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...minimal polynomials are irreducible, so Cox's formulation is equivalent to Abel's. {{citation ...om/2008/09/abels-lemmas-on-irreducibility.html Fermat's Last Theorem blog: Abel's Lemmas on Irreducibility]. September 4, 2008. ...

...rtain differential equations|certain functional equations named after Abel|Abel equation}} ...cs]], an '''Abel equation of the first kind''', named after [[Niels Henrik Abel]], is any [[ordinary differential equation]] that is [[cubic function|cubic ...

...n-place=Springer Cham|pages=74f|isbn=978-3-319-23715-2|language=en}}</ref> Abel's work on elliptic functions also influenced [[Carl Gustav Jacob Jacobi|Jac ...]]s which at that time were still in their infancy. In the following years Abel continued to explore these functions. He also tried to generalize them to f ...

{{Distinguish|Abel's summation formula}} ...ently by {{harvs|txt|first=Niels Henrik|last=Abel |authorlink=Niels Henrik Abel|year=1823}} and {{harvs|txt|first=Giovanni Antonio Amedeo|last=Plana|year=1 ...

...ised the young, aspiring [[Norway|Norwegian]] mathematician [[Niels Henrik Abel]] in a decisive way. Degen has received much of the credit for the introduc ...is on [[Kant]]'s philosophy<ref name=Stubhaug>A. Stubhaug, ''Niels Henrik Abel and his Times'', Springer-Verlag, Berlin (2000). {{ISBN|3-540-66834-9}}.</ ...

...is a variant of [[Abel's functional equation]] for the dilogarithm {{harv|Abel|1881}}. ...s \{0, 1\}]</math> as the free abelian group generated by symbols [''x'']. Abel's functional equation implies that ''D''₂ vanishes on the subgro ...

In [[calculus]], the '''Abel–Dini–Pringsheim theorem''' is a [[convergence test]] which constructs from ...lent, and it suffices to prove only one case. This is because applying the Abel–Dini–Pringsheim theorem for divergent series to the series with partial sum ...

* 1829 [[Niels Henrik Abel]] uses special values of the lemniscate function to construct abelian exten ...

...che Theorem über Translationsflächen"] (the theorem of [[Niels Henrik Abel|Abel]] and [[Sophus Lie|Lie]] on translation surfaces). ...

...Tamarkin]] compared von Neumann's book to what the works on [[Niels Henrik Abel]] or [[Augustin-Louis Cauchy]] did for [[mathematical analysis]] in the 19t ...

...tative geometry (ein Alterstraum). In the Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo, (pp. 685-727). Berlin, Heidelberg: Springer Berlin Hei ...

...p;– [[Paolo Ruffini (mathematician)|Paolo Ruffini]] partially proves the [[Abel–Ruffini theorem]] that [[Quintic equation|quintic]] or higher equations can * 1824&nbsp;– [[Niels Henrik Abel]] partially proves the [[Abel–Ruffini theorem]] that the general [[Quintic equation|quintic]] or higher e ...

...b |url=http://www.abelprize.no/c67107/binfil/download.php?tid=67059 |title=Abel prize 2016 – full citation |access-date=16 March 2016 |archive-date=20 May ...ref>[http://www.cnn.com/2016/03/16/europe/fermats-last-theorem-solved-math-abel-prize/index.html 300-year-old math question solved, professor wins $700k] – ...

...the method of first integrals (compare the theorems by [[Niels Henrik Abel|Abel]] and [[Évariste Galois|Galois]] about the impossibility of solving [[Quint ...

...neral solutions for higher degrees, as proven in the 19th century by the [[Abel–Ruffini theorem]].<ref name="auto3"/> Even when general solutions do not ex ...olo Ruffini]] and the Norwegian mathematician [[Niels Henrik Abel]] were [[Abel–Ruffini theorem|able to show]] that no general solution exists for polynomi ...

...agrange is considered a founder of group theory, along with [[Niels Henrik Abel]] and [[Évariste Galois]]. ...