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Guillaume de l'Hôpital

Guillaume François Antoine, Marquis de l'Hôpital[1] (French: [ɡijom fʁɑ̃swa ɑ̃twan maʁki lopital]; sometimes spelled L'Hospital; 1661 – 2 February 1704)[a] was a French mathematician. His name is firmly associated with l'Hôpital's rule for calculating limits involving indeterminate forms 0/0 and ∞/∞. Although the rule did not originate with l'Hôpital, it appeared in print for the first time in his 1696 treatise on the infinitesimal calculus, entitled Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes.[3] This book was a first systematic exposition of differential calculus. Several editions and translations to other languages were published and it became a model for subsequent treatments of calculus.

Guillaume de l'Hôpital

Guillaume François Antoine de l'Hôpital

(1661-06-07)June 7, 1661
Paris, France

2 February 1704(1704-02-02) (aged 42–43)

Paris, France

French

Personal life[edit]

L'Hôpital married Marie-Charlotte de Romilley de La Chesnelaye, also a mathematician and a member of the nobility, and inheritor of large estates in Brittany. Together, they had one son and three daughters.[8] L'Hôpital passed away at the age of 42. The exact cause of his death is not widely recorded, and historical sources do not provide specific details regarding the circumstances of his passing.

G. L'Hôpital, E. Stone, The Method of Fluxions, both direct and inverse; the former being a translation from de l'Hospital's "Analyse des infinements petits," and the latter, supplied by the translator, , London, 1730

Edmund Stone

G. L'Hôpital, Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes, Paris, 1696

G. L'Hôpital, Analyse des infinement petits, Paris 1715

William Fox, , Catholic Encyclopedia, vol 7, New York, Robert Appleton Company, 1910

Guillaume-François-Antoine de L'Hôpital

C. Truesdell Isis, Vol. 49, No. 1. (Mar., 1958), pp. 54–62, discusses the strange agreement between Bernoulli and de l'Hôpital on pages 59–62.

The New Bernoulli Edition

A.P. Yushkevich (ed), History of mathematics from the most ancient times to the beginning of the 19th century, vol 2, Mathematics of the 17th century (in Russian). Moscow, Nauka, 1970  0263.01002

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