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 Charles Sturm.

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

Nationality
French.

History

 * Born: 24 March 1809
 * Died: 8 September 1882

Theorems and Definitions

 * Liouville Number
 * 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)