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Look Inside Oeuvres complètes de Niels Henrik Abel

Oeuvres complètes de Niels Henrik Abel
Nouvelle édition

Volume 2


Part of Cambridge Library Collection - Mathematics

  • Date Published: August 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781108050586

£ 32.99

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About the Authors
  • 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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    Product details

    • Date Published: August 2012
    • format: Paperback
    • isbn: 9781108050586
    • length: 352 pages
    • dimensions: 254 x 178 x 19 mm
    • weight: 0.61kg
    • availability: Available
  • Table of Contents

    1. Les fonctions transcendantes
    2. Sur l'intégrale definie
    3. Sommation de la série
    4. Sur l'équation differentielle
    5. Sur l'équation differentielle
    6. Détermination d'une fonction au moyen d'une équation qui ne contient qu'une seule variable
    7. Propriétés remarquables de la fonction
    8. Sur une propriété remarquable d'une classe très étendue de fonctions transcendantes
    9. Extension de la théorie précédente
    10. Sur la comparison des fonctions transcendantes
    11. Sur les fonctions génératrices et leurs déterminantes
    12. Sur quelques intégrales definies
    13. Théorie des transcendantes elliptiques
    14. Note sur la fonction
    15. Démonstration de quelques formules elliptiques
    16. Sur les séries
    17. Mémoire sur les fonctions transcendantes
    18. Sur la résolution algébrique des équations
    19. Fragmens sur les fonctions elliptiques
    20. Extraits de quelques lettres à Holboe
    21. Extrait d'une lettre à Hansteen
    22. Extraits de quelques lettres à Crelle
    23. Lettre à Legendre
    Table pour faciliter la recherche des citations.

  • Author

    Niels Henrik Abel


    L. Sylow

    S. Lie

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