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 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.
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Höhe: 254 mm
Breite: 178 mm
Dicke: 19 mm
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ISBN-13
978-1-108-05058-6 (9781108050586)
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Schweitzer Klassifikation
1. Les fonctions transcendantes; 2. Sur l'integrale definie; 3. Sommation de la serie; 4. Sur l'equation differentielle; 5. Sur l'equation differentielle; 6. Determination d'une fonction au moyen d'une equation qui ne contient qu'une seule variable; 7. Proprietes remarquables de la fonction; 8. Sur une propriete remarquable d'une classe tres etendue de fonctions transcendantes; 9. Extension de la theorie precedente; 10. Sur la comparison des fonctions transcendantes; 11. Sur les fonctions generatrices et leurs determinantes; 12. Sur quelques integrales definies; 13. Theorie des transcendantes elliptiques; 14. Note sur la fonction; 15. Demonstration de quelques formules elliptiques; 16. Sur les series; 17. Memoire sur les fonctions transcendantes; 18. Sur la resolution algebrique des equations; 19. Fragmens sur les fonctions elliptiques; 20. Extraits de quelques lettres a Holboe; 21. Extrait d'une lettre a Hansteen; 22. Extraits de quelques lettres a Crelle; 23. Lettre a Legendre; Manuscrits; Notes; Table pour faciliter la recherche des citations.
