Oeuvres Completes de Niels Henrik Abel : Nouvelle edition

Originally published in 1881, this is the first volume of the collected works of the Norwegian mathematician Niels Henrik Abel (1802–29). It contains many of Abel's fundamental discoveries, including his proofs of the 'impossibility theorem' and the binomial theorem, and his famous 'Paris memoir' on elliptic functions.

Niels Henrik Abel (1802–29) was one of the most prominent mathematicians in the first half of the nineteenth century. His pioneering work in diverse areas such as algebra, analysis, geometry and mechanics has made the adjective 'abelian' a commonplace in mathematical writing. These collected works, first published in two volumes in 1881 after careful preparation by the mathematicians Ludwig Sylow (1832–1918) and Sophus Lie (1842–99), contain some of the pillars of mathematical history. Volume 1 includes perhaps the most famous of Abel's results, namely his proof of the 'impossibility theorem', which states that the general fifth-degree polynomial is unsolvable by algebraic means. Also included in this volume is Abel's 'Paris memoir', which contains his many fundamental results on transcendental functions - in particular on elliptic integrals, elliptic functions, and what are known today as abelian integrals.