Guillaume de l'Hôpital

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Guillaume de l'Hôpital
Born
Guillaume François Antoine de l'Hôpital

(1661-06-07)June 7, 1661
Paris, France
Died2 February 1704(1704-02-02) (aged 42–43)
Paris, France
NationalityFrench
Known for
Scientific career
FieldsMathematician
InstitutionsFrench Academy of Sciences
Academic advisorsJohann Bernoulli

Guillaume François Antoine,

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
.

Biography

L'Hôpital was born into a military family. His father was Anne-Alexandre de l'Hôpital, a Lieutenant-General of the King's army, Comte de Saint-Mesme and the first squire of Gaston, Duke of Orléans. His mother was Elisabeth Gobelin, a daughter of Claude Gobelin, Intendant in the King's Army and Councilor of the State.

L'Hôpital abandoned a military career due to poor eyesight and pursued his interest in

brachistochrone problem, and the discovery of a turning point singularity on the involute of a plane curve near an inflection point.[7]

L'Hôpital exchanged ideas with

Jacob and Johann Bernoulli. His Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problêmes tant déterminés qu'indéterminés ("Analytic treatise on conic sections
") was published posthumously in Paris in 1707.

Illustration of Solutio problematis physico mathematici published in Acta Eruditorum, 1695

Calculus textbook

Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes, 1715
Traité analytique, 1720

In 1696 l'Hôpital published his book

differential geometry of curves in a lucid form and with numerous figures; however, it did not consider integration
.

The history leading to the book's publication became a subject of a protracted controversy. In a letter from 17 March 1694, l'Hôpital made the following proposal to

Basel University
library. The text showed remarkable similarities to l'Hôpital's writing, substantiating Bernoulli's account of the book's origin.

L'Hôpital's pedagogical brilliance in arranging and presenting the material remains universally recognized.[citation needed] Regardless of the exact authorship (the book was first published anonymously), Analyse was remarkably successful in popularizing the ideas of differential calculus stemming from Leibniz.[citation needed]

Personal life

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.

Notes

  1. ^ also known as Guillaume-François-Antoine Marquis de l'Hôpital, Marquis de Sainte-Mesme, Comte d'Entremont, and Seigneur d'Ouques-la-Chaise,[2]

References

  1. been altered: the silent 's' has been removed and replaced with the circumflex
    over the preceding vowel.
  2. ^ "Guillaume de l'Hôpital (1661-1704)". Archived from the original on 28 October 2019. Retrieved 8 March 2019.
  3. ^ 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.
  4. ^ Solutio problematis physico mathematici. Acta Eruditorum. Leipzig. 1695. p. 56. Retrieved 18 July 2018.
  5. ^ Yushkevich, p. 270.
  6. ^ Unbeknownst to him, a solution had already been obtained by James Gregory in letters to Collins (1670–1671), ibid.
  7. concave
    from the same side. It was described in l'Hôpital's letter to Johann Bernoulli from May 1694, Yushkevich, p. 275.
  8. .

Bibliography

External links