Niels Henrik Abel (/ˈɑːbəl/ AH-bəl, Norwegian: [ˌnɪls ˈhɛ̀nːɾɪk ˈɑ̀ːbl̩]; 5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering...
28 KB (3,444 words) - 20:43, 1 September 2024
outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes; as such,...
28 KB (1,751 words) - 15:20, 29 October 2024
and completed in 1813 and accepted by Cauchy) and Niels Henrik Abel, who provided a proof in 1824. Abel–Ruffini theorem refers also to the slightly stronger...
28 KB (4,086 words) - 18:53, 27 October 2024
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...
8 KB (1,538 words) - 03:54, 7 August 2024
is named after mathematician Niels Henrik Abel, who proved it in 1826. There are two slightly different versions of Abel's test – one is used with series...
6 KB (1,047 words) - 21:59, 2 September 2024
Ludvig Sylow (section Abel and the theory of equations)
processed and further developed the innovative works of mathematicians Niels Henrik Abel and Évariste Galois in algebra. Sylow theorems and p-groups, known...
20 KB (2,698 words) - 00:24, 28 March 2024
mathematics Abel elliptic functions are a special kind of elliptic functions, that were established by the Norwegian mathematician Niels Henrik Abel. He published...
10 KB (2,003 words) - 18:05, 23 May 2024
and the memoir was lost. The prize would be awarded that year to Niels Henrik Abel posthumously and also to Carl Gustav Jacob Jacobi. Despite the lost...
41 KB (4,804 words) - 22:41, 27 October 2024
In mathematics, Abel's summation formula, introduced by Niels Henrik Abel, is intensively used in analytic number theory and the study of special functions...
5 KB (1,232 words) - 17:13, 14 April 2023
Tautochrone curve (redirect from Abel integral equation)
loosely on Proctor, pp. 135–139) Niels Henrik Abel attacked a generalized version of the tautochrone problem (Abel's mechanical problem), namely, given...
17 KB (3,136 words) - 05:36, 16 September 2024
In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially...
9 KB (1,594 words) - 01:34, 8 August 2024
Abelian group (category Niels Henrik Abel)
generalization of these examples. Abelian groups are named after Niels Henrik Abel. The concept of an abelian group underlies many fundamental algebraic...
36 KB (5,284 words) - 05:57, 6 November 2024
Summation by parts (redirect from Abel transformation)
certain types of sums. It is also called Abel's lemma or Abel transformation, named after Niels Henrik Abel who introduced it in 1826. Suppose { f k }...
9 KB (2,162 words) - 19:23, 9 September 2024
brother Cain. Abel may also refer to: Abel (given name), including a list of people and fictional characters Abel (surname) Niels Henrik Abel, a Norwegian...
2 KB (326 words) - 13:40, 30 April 2024
Norwegian mathematician Niels Henrik Abel, who published a proof in 1824, thus establishing the Abel–Ruffini theorem. While Ruffini and Abel established that...
32 KB (4,194 words) - 23:26, 25 October 2024
businessman and politician Niels Henrik Abel (1802–1829), Norwegian mathematician Niels Arestrup (born 1949), French actor Niels Viggo Bentzon (1919–2000)...
3 KB (427 words) - 09:04, 16 October 2024
after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is...
7 KB (946 words) - 19:24, 25 March 2024
In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function...
3 KB (466 words) - 23:33, 2 June 2024
Abelian category (category Niels Henrik Abel)
In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable...
19 KB (2,643 words) - 03:45, 26 March 2024
named after Niels Henrik Abel (1802–1829), a Norwegian mathematician. Abel's binomial theorem Abel elliptic functions Abel equation Abel equation of the...
2 KB (172 words) - 13:47, 2 September 2022
Internationally recognised Norwegian scientists include the mathematicians Niels Henrik Abel and Sophus Lie. Caspar Wessel was the first to describe vectors and...
226 KB (20,846 words) - 00:59, 3 November 2024
August Leopold Crelle (category Niels Henrik Abel)
Mathematik (also known as Crelle's Journal). He befriended Niels Henrik Abel and published seven of Abel's papers in the first volume of his journal. In 1841...
2 KB (131 words) - 19:56, 25 September 2023
Søren Georg Abel (3 January 1772 – 5 May 1820) was a Norwegian priest and politician, also known as the father of mathematician Niels Henrik Abel. Søren Georg...
4 KB (368 words) - 03:52, 3 September 2024
Abelian integral (redirect from Abel integral)
mathematics, an abelian integral, named after the Norwegian mathematician Niels Henrik Abel, is an integral in the complex plane of the form ∫ z 0 z R ( x , w...
6 KB (848 words) - 21:37, 15 March 2022
In mathematics, Abel's irreducibility theorem, a field theory result described in 1829 by Niels Henrik Abel, asserts that if ƒ(x) is a polynomial over...
3 KB (354 words) - 13:35, 20 June 2022
equations. The identity is named after the Norwegian mathematician Niels Henrik Abel. Since Abel's identity relates to the different linearly independent solutions...
12 KB (2,749 words) - 22:04, 4 June 2024
functions.[citation needed] Fractional calculus was introduced in one of Niels Henrik Abel's early papers where all the elements can be found: the idea of fractional-order...
51 KB (6,546 words) - 21:23, 29 October 2024
Abelian variety (category Niels Henrik Abel)
polynomials of higher degree, say quintics, what would happen? In the work of Niels Abel and Carl Jacobi, the answer was formulated: this would involve functions...
21 KB (3,124 words) - 17:18, 3 November 2024
notable mathematicians from Norway. A pioneer of modern mathematics, Niels Henrik Abel contributed greatly towards various fields of mathematics during his...
28 KB (1,406 words) - 01:03, 18 June 2024
Abel's binomial theorem, named after Niels Henrik Abel, is a mathematical identity involving sums of binomial coefficients. It states the following: ∑...
859 bytes (165 words) - 14:35, 21 May 2022