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Marie-Ennemond Camille Jordan

French mathematician (1838–1922)

Born at Lyons, Jordan studied in Paris at the Ecole Polytechnique, where he trained as an engineer. Later he taught at both the Ecole Polytechnique and the Collège de France until his retirement in 1912. His interests lay chiefly in pure mathematics, although he made contributions to a wide range of mathematical subjects.

Jordan's most important and enduring work was in group theory and analysis. He was especially interested in groups of permutations and grasped the intimate connection of this subject with questions about the solvability of polynomial equations. This basic insight was one of the fundamental achievements of the seminal work of Evariste Galois, and Jordan was the first mathematician to draw attention to Galois's work, which had until then been almost entirely ignored. Jordan played a major role in starting the systematic investigation of the areas of research opened up by Galois. He also introduced the idea of an infinite group.

Jordan also passed on his interest in group theory to two of his most outstanding pupils, Felix Klein and Sophus Lie, both of whom were to develop the subject in novel and important ways.

 
 
Columbia Encyclopedia: Jordan, Camille
(kämē'yə zhôrdäN') , 1771–1821, French writer and political figure. A moderate supporter of the French Revolution, he fled France during the Reign of Terror and again after the coup of Sept. 4, 1797. He befriended Johann von Goethe, J. C. F. von Schiller, and Johann von Herder. Returning to France after Napoleon Bonaparte (later Emperor Napoleon I) came to power, he wrote (1802) the widely read pamphlet, Vrai sens du vote national [the true meaning of the national vote], directed against Napoleon. After the Bourbon restoration Jordan was elected (1816) to the chamber of deputies.
 
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Marie Ennemond Camille Jordan (January 5 1838January 22 1922) was a French mathematician, known both for his foundational work in group theory and for his influential Cours d'analyse. He 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 foundational 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.

The asteroid 25593 Camillejordan and Institute of Camille Jordan 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).

See also

  • Jordan totient function

Books by C. Jordan

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Scientist. A Dictionary of Scientists. Copyright © Market House Books Ltd 1993, 1999, 2003. All rights reserved.  Read more
Columbia Encyclopedia. The Columbia Electronic Encyclopedia, Sixth Edition Copyright © 2003, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/  Read more
Wikipedia. This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Camille Jordan" Read more

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