March 1809. His parents were Claude-JosephLiouville (an army officer) and Thérèse Liouville (née Balland). Liouville gained admission to the École Polytechnique...
than any algebraic irrational number can be. In 1844, JosephLiouville showed that all Liouville numbers are transcendental, thus establishing the existence...
The Liouville lambda function, denoted by λ(n) and named after JosephLiouville, is an important arithmetic function. Its value is +1 if n is the product...
introduced by JosephLiouville in a series of papers from 1833 to 1841. An algebraic treatment of elementary functions was started by Joseph Fels Ritt in...
we have the notion of integrability in the Liouville sense. (See the Liouville–Arnold theorem.) Liouville integrability means that there exists a regular...
is complete require Galois theory). Galois' work was published by JosephLiouville fourteen years after his death. The theory took longer to become popular...
transcendental. JosephLiouville first proved the existence of transcendental numbers in 1844, and in 1851 gave the first decimal examples such as the Liouville constant...
infinite sums. [example needed] Liouvillian functions were introduced by JosephLiouville in a series of papers from 1833 to 1841. All elementary functions are...
Francesco Carlini in 1817, JosephLiouville in 1837, George Green in 1837, Lord Rayleigh in 1912 and Richard Gans in 1915. Liouville and Green may be said...
the mathematical field of differential geometry a Liouville surface (named after JosephLiouville) is a type of surface which in local coordinates may...
meantime, JosephLiouville studied eigenvalue problems similar to those of Sturm; the discipline that grew out of their work is now called Sturm–Liouville theory...
Galois. Other famous French mathematicians are missing from the list: JosephLiouville and Charles Hermite. not to be confused with Jules-Albert de Dion,...
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