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Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician.<ref>Template:Cite journal</ref>
LifeEdit
According to his birth certificate,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> he was born in Nîmes in France on 14 August 1842, at 1 am. However, probably due to the midnight birth, Darboux himself usually reported his own birthday as 13 August, e.g. in his filled form for Légion d'Honneur.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>
His parents were François Darboux, businessman of mercery, and Alix Gourdoux. The father died when Gaston was 7. His mother undertook the mercery business with great courage, and insisted that her children receive good education. Gaston had a younger brother, Louis, who taught mathematics at the Lycée Nîmes for almost his entire life.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>
He studied at the Nîmes Lycée and the Montpellier Lycée before being accepted as the top qualifier at the École normale supérieure in 1861,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> and received his PhD there in 1866. His thesis, written under the direction of Michel Chasles, was titled Sur les surfaces orthogonales. During his studies at the ENS, he also took lectures in Sorbonne University and Collège de France.
In 1870, he co-founded the journal Bulletin des sciences mathématiques et astronomiques,<ref>https://www.journals.elsevier.com/bulletin-des-sciences-mathematiques/</ref> called "Darboux's Journal" by his contemporary mathematicians. The publishing house was the Henry Gauthier-Villars et Cie Éditeurs, located in Paris.<ref name="archive.org">Template:Cite book</ref>
In 1872, Darboux married the Beauvaisian milliner Amélie Célina Carbonnier (1848-1911), daughter of Charles Louis Carbonnier, tailor, and Marie Victorine Anastase Hènocq. He and Célina had two children, Jean-Gaston (1870-1921), who was born at the time of the Siege of Paris and later became a marine zoologist at the Faculty of Science in Marseille, and Anaïs Berthe Lucie (1873-1970).<ref>Roland Brasseur – Dictionnaire des professeurs de mathématiques en classe de mathématiques spéciales – 7 mai 2015 https://pdfkul.com/darboux-rb-dico-prof-spes-20150507pdf_59d309be1723dde389357150.html</ref>
He participated in the foundation of the École normale supérieure de jeunes filles in 1880, an institute that aimed at training female educators and ran parallel to the École normale supérieure on rue d'Ulm. Its first director was Julie Favre.<ref>Biographie de Gaston Darboux by Marianne Durand at Lycée Professionnel Gaston Darboux https://www.lyc-darboux-nimes.ac-montpellier.fr/l-etablissement-en-pratique/biographie-de-gaston-darboux Template:Webarchive</ref>
In 1884, Darboux was elected to the Académie des Sciences.
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.
Among his students were Émile Borel, Élie Cartan, Édouard Goursat, Émile Picard, Gheorghe Țițeica and Stanisław Zaremba.
In 1900, he was appointed the Academy's permanent secretary of its Mathematics section.
In 1902, he was elected to the Royal Society and the American Philosophical Society;<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> in 1916, he received the Sylvester Medal from the Society. In 1908, he was a plenary speaker at the International Congress of Mathematicians in Rome.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> He continued to contribute to the French Bulletin des sciences mathématiques, even after 1916.<ref name="archive.org" />
Named in his honourEdit
There are many things named after him: Template:Div col
- Darboux basis
- Darboux chart
- Darboux cyclide
- Darboux cubic<ref>Darboux Cubic -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Darboux derivative
- Darboux equation
- Darboux frame
- Darboux integral
- Darboux net invariants
- Darboux<ref>Darboux Problem -- from Wolfram MathWorld at mathworld.wolfram.com</ref> or Goursat problem<ref>Goursat Problem -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Darboux transformation
- Darboux vector<ref>Darboux Vector -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Darboux's problem
- Darboux's theorem in symplectic geometry
- Darboux's theorem in real analysis, related to the intermediate value theorem
- Darboux's formula<ref>Darboux's Formula -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Christoffel–Darboux identity<ref>Christoffel-Darboux Identity -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Christoffel–Darboux formula<ref>Christoffel-Darboux Formula -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Euler–Darboux equation<ref>Euler-Darboux Equation -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Darboux–Froda's theorem
- Euler–Poisson–Darboux equation<ref>Euler-Poisson-Darboux Equation -- from Wolfram MathWorld at mathworld.wolfram.com</ref>
- Laplace–Darboux transformations
See alsoEdit
NotesEdit
ReferencesEdit
External linksEdit
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