Analyse des infiniment petits pour l’intelligence des lignes courbes
E927690
*Analyse des infiniment petits pour l’intelligence des lignes courbes* is a landmark 1696 calculus textbook by Guillaume de l’Hôpital, notable as the first published work on differential calculus and for popularizing methods developed by Leibniz and the Bernoullis.
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
calculus textbook
ⓘ
mathematics book ⓘ nonfiction book ⓘ |
| aimedAt | students of mathematics ⓘ |
| associatedWith | Leibniz–Newton calculus priority period NERFINISHED ⓘ |
| author | Guillaume de l’Hôpital NERFINISHED ⓘ |
| basedOn | lectures of Johann Bernoulli ⓘ |
| circaPublicationDate | June 1696 ⓘ |
| contains |
applications of differential calculus to geometry
ⓘ
methods for finding maxima and minima ⓘ methods for finding tangents to curves ⓘ rules for differentiation ⓘ |
| countryOfOrigin | France ⓘ |
| field |
calculus
ⓘ
mathematics ⓘ |
| genre | textbook ⓘ |
| hasAlternativeName | Analyse des infiniment petits NERFINISHED ⓘ |
| hasForm | printed book ⓘ |
| hasHistoricalReputation |
first systematic exposition of differential calculus in book form
ⓘ
landmark work in the history of calculus ⓘ |
| hasPart |
chapters on curve analysis
ⓘ
chapters on differential rules ⓘ worked mathematical examples ⓘ |
| historicalPeriod | 17th century ⓘ |
| influenced |
18th-century mathematical education
ⓘ
development of calculus in France ⓘ |
| influencedBy |
Gottfried Wilhelm Leibniz
NERFINISHED
ⓘ
Jacob Bernoulli NERFINISHED ⓘ Johann Bernoulli NERFINISHED ⓘ |
| mainSubject |
curves
ⓘ
differential calculus ⓘ infinitesimal calculus ⓘ |
| notableFor |
being the first published textbook on differential calculus
ⓘ
popularizing the Leibnizian notation for derivatives ⓘ |
| originalLanguage | French ⓘ |
| printingLocation | Paris NERFINISHED ⓘ |
| publicationYear | 1696 ⓘ |
| title | Analyse des infiniment petits pour l’intelligence des lignes courbes NERFINISHED ⓘ |
| usedConcept |
asymptotes of curves
ⓘ
differentials ⓘ infinitesimals ⓘ maxima and minima of functions ⓘ tangents to curves ⓘ |
| usedNotation | Leibniz notation for derivatives ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
Guillaume de l’Hôpital
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notableWork
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Analyse des infiniment petits pour l’intelligence des lignes courbes
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Guillaume de l’Hôpital
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authorOf
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Analyse des infiniment petits pour l’intelligence des lignes courbes
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