Mathematician:Joseph Liouville

Active in the fields of number theory, complex analysis, differential geometry, topology, mathematical physics and astronomy.

Proved the existence of transcendental numbers.

Contributed the Sturm-Liouville theory to the field of mathematical physics, in collaboration with.

Pioneered the study of fractional calculus.

There are several theorems named after him, all in different areas of mathematics and physics.

Nationality
French.

History

 * Born: 24 March 1809, Saint-Omer, France
 * Died: 8 September 1882, Paris, France

Theorems and Definitions

 * Liouville Number
 * Liouville's Constant
 * Liouville's Lemma, concerning diophantine approximations
 * Liouville's Theorem (Complex Analysis)
 * Liouville's Theorem (Conformal Mappings)
 * Liouville's Theorem (Hamiltonian Mechanics)
 * Liouville's Theorem (Number Theory), the fact that any Liouville number is transcendental
 * Liouville's Theorem (Differential Algebra)
 * Liouville-Roth Constant (with )
 * Liouville-Green Method of Approximations (with ), also known as the LG Method, or the WKB Method (after, and )

Books and Papers

 * 1836: Founded the mathematics journal Journal de Mathématiques Pures et Appliquées (also known as Journal de Liouville)
 * 1846: Published the works of.

Also see

 * : Chapter $\text {A}.29$