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Eugène Rouché

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Eugène Rouché (1832 to 1910) was a French mathematician, born on 18 August 1832 and an alumnus of the Ecole Polytechnique, which he entered in 1852. He became professor of mathematics at the Charlemagne lyceum and then at the Ecole Centrale, and served as an admissions examiner at the Ecole Polytechnique. He is best known for Rouché's theorem in complex analysis, which he published in the school's journal in 1862, and for the Rouché-Capelli theorem in linear algebra. With Comberousse he wrote a treatise on geometry that had reached its seventh edition by 1900. His son Jacques was a noted patron of the arts who managed the Paris Opera for thirty years. He died on 19 August 1910.

Facts
Biography
Gender
Male 1
Birth Year
1832 1
Connections

In Branch

Source Eugène Rouché (Wikipedia)

Principal Result

Source Eugène Rouché (Wikipedia)

Proofs Credited

Source Rouche's Theorem (Wikipedia)
In the Other Atlases

Nationality

Also in Geography Atlas: the nationality of this subject.

Source Eugène Rouché (Wikipedia)Lead
Quote, Lead
was a French mathematician.
Sources
1. MacTutor History of Mathematics: Eugène Rouché (MacTutor)
MacTutor History of Mathematics
  • Biography
    He attended the school at the same time as Gustave Eiffel
  • Quick Info, born
    18 August 1832
View the Source
Eugène Rouché (Wikipedia)
  • Lead
    was a French mathematician.
  • In Branch: Complex Analysis, Career
    He is best known for Rouché's theorem in complex analysis
  • Principal Result: Rouche's Theorem, Career, Rouche theorem
    He is best known for Rouché's theorem in complex analysis
View the Source
Rouche's Theorem (Wikipedia)
Proofs Credited: Rouche's Theorem, Lead sentence
Quote, Proofs Credited: Rouche's Theorem, Lead sentence
Rouché's theorem, named after Eugène Rouché, states that for any two complex-valued functions f and g holomorphic inside some region K {\displaystyle K} with closed contour ∂ K {\displaystyle \partial K} , if |g(z)| < |f(z)| on ∂ K {\displaystyle \partial K} , then f and f + g have the same number of zeros inside K {\displaystyle K} , where each zero is counted as many times as its multiplicity.
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