Joseph Liouville (born March 24, 1809, died September 8, 1882) was a French mathematician. March 24 is the 83rd day of the year in the Gregorian Calendar (84th in Leap years). ... 1809 was a common year starting on Sunday (see link for calendar). ... September 8 is the 251st day of the year (252nd in leap years). ... 1882 (MDCCCLXXXII) was a common year starting on Sunday (see link for calendar). ... This article is in need of attention from an expert on the subject. ...

Joseph Liouville

Liouville graduated from the École Polytechnique in 1827. After some years as assistant at various institutions he was appointed as professor at the École Polytechnique in 1838. He obtained a chair in mathematics at the Collège de France in 1850 and a chair in mechanics at the Faculté des Sciences in 1857. Image File history File links Liouville. ... Image File history File links Liouville. ... For other Écoles Polytechniques, see École Polytechnique de Montréal and École Polytechnique Fédérale de Lausanne. ... Courtyard of the Collège de France. ...

Besides his academic achievements, he was very talented in organisatorial matters. Liouville founded the Journal de Mathématiques Pures et Appliquées which retains its high reputation up to today, in order to promote other mathematicians' work. He was the first to read, and to recognize the importance of, the unpublished work of Evariste Galois which appeared in his journal in 1846. Liouville was also involved in politics for some time, and he became member of the Constituting Assembly in 1848. However, after the defeat in the Assembly elections in 1849, he turned away from politics. Galois at the age of fifteen from the pencil of a classmate. ... The National Assembly is the name of either a legislature, or the lower house of a bicameral legislature in some countries. ...

Liouville worked in a number of different fields in mathematics, including number theory, complex analysis, differential geometry and topology, but also mathematical physics and even astronomy. He is remembered particularly for Liouville's theorem, a nowadays rather basic result in complex analysis. In number theory, he was the first to prove the existence of transcendental numbers by a construction using continued fractions (Liouville numbers). In mathematical physics, the Sturm-Liouville theory which was joint work with Charles François Sturm is now a standard procedure to solve certain types of integral equations. Moreover, there is a second "Liouville's theorem" in Hamiltonian dynamics. This article needs to be cleaned up to conform to a higher standard of quality. ... Complex analysis is the branch of mathematics investigating functions of complex numbers. ... This article may be too technical for most readers to understand. ... Mathematical physics is the scientific discipline concerned with the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories1. ... Astrology: the study of the positions of the celestial objects relative to the Earth and how these positions affect happenings on the lives of cultures, nations and the natural environment. ... Liouvilles theorem in complex analysis states that every bounded (i. ... In mathematics, a transcendental number is any real number that is not algebraic, that is, not the solution of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. ... In mathematics, a continued fraction is an expression such as where a0 is some integer and all the other numbers an are positive integers. ... In number theory, a Liouville number is a real number x with the property that, for any positive integer n, there exist integers p and q with q > 1 and such that 0 < |x − p/q| < 1/qn. ... In mathematics and its applications, a classical Sturm-Liouville equation, named after Jacques Charles François Sturm (1803-1855) and Joseph Liouville (1809-1882), is a real second-order linear differential equation of the form where the functions p(x), q(x), and w(x) are specified at the outset... Jacques Charles François Sturm (September 29, 1803 - December 15, 1855), French mathematician, of German extraction, was born in Geneva. ... In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign. ... In mathematical physics, Liouvilles theorem, named after the French mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics. ...

External links

• John J. O'Connor and Edmund F. Robertson. Joseph Liouville at the MacTutor archive.