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Jean Gaston Darboux

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Jean-Gaston Darboux
Jean-Gaston Darboux
Born(1842-08-14)14 August 1842
Nîmes, France
Died23 February 1917(1917-02-23) (aged 74)
Paris, France
AwardsSylvester Medal (1916)
Scientific career
ThesisSur les surfaces orthogonales (1866)
Doctoral advisorMichel Chasles
Doctoral studentsÉmile Borel
Élie Cartan
Édouard Goursat
Charles Émile Picard
Thomas Stieltjes
Gheorghe Tzitzeica
Stanisław Zaremba

Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician.[1]

Life

He was born in Nimes in France on 13 August 1842. He studied at the Nimes Lycee and the Montpellier Lycee before being accepted at the Sorbonne.[2]

Darboux made several important contributions to geometry and mathematical analysis (see, for example, linear PDEs). He was a biographer of Henri Poincaré and he edited the Selected Works of Joseph Fourier.

Darboux received his Ph.D. from the École Normale Supérieure in 1866. His thesis, written under the direction of Michel Chasles, was titled Sur les surfaces orthogonales. In 1884, Darboux was elected to the Académie des Sciences. In 1900, he was appointed the Academy's permanent secretary of its Mathematics section.

Among his students were Émile Borel, Élie Cartan, Gheorghe Țițeica and Stanisław Zaremba.

Darboux's contribution to the differential geometry of surfaces appears in the four-volume collection of studies he published between 1887 and 1896; see links below for access to these texts.

In 1902, he was elected to the Royal Society; in 1916, he received the Sylvester Medal from the Society.

He was a plenary speaker in the International Congress of Mathematicians 1908, Rome.[3]

There are many things named after him:

Books

1887–96. Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal. Gauthier-Villars:

1898. Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. Tome I. Gauthier-Villars.[13]

See also

Notes

  1. ^ Eisenhart, L. P. (1918). "Darboux's contribution to geometry". Bull. Amer. Math. Soc. 24 (5): 227–237. doi:10.1090/s0002-9904-1918-03052-8. MR 1560051.
  2. ^ https://www.royalsoced.org.uk/cms/files/fellows/biographical_index/fells_indexp1.pdf
  3. ^ "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians.
  4. ^ Darboux Cubic -- from Wolfram MathWorld at mathworld.wolfram.com
  5. ^ Darboux Problem -- from Wolfram MathWorld at mathworld.wolfram.com
  6. ^ Goursat Problem -- from Wolfram MathWorld at mathworld.wolfram.com
  7. ^ Darboux Vector -- from Wolfram MathWorld at mathworld.wolfram.com
  8. ^ Darboux's Formula -- from Wolfram MathWorld at mathworld.wolfram.com
  9. ^ Christoffel-Darboux Identity -- from Wolfram MathWorld at mathworld.wolfram.com
  10. ^ Christoffel-Darboux Formula -- from Wolfram MathWorld at mathworld.wolfram.com
  11. ^ Euler-Darboux Equation -- from Wolfram MathWorld at mathworld.wolfram.com
  12. ^ Euler-Poisson-Darboux Equation -- from Wolfram MathWorld at mathworld.wolfram.com
  13. ^ Lovett, E. O. (1899). "Review: Leçons sur les Systèmes Orthogonaux et les Coordonnées Curvilignes, Tome I, by Gaston Darboux". Bull. Amer. Math Soc. 5 (4): 185–202. doi:10.1090/s0002-9904-1899-00584-6.

References

  • "Darboux, Jean-Gaston". Biographical Dictionary of Mathematicians. Charles Scribner's Sons. 1991.
  • Lebon, Ernest (1910). Gaston Darboux. Gauthier-Villars.
  • Fourier, Joseph (1888–1890). Œuvres de Fourier. Paris: Gauthier-Villars. ISBN 2-05-100578-8.
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