LAGRANGE. Théorie des Fonctions analytiques
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•LAGRANGE, Joseph-Louis. Théorie des Fonctions Analytiques, contenant les principes du Calcul Différentiel, dégagés de toute considération d’infiniment petits ou d’évanouissans, de limites ou de fluxions, et réduits à l’analyse algébrique des quantités finies. Paris, Imprimérie de la République, Prairal an V [maggio-giugno 1797]. •4to, mm. 270x220; contemporary Bodonian board; p. [4], VIII, 277, [3], the last 2 blank. Dedicatory copy, on the half-title the handwritten note: "Donné par l'auteur à S. Favart an 12". ••Very RARE ORIGINAL EDITION In this work Lagrange exposes the results of research on the analysis infinitesimal that was taking for some time. Cajori: “The year 1797 saw the appearance of the famous work of Lagrange, Théorie des fonctions analytiques, This book developed with care and completeness the characteristic definition and method in terms of ‘fonctions derives,’ based upon Taylor’s series, which Lagrange had proposed in 1772.• In it the author gave not only an attempted proof of the incorrect theorem that every continuous function may be so expanded, but also the determination of the ‘fonctions derives’ (or derivatives) of the elementary functions, and numerous applications to geometry and mechanics Lagrange’s Théorie des fonctions was only one, but by far the most important, of many attempts made about this time to furnish the calculus with a basis which would logically modify or supplant those given in terms of limits and infinitesimals.” Loria: “"[Grazie a quest’opera] la serie di Taylor per più variabili, la teoria generale degli inviluppi, etc., entrarono a far parte di qualunque trattazione dell’analisi infinitesimale, e fu posto nelle mani di tutti un modello di stile matematico, chiaro ed elegante.” •D.S.B.: “[In this work, 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.”.• Cajori, The Concepts of the Calculus, p.261-63; D.S.B., VII, p. 570; Loria, Storia delle Matematiche, pp. 758-60; Norman 1258; Honeyman 1881; Stanitz 250.
Fresh copy, uncut. Il lotto viene venduto provvisto di licenza d'esportazione.THE LOT IS OFFERED WITH A VALID EXPORT LICENCE
Fresh copy, uncut. Il lotto viene venduto provvisto di licenza d'esportazione.THE LOT IS OFFERED WITH A VALID EXPORT LICENCE
