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

LAGRANGE, Joseph Louis

Verlag: Imprimerie de la République, Paris, 1797

Pleine basane marbrée de l'époque, dos lisse orné et doré portant le titre doré. Un volume in quarto (253x193 mm), (4)-viii-276 pages. Quelques frottements à la reliure, deux coins émoussés. Piqûres de vers marginales au coin supérieur droit. Edition originale, variante A. Les bibliographies mentionnent plusieurs tirages de cet ouvrage, un tirage à 277 pages (variante B chez Norman) et le notre à 266 pages (variante A). Ce traité est issu de l'enseignement de Lagrange à l'Ecole Polytechnique. Dans ce traité, Lagrange entend manipuler les fonctions par leur seul développement en séries entières selon des méthodes qu'il qualifie de purement algébriques. La formule de Taylor apparaît alors comme le fondement de l'Analyse. 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."]. ___________________________________________________________________________________ ______________________________ENGLISH_DESCRIPTION : Contemporary full mottled sheep, gilt flat spine lettered in gilt. 4to (253x193 mm), (4)-viii-276 pages. Minor rubbings, two corners chipped. Minor worming at the right bottom corner. First edition, variant A with 266 pages (an other variant B has 277 pages, see Norman). 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."]. 805g. Bestandsnummer des Verkäufers M3481

Bibliografische Details

Titel: Théorie des fonctions analytiques, contenant...
Verlag: Imprimerie de la République, Paris
Erscheinungsdatum: 1797
Einband: Couverture rigide
Zustand: Très bon
Auflage: Edition originale.