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Jean Gaston Darboux
Jean-Gaston Darboux (14 August 1842 – 23 February 1917) was a French mathematician.
==Life==
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.〔(【引用サイトリンク】url=http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php )〕
There are many things named after him:
* Darboux equation
* Darboux frame
* Darboux integral
* Darboux net invariants
* Darboux problem
* Darboux's theorem in symplectic geometry
* Darboux's theorem in real analysis, related to Intermediate value theorem
* Christoffel–Darboux identity〔(Christoffel-Darboux Identity -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Christoffel–Darboux formula〔(Christoffel-Darboux Formula -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Darboux's formula〔(Darboux's Formula -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Darboux vector〔(Darboux Vector -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Euler–Darboux equation〔(Euler-Darboux Equation -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Euler–Poisson–Darboux equation〔(Euler-Poisson-Darboux Equation -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Darboux cubic〔(Darboux Cubic -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Darboux〔(Darboux Problem -- from Wolfram MathWorld ) at mathworld.wolfram.com〕 or Goursat problem〔(Goursat Problem -- from Wolfram MathWorld ) at mathworld.wolfram.com〕
* Darboux transformation.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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