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Camille Jordan

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Camille Jordan
Born(1838-01-05)5 January 1838
Died22 January 1922(1922-01-22) (aged 84)
Alma materÉcole polytechnique
Known forJordan 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
Scientific career
Academic advisorsVictor Puiseux and Joseph Alfred Serret

Marie Ennemond Camille Jordan (French: [ʒɔʁdɑ̃]; 5 January 1838 – 22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his influential Cours d'analyse.


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:

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.[1] He was an Invited Speaker of the ICM in 1920 in Strasbourg.[2]

The asteroid 25593 Camillejordan and Institut Camille Jordan [fr] 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).


  • Cours d'analyse de l'Ecole Polytechnique; 1 Calcul différentiel (Gauthier-Villars, 1909)
  • Cours d'analyse de l'Ecole Polytechnique; 2 Calcul intégral (Gauthier-Villars, 1909)
  • Cours d'analyse de l'Ecole Polytechnique; 3 équations différentielles (Gauthier-Villars, 1909)
  • Mémoire sur le nombre des valeurs des fonctions (1861–1869)
  • Recherches sur les polyèdres (Gauthier-Villars, 1866)
  • Jordan, Camille (1881). "Sur la série de Fourier" [On the Fourier series]. Comptes rendus hebdomadaires des séances de l'Académie des Sciences. 92. Paris: Gauthier-Villars, Académie des Sciences: 228–230.
  • Jordan, Camille (1870), Traité des substitutions et des équations algébriques, Paris: Gauthier-Villars
  • The collected works of Camille Jordan were published 1961–1964 in four volumes at Gauthier-Villars, Paris.

See also[edit]


  1. ^ "Prix". Comptes rendus hebdomadaires des séances de l'Académie des sciences. Vol. Tome 75, Juillet à Décembre 1872. Paris: Gauthier-Villars. 1872. p. 1302.
  2. ^ "Sur la classification des constellations par Camille Jordan". Compte rendu du Congrès international des mathématiciens tenu à Strasbourg du 22 au 30 Septembre 1920. ICM proceedings. University of Toronto Press. 1921. pp. 410–436.

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