Liouville, Joseph

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Liouville, Joseph

 

Born Mar. 24, 1809, in St. Orner; died Sept. 8, 1882, in Paris. French mathematician. Member of the Paris Academy of Sciences (1839).

Liouville was a professor at the Ecole Polytechnique (from 1833) and the Collège de France (from 1839). He constructed the theory of elliptic functions, which he viewed as doubly periodic functions of a complex variable. He also studied the boundary-value problem for second-order linear differential equations (the Sturm-Liouville problem). Liouville proved the existence of transcendental numbers and gave an actual construction of such numbers. He established a fundamental theorem in mechanics (Liouville’s theorem) on the integration of the canonical equations of dynamics.

REFERENCES

“Discours, prononcés aux funérailles de M. Liouville.” Comptes rendus hébdomadaires des séances de l’Académie des Sciences de Paris, 1882, vol. 95, pp. 467–71.
Synge, J. L. Classical Dynamics. Moscow, 1963. (Translated from English.)
The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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