10 Facts About Joseph Liouville

Joseph Liouville was a French mathematician and engineer.

Joseph Liouville was born in Saint-Omer in France on 24 March 1809.

Joseph Liouville gained admission into the Ecole Polytechnique in 1825 and graduated in 1827.

Joseph Liouville obtained a chair in mathematics at the College de France in 1850 and a chair in mechanics at the Faculte des Sciences in 1857.

Joseph Liouville founded the Journal de Mathematiques Pures et Appliquees which retains its high reputation up to today, in order to promote other mathematicians' work.

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Joseph Liouville was the first to read, and to recognize the importance of, the unpublished work of Evariste Galois which appeared in his journal in 1846.

Joseph Liouville was involved in politics for some time, and he became a member of the Constituting Assembly in 1848.

Joseph Liouville worked in a number of different fields in mathematics, including number theory, complex analysis, differential geometry and topology, but mathematical physics and even astronomy.

In mathematical physics, Joseph Liouville made two fundamental contributions: the Sturm–Joseph Liouville theory, which was joint work with Charles Francois Sturm, and is a standard procedure to solve certain types of integral equations by developing into eigenfunctions, and the fact that time evolution is measure preserving for a Hamiltonian system.

In Hamiltonian dynamics, Joseph Liouville introduced the notion of action-angle variables as a description of completely integrable systems.