. Après des études à l’École normale supérieure, Darboux fut l’assistant de J. Bertrand à la chaire de physique mathématique au Collège de France (1866 1867), puis… …   Encyclopédie Universelle

  • Darboux Island — (65°25′S 64°15′W / 65.417°S 64.25°W / 65.417; 64.25) is an island 1 nautical mile (1.9 km) long rising to 270 m, lying 3 nautical miles (6 km) west of Cape Perez off the west c …   Wikipedia

  • Darboux frame — In the differential geometry of surfaces, a Darboux frame is a natural moving frame constructed on a surface. It is the analog of the Frenet–Serret frame as applied to surface geometry. A Darboux frame exists at any non umbilic point of a surface …   Wikipedia

  • Darboux integral — In real analysis, a branch of mathematics, the Darboux integral or Darboux sum is one possible definition of the integral of a function. Darboux integrals are equivalent to Riemann integrals, meaning that a function is Darboux integrable if and… …   Wikipedia

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