Oeuvres complètes de Niels Henrik ABEL. Nouvelle édition publiées aux frais de l'état norvégien par MM. L. SYLOW et S. LIE

Christiania, Grondahl, 1881, 2 volumes in 4, broché, couvertures imprimées, T.1 : (2), 8pp., 621pp., T.2 : (3), 338pp., (2)

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---- Seconde édition AUGMENTEE de QUATRES MEMOIRES ORIGINAUX AINSI que DE NOMBREUSES LETTRES ET MANUSCRITS INCONNUS lors de la parution de la première édition des oeuvres ---- Le tome premier renferme les mémoires publiés du vivant de l'auteur, le tome second ses mémoires posthumes ---- "Abel provided the first solution in the history of mathematics of an integral equation and published a paper demonstrating that a radical expression to represent a solution to fifth or higher-degree equations was impossible. In his "Mémoire sur une propriété générale d'une classe très-étendue de fonctions transcendantes", which dealt with the sum of the integrals of a given algebraic function, he presented the theorem that any such sum can be expressed as a fixed number of these integrals with integration arguments that are algebraic functions of the original arguments. Abel transformed the theory of elliptic integrals by introducing elliptic functions with its important implications for algebraic number theory. He also provided the first stringent proof of the binomial theorem" ---- Honeyman N° 2 - DSB I**3/ARB7