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Oeuvres completes de Niels Henrik Abel : Nouvelle edition.
・ISBN 978-1-108-05057-9 paper GB£ 51.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-139-24580-7
| 著者・編者 | Abel, Niels Henrik / Sylow, L. / Lie, S. (eds.), |
|---|---|
| シリーズ | Oeuvres completes de Niels Henrik Abel 2 Volume Set |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2012 |
| ページ数 | 638 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2695＞ |
解説
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.