Autour de la seconde formule de la moyenne : un article de Paul Mansion paru dans la revue Mathesis en 1885

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Autour de la seconde formule de la moyenne : un article de Paul Mansion paru dans la revue Mathesis en 1885

Hervé Le Ferrand

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[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO][ MATH.MATH-HO ] Mathematics [math]/History and Overview [math.HO]

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International audience; En 1885, le mathématicien belge Paul Mansion publie dans la revue Mathesis un article sur la seconde formule de la moyenne. Ce texte est particulièrement intéressant car Paul Mansion reproduit une nouvelle preuve du second théorème de la moyenne que vient de lui communiquer le célèbre mathématicien allemand Léopold Kronecker (1823-1891). Après avoir montré toute l’importance de cette démonstration inédite, Paul Mansion discute des différentes hypothèses qui permettent d’arriver à l’expression de la seconde formule de la moyenne. Nous analysons l’article de Paul Mansion puis nous le rattachons aux travaux ultérieurs des deux mathématiciens Otto Hölder et Ernest William Hobson sur ce résultat mathématique.

year	journal	country	edition	language
2017-01-01

http://journals.openedition.org/bibnum/1070

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