LAGRANGE, Théorie des fonctions analytiques, 1797
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, Imprimerie de la République, An V [1797].
4to (243x185 mm), (4)-viii-277-(1) pages. binding : Ninteenth century quarter sheep. Watarstains at the beginning and the end. Large tear without lack page 191.
First edition, the rare first issue with 277 pages and an errata at the end.
Norman mentionned two issues, ours (variant B with 277 pages and and other, variant A with 276 pages.
Version B s priority is confirmed by the fact that, in Version A the errata listed in Version B have been corrected.
references: D.S.B. [VII, p. 570. "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."], Norman [1258 : "Lagrange attempte to show that power series expansions are sufficient to provide a solid foundation for differential calculus."].
Price : 3000 €
