Oeuvres compltes de Niels Henrik Abel Nouvelle dition [Paperback]

Originally published in 1881, these are the collected works of the Norwegian mathematician Niels Henrik Abel (180229).Originally published in 1881, this is the second volume of the collected works of the Norwegian mathematician Niels Henrik Abel (180229). It contains, among many other discoveries, Abel's fundamental results on elliptic functions and his investigations into infinite series.Originally published in 1881, this is the second volume of the collected works of the Norwegian mathematician Niels Henrik Abel (180229). It contains, among many other discoveries, Abel's fundamental results on elliptic functions and his investigations into infinite series.Niels Henrik Abel (180229) 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 (18321918) and Sophus Lie (184299), contain some of the pillars of mathematical history. Volume 2 contains additional articles on elliptic functions and infinite series. It also includes extracts from Abel's letters, as well as detailed notes and commentary by Sylow and Lie on Abel's pioneering work.1. Les fonctions transcendantes; 2. Sur l'int?grale definie; 3. Sommation de la s?rie; 4. Sur l'?quation differentielle; 5. Sur l'?quation differentielle; 6. D?termination d'une fonction au moyen d'une ?quation qui ne contient qu'une seule variable; 7. Propri?t?s remarquables de la fonction; 8. Sur une propri?t? remarquable d'une classe tr?s ?tendue de fonctions transcendantes; 9. Extension de la th?orie pr?c?dente; 10. Sur la comparison des fonctions transcendantes; 11. Sur les fonctions g?n?ratrices et leurs d?terminantes; 12. Sur quelques int?grales definies; 13. Th?orie des transcendantes elliptiques; 14. Note sur lal“2