Oeuvres Complètes de Niels Henrik Abel: Nouvelle Édition

ISBN-13: 9781108050579 / Angielski / Miękka / 2012 / 638 str.

Henrik Abel Niels;L. Sylow;S. Lie

Opis

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."