Maurice Janet
Jump to navigation
Jump to search
Maurice Janet | |
---|---|
Born | Maurice Léopold René Janet 24 October 1888 |
Died | 17 January 1983 (aged 94) |
Known for | Janet basis Riquier–Janet theory |
Scientific career | |
Fields | Differential 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
- Leçons sur les systèmes d'équations aux dérivées partielles. 1929.[5]
- Janet, Maurice (1941). Équations intégrales et applications à certains problèmes de la physique mathématique.
- Précis de calcul matriciel et de calcul opérationnel. 1954.
- Compléments divers sur la transformation de Laplace et les équations aux dérivés partielles. 1955.
- Mécanique analytique et mécanique céleste. Sujets proposés aux examens écrits de 1954 à 1959. 1966.
References
- ^ Laurent Mazliak (ed.), Le voyage de Maurice Janet à Göttingen. Carnet de voyage (automne 1912), Les Éditions Materiologiques 2013
- ^ The mathematical foundations of general relavity revisited by Jean-François Pommaret, 2013
- ^ A pedestrian approach to Cosserat/Maxwell/Weyl theory by Jean-François Pommaret, 2012
- ^ 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.
- ^ 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.
External links
Categories:
- Articles with short description
- Short description is different from Wikidata
- Articles with hCards
- Articles with ISNI identifiers
- Articles with VIAF identifiers
- Articles with WorldCat Entities identifiers
- Articles with BNF identifiers
- Articles with BNFdata identifiers
- Articles with GND identifiers
- Articles with J9U identifiers
- Articles with LCCN identifiers
- Articles with NKC identifiers
- Articles with NTA identifiers
- Articles with PLWABN identifiers
- Articles with MATHSN identifiers
- Articles with MGP identifiers
- Articles with ZBMATH identifiers
- Articles with DTBIO identifiers
- Articles with SUDOC identifiers
- 20th-century French mathematicians
- 1888 births
- 1983 deaths
- Academic staff of the University of Caen Normandy
- PDE theorists