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Camille Jordan

French mathematician (1838–1922)

Summary

French mathematician (1838–1922)

Field	Value
name	Camille Jordan
image	Camille Jordan 4.jpg
birth_date
birth_place	Lyon
death_date
death_place	Paris
fields	Mathematics
alma_mater	École polytechnique
academic_advisors	Victor Puiseux and Joseph Alfred Serret
known_for	Jordan curve theorem
Jordan decomposition
Jordan normal form
Jordan matrix
Jordan measure
Jordan totient function
Jordan's inequality
Jordan's lemma
Jordan's theorem (symmetric group)
Jordan–Chevalley decomposition
Jordan–Hölder theorem
Jordan–Pólya numbers
Jordan–Schur theorem
Jordan–Schönflies theorem
Bounded variation
Homotopy group
k-edge-connected graph
Total variation

Jordan decomposition Jordan normal form Jordan matrix Jordan measure Jordan totient function Jordan's inequality Jordan's lemma Jordan's theorem (symmetric group) Jordan–Chevalley decomposition Jordan–Hölder theorem Jordan–Pólya numbers Jordan–Schur theorem Jordan–Schönflies theorem Bounded variation Homotopy group k-edge-connected graph Total variation Marie Ennemond Camille Jordan (; 5 January 1838 – 22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his textbook Cours d'analyse de l'École polytechnique.

Biography

Jordan was born in Lyon and educated at the École polytechnique. He was an engineer by profession; later in life he taught at the École polytechnique and the Collège de France, where he had a reputation for eccentric choices of notation.

He is remembered now by name in a number of results:

The Jordan curve theorem, a topological result required in complex analysis
The Jordan normal form and the Jordan matrix in linear algebra
In mathematical analysis, Jordan measure (or Jordan content) is an area measure that predates measure theory
In group theory, the Jordan–Hölder theorem on composition series is a basic result.
Jordan's theorem on finite linear groups

Jordan's work did much to bring Galois theory into the mainstream. He also investigated the Mathieu groups, the first examples of sporadic groups. His Traité des substitutions, on permutation groups, was published in 1870; this treatise won for Jordan the 1870 prix Poncelet. He was an Invited Speaker of the ICM in 1920 in Strasbourg.

The asteroid 25593 Camillejordan and are named in his honour.

Camille Jordan is not to be confused with the geodesist Wilhelm Jordan (Gauss–Jordan elimination) or the physicist Pascual Jordan (Jordan algebras).

Bibliography

Cours d'analyse de l'Ecole Polytechnique; 1 Calcul différentiel (Gauthier-Villars, 1882)
Cours d'analyse de l'Ecole Polytechnique; 2 Calcul intégral (Gauthier-Villars, 1883)
Cours d'analyse de l'Ecole Polytechnique; 3 Équations différentielles (Gauthier-Villars, 1887)
Mémoire sur le nombre des valeurs des fonctions (1861–1869)
Recherches sur les polyèdres (Gauthier-Villars, 1866)
The collected works of Camille Jordan were published 1961–1964 in four volumes at Gauthier-Villars, Paris.

References

(1872). "Comptes rendus hebdomadaires des séances de l'Académie des sciences". Gauthier-Villars.
Jordan, Camille. (1921). "Compte rendu du Congrès international des mathématiciens tenu à Strasbourg du 22 au 30 Septembre 1920". University of Toronto Press.

Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

1838-births 1922-deaths école-polytechnique-alumni mines-paris---psl-alumni corps-des-mines scientists-from-lyon 19th-century-french-mathematicians group-theorists linear-algebraists academic-staff-of-the-collège-de-france corresponding-members-of-the-saint-petersburg-academy-of-sciences members-of-the-french-academy-of-sciences foreign-members-of-the-royal-society foreign-associates-of-the-national-academy-of-sciences members-of-the-ligue-de-la-patrie-française french-textbook-writers french-fellows-of-the-royal-society

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