Eugène Rouché (18 August 1832 – 19 August 1910) was a French
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
.
Career
He was an alumnus of the
École Polytechnique
École may refer to:
* an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée)
* École (river), a tributary of the Seine
The Seine ( , ) is a river in northern Franc ...
, which he entered in 1852. He went on to become professor of mathematics at the Charlemagne lyceum then at the
École Centrale, and admissions examiner at his alma mater. He is best known for
Rouché's theorem in
complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebra ...
, which he published in his alma mater's institutional journal in 1862, and for the
Rouché–Capelli theorem in
linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as:
:a_1x_1+\cdots +a_nx_n=b,
linear maps such as:
:(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n,
and their representations in vector spaces and through matric ...
.
His son,
Jacques, was a noted patron of the arts who managed the
Paris Opera
The Paris Opera (, ) is the primary opera and ballet company of France. It was founded in 1669 by Louis XIV as the , and shortly thereafter was placed under the leadership of Jean-Baptiste Lully and officially renamed the , but continued to be k ...
for thirty years (1914–1944).
See also
*
Rouché's theorem
*
Rouché–Capelli theorem
References
* Rouché et Comberousse (de), Traité de géométrie, tomes I et II, 7e édition, 1900 (réédition Jacques Gabay 1997).
External links
Biography at the St Andrews university website
1832 births
1910 deaths
People from Gard
École Polytechnique alumni
École Polytechnique faculty
19th-century French mathematicians
Members of the French Academy of Sciences
Members of the Ligue de la patrie française
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