Abel's theorem

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• Abel–Ruffini theorem — The Abel–Ruffini theorem (also known as Abel s impossibility theorem) states that there is no general solution in radicals to polynomial equations of degree five or higher.MisinterpretationThe content of this theorem is frequently misunderstood.… …   Wikipedia

• Abel's theorem — In mathematics, Abel s theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician Niels Henrik Abel.TheoremLet a = { a k : k ≥ 0} be any sequence of real or complex… …   Wikipedia

• Abel–Jacobi map — In mathematics, the Abel–Jacobi map is a construction of algebraic geometry which relates an algebraic curve to its Jacobian variety. In Riemannian geometry, it is a more general construction mapping a manifold to its Jacobi torus.The name… …   Wikipedia

• Abel , Niels Henrik — (1802–1829) Norwegian mathematician Abel was born in Froland, the son of a poor pastor; he was educated in mathematics at the University of Christiana (Oslo). After the death of his father, Abel had to support a large family; he earned what he… …   Scientists

• Abel, Niels Henrik — ▪ Norwegian mathematician born August 5, 1802, island of Finnøy, near Stavanger, Norway died April 6, 1829, Froland  Norwegian mathematician, a pioneer in the development of several branches of modern mathematics.       Abel s father was a poor… …   Universalium

• Abel's curve theorem — Abel s curve theorem, named after Niels Henrik Abel, is a theorem that relates fixed points to the parameters of rational functions.External links* [http://mathworld.wolfram.com/AbelsCurveTheorem.html Abel s Curve Theorem] …   Wikipedia

• Abel's identity — Abel s formula redirects here. For the formula on difference operators, see Summation by parts. In mathematics, Abel s identity (also called Abel s differential equation identity) is an equation that expresses the Wronskian of two homogeneous… …   Wikipedia

• Abel's binomial theorem — Abel s binomial theorem, named after Niels Henrik Abel, states the following: sum {y=0}^m inom{m}{y} (w+m y)^{m y 1}(z+y)^y=w^{ 1}(z+w+m)^m.ee also* Binomial theorem * Binomial typeReferences* …   Wikipedia

• Abel [2] — Abel, 1) Karl Friedrich, der letzte Gambenvirtuos, geb. 1725, gest. 20. Juni 1787 in London, war 1748–58 Mitglied der Hofkapelle in Dresden, seit 1759 in London, wo er mit Joh. Christian Bach bis zu dessen Tode (1782) Abonnementkonzerte (die Bach …   Meyers Großes Konversations-Lexikon

• Abel transform — In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially symmetric functions. The Abel transform of a function f ( r ) is given by::F(y)=2int y^infty… …   Wikipedia

• Niels Henrik Abel — Born 5 August 1802( …   Wikipedia