De l'hopital

Guillaume-François-Antoine de L'Hôpital, Marquis de Sainte-Mesme and Comte d'Entremont

By jrusch
  • Birth of L'Hôpital

    Guillaume-François-Antoine, Marquis de l'Hôpital, Marquis de Sainte-Mesme, Comte d'Entremont and Seigneur d'Ouques-la-Chaise was born in Paris in 1661, the exact date is unknown. His family was very prominant, dating back to the 12th century.
  • His parents

    His parents
    His father was Anne-Alexandre de l'Hôpital, a Lieutenant-general in the King's Army; he was Comte de Sainte-Mesme and Duc d'Orleans. Guillaume's mother was Elisabeth Gobelin, the daughter of Claude Gobelin who was an Intendant in the King's Army and a Councillor of State. To put it simply: he had bank.
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    Marriage and Children

    His wife is said to have been associated with him in his work. L'Hôpital married Marie-Charlotte de Romilley de La Chesnelaye; they had one son and three daughters.
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    Worked on calculus

    As a child, l'Hôpital had no talent for subjects like Latin, but he developed strong mathematical abilities and a real passion for the subject.
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    Solves difficult problem at age 15

    Bernard de Fontenelle recounts that when l'Hôpital was fifteen years old he was discussing mathematics with the Duke of Roannès and a Mr Arnaud. They told him about a very difficult problem on the cycloid that Blaise Pascal had proposed. A few days later l'Hôpital had solved the problem.
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    Rough time spane of his time in the service

    He was a Captain in the King's cavalry, like most of the men in his family, so it was no surprise. But he still studied mathematics in his tent. Because of extreme near-sightedness, he had to resign from the military, and devote himself entirely to his math.
  • Met Johann Bernoulli

    Met Johann Bernoulli
    Johann agreed to supplement his Paris talks on infinitesimal calculus with private lectures to l'Hôpital.
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    Became academicien geometre

  • L'Hôpital makes a bargain with Bernoulli

    On this day, l'Hôpital made the following proposal to Johann Bernoulli: in exchange for an annual payment of 300 Francs, Bernoulli would inform L'Hôpital of his latest mathematical discoveries, withholding them from correspondence with others, including Varignon. Bernoulli's immediate response has not been preserved, but he must have agreed soon, as the subsequent letters show.
  • Johann Bernoulli discovered l'Hopital's rule.

    Answering l'Hôpital's question, in a letter of 22 July 1694 Johann Bernoulli described the rule of computing the limit of a fraction whose numerator and denominator tend to 0 by differentiating the numerator and denominator. A commonly made claim that l'Hôpital attempted to get credit for discovering the l'Hôpital's rule is inaccurate, since in the preface to his textbook, l'Hôpital generally acknowledged Leibniz, Jakob Bernoulli and Johann Bernoulli as the sources of the results in it.
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    Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes

    This book ontains an account of the differential calculus as conceived by Leibniz and learned from Bernoulli. In its preface l’Hôpital freely acknowledges his debt to the two mathematicians, saying, "I have made free use of their discoveries."
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    After publishing his textbook

    "I must own myself very much obliged to the labours of Messieurs Bernoulli, but particularly to those of the present Professor at Groningen. I have made free use of their discoveries, as well as those of Mr Leibniz, so that I frankly return to them whatever they please to claim as their own. "
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    Elected honorary member of the Academy of Sciences of Paris by Louis XIV

    He soon rivaled Newton, Huyghens, Leibniz, and the Bernoulli prothers in the propounding and solving of problems involving calculus.
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    Vice President of Academie

  • Death of L'Hôpital

    In Paris, France
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    Second book written

    Ttraite anlytique des sectios coniques
    Analytical treatise of conic sections
    Published 1707 posthumous
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    Second edition of Analyse.... published

    new editions made scene until 1781, exact date unknown
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    Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes translated into English