Maurice Janet
{{Short description|French mathematician}}
{{Infobox scientist
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|image = JanetMaurice Zurich1932.tif
|caption = Maurice Janet, Zürich 1932
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|birth_name = Maurice Léopold René Janet
|birth_date = {{Birth date|df=y|1888|10|24}}
|death_date = {{nowr|{{Dath date and age|df=y|1983|1|17|1888|10|24}}}}
|birth_place = Grenoble, France
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|known_for = Janet basis
Riquier–Janet theory
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Maurice Janet (1888–1983) was a French mathematician.
Education and career
In 1912, as a student he visited the University of Göttingen.Laurent Mazliak (ed.), Le voyage de Maurice Janet à Göttingen. Carnet de voyage (automne 1912), Les Éditions Materiologiques 2013 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[https://arxiv.org/abs/1306.2818 The mathematical foundations of general relavity revisited by Jean-François Pommaret, 2013][https://arxiv.org/abs/1210.2675 A pedestrian approach to Cosserat/Maxwell/Weyl theory by Jean-François Pommaret, 2012] and a related algorithm in the theory of systems of partial differential equations.{{cite book|author=Robertz, Daniel|title=Formal Algorithmic Elimination for PDEs|volume=2121|publisher=Springer|year=2014|page=7|doi=10.1007/978-3-319-11445-3|series=Lecture Notes in Mathematics|isbn=978-3-319-11444-6}} 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=
- [https://babel.hathitrust.org/cgi/pt?id=njp.32101080166299;view=1up;seq=75 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)
- {{cite journal|year=1924|title=Les modules de formes algébriques et la théorie générale des systèmes différentiels|journal=Annales Scientifiques de l'École Normale Supérieure|series=series 3|volume= 41|pages=27–65|doi=10.24033/asens.754 |url=http://archive.numdam.org/ARCHIVE/ASENS/ASENS_1924_3_41_/ASENS_1924_3_41__27_0/ASENS_1924_3_41__27_0.pdf|last1=Janet |first1=Maurice }}
- {{cite journal|year=1926|title=Sur la possibilité de plonger un espace riemannien donné dans un espace euclidien|journal=Annales de la Société Polonaise de Mathématique |volume=5 |url=http://rcin.org.pl/Content/15034/WA35_31746_cz159-r1926-T5_Annales-art-4.pdf}}
- {{cite journal|year=1927|title=Les systèmes d'équations aux dérivées partielles.|journal=Mémorial des Sciences Mathématiques|volume=21|pages=1–55|url=http://archive.numdam.org/ARCHIVE/MSM/MSM_1927__21_/MSM_1927__21__1_0/MSM_1927__21__1_0.pdf}}
- {{cite journal|year=1929|title=Les systèmes comprenant autant d'équations aux dérivées partielles que de fonctions inconnues. Caractéristiques singulières des systèmes normaux. Caractéristiques ordinaires des systèmes anormaux|journal=Journal de Mathématiques Pures et Appliquées|volume=8 |pages=339–352|url=http://eudml.org/doc/234285|last1=Janet |first1=Maurice }}
=Books=
- {{cite book|title=Leçons sur les systèmes d'équations aux dérivées partielles|year=1929}}{{cite journal|author=Tamarkin, J.|author-link=Jacob Tamarkin|title=Review : Leçons sur les systèmes d'équations aux dérivées partielles by Maurice Janet|journal=Bulletin of the American Mathematical Society|year=1931|volume=37|issue=9|pages=653–654|url=https://www.ams.org/journals/bull/1931-37-09/S0002-9904-1931-05210-1/|doi=10.1090/s0002-9904-1931-05210-1|doi-access=free}}
- {{cite book|title=Équations intégrales et applications à certains problèmes de la physique mathématique|year=1941|url=http://eudml.org/doc/192620|last1=Janet |first1=Maurice }}
- {{cite book|title=Précis de calcul matriciel et de calcul opérationnel|year=1954}}
- {{cite book|title=Compléments divers sur la transformation de Laplace et les équations aux dérivés partielles|year=1955}}
- {{cite book|title=Mécanique analytique et mécanique céleste. Sujets proposés aux examens écrits de 1954 à 1959|year=1966}}
References
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External links
- [http://data.bnf.fr/12570165/maurice_janet/ BNF]
{{Authority control}}
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Category:20th-century French mathematicians