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L'HOSPITAL, Analyse des infiniment petits, 1715
L'HOSPITAL, Guillaume François Antoine (Marquis de).
Analyse des infiniment petits, pour l'intelligence des lignes courbes.
Paris, François Montalant, 1715.
4to (246x187 mm), xv-(1)-181-(1) pages and 11 folding plates. binding : Contemporary full calf, gilt spine in six compartments. Binding strongly rubbed. Headcap worn.
Second edition.
The L'Hospital manual was the first treatise devoted to differential calculus in the French language. It did much to disseminate Leibniz's discovery in France and Europe.
On p. 145 we find the rule that would bear the name of L'Hospital's Rule (or theorem), which states that the quotient of two functions behaves locally like the quotient of the associated derivatives.
references: Landmark Writings in Western Mathematics [p.56 :" In France it was through the Oratorian circle of Nicolas Malebranche (1638–1715) that Johann Bernoulli introduced in 1691 the Leibnizian calculus. His lessons to the Marquis de l’Hôpital led to the draft of the first treatise of differential calculus (1696)"].
Price : 600 €
European VAT number: FR87515091171
© Eric Zink, Antiquarian Bookseller