113339-01
Réflexions sur la métaphysique du calcul infinitésimal.
Paris, Duprat, 1797. - (21 x 13,5 cm). 80 S. Mit 1 gefalteten Kupfertafel. Moderner Pappband im Stil der Zeit, unbeschnitten.
Erste Ausgabe. - "In 1784 the Academy of Berlin invited entries in a competition for a 'clear and precise' justification of the infinitesimal calculus. The essay that Carnot submitted forms the basis of the 'Réflexions...' that he published many years later, in 1797... His book frankly acknowledged the difficulties that infinitesimal analysis raises for common sense, and although it was reserved to the reforms initiated by Cauchy, Bolzano, and Gauss to put the calculus on a rigorous footing, Carnot's justification evidently answered for well over a century to the needs of a public that wished to understand its own use of the calculus. The genius of the infinitesimal calculus, in Carnot's account, lay in its capacity to compensate in its own procedures for errors that it deliberately admitted into the process of computation for the purpose of facilitating a solution" (DSB). "In seinen 'Réflexions' unternimmt es Carnot, nachzuweisen, daß die Infinitesimalmethode ganz streng ist, und daß es daher keinen Grund dafür gibt, auf diese Methode zu verzichten" (Cantor). - Titel und Tafel etwas angestaubt und gebräunt. Im Bug durchgehend zwei kleine Löcher durch frühere Querheftung. - DSB 3, 70; Cantor IV, 647 (sehr ausführlich)
Réflexions sur la métaphysique du calcul infinitésimal.
Paris, Duprat, 1797. - (21 x 13,5 cm). 80 S. Mit 1 gefalteten Kupfertafel. Moderner Pappband im Stil der Zeit, unbeschnitten.
Erste Ausgabe. - "In 1784 the Academy of Berlin invited entries in a competition for a 'clear and precise' justification of the infinitesimal calculus. The essay that Carnot submitted forms the basis of the 'Réflexions...' that he published many years later, in 1797... His book frankly acknowledged the difficulties that infinitesimal analysis raises for common sense, and although it was reserved to the reforms initiated by Cauchy, Bolzano, and Gauss to put the calculus on a rigorous footing, Carnot's justification evidently answered for well over a century to the needs of a public that wished to understand its own use of the calculus. The genius of the infinitesimal calculus, in Carnot's account, lay in its capacity to compensate in its own procedures for errors that it deliberately admitted into the process of computation for the purpose of facilitating a solution" (DSB). "In seinen 'Réflexions' unternimmt es Carnot, nachzuweisen, daß die Infinitesimalmethode ganz streng ist, und daß es daher keinen Grund dafür gibt, auf diese Methode zu verzichten" (Cantor). - Titel und Tafel etwas angestaubt und gebräunt. Im Bug durchgehend zwei kleine Löcher durch frühere Querheftung. - DSB 3, 70; Cantor IV, 647 (sehr ausführlich)
1.200 €