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Maurice Janet

Maurice Janet
Maurice Janet, Zürich 1932
Born
Maurice Léopold René Janet

(1888-10-24)24 October 1888
Grenoble, France
Died17 January 1983(1983-01-17) (aged 94)
Known forJanet basis
Riquier–Janet theory
Scientific career
FieldsDifferential equations

Maurice Janet (1888–1983) was a French mathematician.

Education and career

In 1912, as a student he visited the University of Göttingen.[1] He was a professor at the University of Caen. He was an Invited Speaker of the International Congress of Mathematicians in 1924 in Toronto, in 1932 in Zürich, and in 1936 in Oslo.

Named in his honor are Janet bases, Janet sequences[2][3] and a related algorithm in the theory of systems of partial differential equations.[4] In 1926, he proved results that were later generalized by John Forbes Nash Jr. in his embedding theorem.

In 1948, Janet was the president of the Société Mathématique de France. He was a close friend of the mathematician Ernest Vessiot.

Selected publications

Articles

  • Les systèmes d'équations aux dérivées partielles, Journal de mathématiques pures et appliquées 8 ser., t. 3 (1920), pages 65–123. (paper in which what is now called the Janet basis was introduced)
  • Janet, Maurice (1924). "Les modules de formes algébriques et la théorie générale des systèmes différentiels" (PDF). Annales Scientifiques de l'École Normale Supérieure. series 3. 41: 27–65. doi:10.24033/asens.754.
  • "Sur la possibilité de plonger un espace riemannien donné dans un espace euclidien" (PDF). Annales de la Société Polonaise de Mathématique. 5. 1926.
  • "Les systèmes d'équations aux dérivées partielles" (PDF). Mémorial des Sciences Mathématiques. 21: 1–55. 1927.
  • Janet, Maurice (1929). "Les systèmes comprenant autant d'équations aux dérivées partielles que de fonctions inconnues. Caractéristiques singulières des systèmes normaux. Caractéristiques ordinaires des systèmes anormaux". Journal de Mathématiques Pures et Appliquées. 8: 339–352.

Books

References

  1. ^ Laurent Mazliak (ed.), Le voyage de Maurice Janet à Göttingen. Carnet de voyage (automne 1912), Les Éditions Materiologiques 2013
  2. ^ The mathematical foundations of general relavity revisited by Jean-François Pommaret, 2013
  3. ^ A pedestrian approach to Cosserat/Maxwell/Weyl theory by Jean-François Pommaret, 2012
  4. ^ Robertz, Daniel (2014). Formal algorithmic elimination for PDEs. Lecture Notes in Mathematics. Vol. 2121. Springer. p. 7. doi:10.1007/978-3-319-11445-3. ISBN 978-3-319-11444-6.
  5. ^ Tamarkin, J. (1931). "Review : Leçons sur les systèmes d'équations aux dérivées partielles by Maurice Janet". Bulletin of the American Mathematical Society. 37 (9): 653–654. doi:10.1090/s0002-9904-1931-05210-1.
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