Carl Gustav Jacob Jacobi | Academic Influence

Carl Gustav Jacob Jacobi's AcademicInfluence.com Rankings

Carl Gustav Jacob Jacobi

Mathematics

#132

Historical Rank

Measure Theory

#492

Historical Rank

mathematics Degrees

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Mathematics

Carl Gustav Jacob Jacobi's Degrees

Doctorate Mathematics University of Göttingen

Why Is Carl Gustav Jacob Jacobi Influential?

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According to Wikipedia, Carl Gustav Jacob Jacobi was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants, and number theory. His name is occasionally written as Carolus Gustavus Iacobus Iacobi in his Latin books, and his first name is sometimes given as Karl.

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Carl Gustav Jacob Jacobi's Published Works

Published Works

Fundamenta nova theoriae functionum ellipticarum (262)
De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum. (62)
De formatione et proprietatibus Determinatium. (58)
De usu legitimo formulae summatoriae Maclaurinianae. (46)
De binis quibuslibet functionibus homogeneis secundi ordinis per substitutiones lineares in alias binas tranformandis, quae solis quadratis variabilium constant; una cum variis theorematis de tranformatione etdeterminatione integralium multiplicium. (45)
De Determinantibus functionalibus. (43)
Theoremata nova algebraica circa systema duarum aequationum, inter duas variabiles propositarum. (24)
De functionibus duarum variabilium quadrupliciter periodicis, quibus theoria transcendentium Abelianarum innititur. (23)
De relationibus, quae locum habere debent inter puncta intersectionis duarum curvarum vel trium superficierum algebraicarum dati ordinis, simul cum enodatione paradoxi algebraici. (11)
Observatiunculae ad theoriam aequationum pertinentes. (10)
Nova methodus, aequationes differentiales partiales primi ordinis inter numerum variabilium quemcunque propositas integrandi. (8)
Observatio arithmetica de numero classium divisorum quadraticorum formae yy + Azz, designante A numerum primum formae 4n+3. (5)
Formulae novae in theoria transcendentium ellipticarum fundamentales. (4)
Canon arithmeticus sive tabulae quibus exhibentur pro singulis numeris primis vel primorum potestatibus infra 1000 numeri ad datos indices et indices ad datos numeros pertinentes : Impensis Academiae litterarum regiae borussicae (4)
Dato systemate n aequationum linearium inter n incognitas, valores incognitarum per integralia definita (n-1) tuplicia exhibentur. (2)
Nota de erroribus quibusdam geometricis, qui in theoria functionum leguntur. (1)
De functionibus ellipticis commentatio altera. (1)
De fractione continua, in quam integrale evolvere licet. (1)
De evolutione expressionis ()-n in seriem infinitam secundum cosinus multiplorum utriusque anguli φ, φ′ procedentem. (1)
Demonstratio formulae . (0)
De seriebus ac differentiis observatiunculae. (0)
Exercitatio algebraica circa discerptionem singularem fractionum, quae plure variabiles involvunt. (0)
De functionibus elliptiques commentatio. (0)

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What Schools Are Affiliated With Carl Gustav Jacob Jacobi?

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What Are Carl Gustav Jacob Jacobi's Academic Contributions?

Carl Gustav Jacob Jacobi has made the following academic contributions:

Fundamenta nova theoriae functionum ellipticarum

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