Recherches sur les fonctions elliptiques
E64057
Recherches sur les fonctions elliptiques is a foundational mathematical treatise by Niels Henrik Abel that significantly advanced the theory of elliptic functions and laid groundwork for modern complex analysis.
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical treatise
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scientific publication ⓘ |
| author | Niels Henrik Abel ⓘ |
| authorNationality | Norwegian ⓘ |
| contributedTo |
development of the theory of elliptic functions
ⓘ
foundations of modern complex analysis ⓘ |
| field |
complex analysis
ⓘ
mathematics ⓘ |
| genre | research monograph ⓘ |
| hasAuthorContribution | Abel’s major work on elliptic and Abelian functions ⓘ |
| hasContribution |
clarified the inversion of elliptic integrals
ⓘ
established addition theorems for elliptic functions ⓘ introduced general methods for transcendental functions ⓘ |
| historicalPeriod | early 19th century mathematics ⓘ |
| impact |
considered a foundational work in the theory of elliptic functions
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helped shape the modern concept of complex analytic functions ⓘ |
| influenced |
Bernhard Riemann
ⓘ
Carl Gustav Jacob Jacobi ⓘ development of Abelian functions ⓘ theory of Riemann surfaces ⓘ |
| influencedBy | earlier work on elliptic integrals ⓘ |
| language | French ⓘ |
| mainSubject | elliptic functions ⓘ |
| namedAfter | elliptic functions ⓘ |
| notableFor |
influence on later work in algebraic geometry
ⓘ
introduction of Abelian integrals concepts ⓘ systematic study of elliptic functions ⓘ |
| originalTitleLanguage | French ⓘ |
| partOf | 19th-century literature on analysis ⓘ |
| publicationCentury | 19th century ⓘ |
| title | Recherches sur les fonctions elliptiques self-link ⓘ |
Referenced by (2)
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Recherches sur les fonctions elliptiques
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Recherches sur les fonctions elliptiques
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