Théorie des Fonctions Analytiques, contenant les Principes du Calcul différentiel, dégagés de Toute considération d'Infiniment Petits ou d'Evanouissans, de Limites ou de Fluxions, et réduits a l'Analyse Algébrique des Quantités finies. Joseph Louis LAGRANGE, Comte.

Théorie des Fonctions Analytiques, contenant les Principes du Calcul différentiel, dégagés de Toute considération d'Infiniment Petits ou d'Evanouissans, de Limites ou de Fluxions, et réduits a l'Analyse Algébrique des Quantités finies.

2 p.l., viii, 277, [1] pp. Large 4to, cont. half-calf & speckled boards (final ten leaves with pale & unimportant dampstaining, occasional minor browning), uncut. Paris: Imprimerie de la République, An V [1797].

First edition and a lovely copy. 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.”–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.”–Cajori, The Concepts of the Calculus, pp. 261-63.

Fine uncut copy.

Price: $3,000.00

Item ID: 3493

See all items in Calculus, Mathematics, Science
See all items by ,