‎LAGRANGE (J.L.)‎
‎Théorie des fonctions analytiques contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits, d'évanouissants, de limites et de fluxions et réduits à l'analyse algébrique des quantités finies -- Troisième édition REVUE ET SUIVIE D'UNE NOTE PAR M. J.A. SERRET -- BEL EXEMPLAIRE‎

‎P., Bachelier, 1847, un volume in 4 relié en demi-chagrin vert, dos orné de caissons dorés (reliure de l'époque), (quelques rousseurs), 12pp., 399pp.‎

Reference : 84180


‎---- BEL EXEMPLAIRE ---- Troisième édition REVUE ET SUIVIE D4UNE NOTE PAR M. J.A. SERRET ---- EX-LIBRIS MANUSCRIT SUR LE FAUX-TITRE E. DE BEAUVAIS ---- "In this book, LAGRANGE intended to show that power series expansions are sufficient to provide differential calculus with a solid foundation. Today mathematicians are partially returning to this conception in treating the formal calculus of series. As early as 1812, however J.M.H. WRONSKI objected to LAGRANGE's claims. The subsequent opposition of Cauchy was more effective. Nevertheless, LAGRANGE's point of view could not be totally neglected. Completed by convergence considerations, it dominated the study of the functions of a complex variable throughout the nineteenth century". (DSB VII p. 570)**84180/8418/N4-3020/N7AR‎

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