Mathematician:Niels Henrik Abel

Norwegian mathematician who died tragically young.

Made significant contributions towards algebra, analysis and group theory.

Best known for proving the impossibility of solving the general quintic in radicals (Abel-Ruffini Theorem).

Nationality
Norwegian

History

 * Born: 5 Aug 1802, Frindöe (near Stavanger), Norway
 * Died: 6 April 1829, Froland, Norway

Theorems and Definitions

 * Abel's Theorem
 * Abel's Lemma
 * Abel-Ruffini Theorem (with Paolo Ruffini)
 * Abelian Group

Books and Papers

 * 1824: Mémoire sur les équations algébriques ou on démontre l'impossibilité de la résolution de l'équation générale du cinquième degré (Memoir on algebraic equations, in which the impossibility of solving the general equation of the fifth degree is proven)

Also see

 * : Chapter $\text{XVII}$
 * : $\S 1.3$
 * : $\S 1.1$: The definition of a ring: Definitions $1.1 \ \text{(b)}$
 * : Introduction
 * : Chapter $\text{A}.27$
 * : Chapter $\text{A}.27$