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Oeuvres complètes de Niels Henrik Abel

Oeuvres complètes de Niels Henrik Abel
Nouvelle édition

Volume 1


Part of Cambridge Library Collection - Mathematics

  • Date Published: August 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781108050579

£ 46.99

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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 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.

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    Product details

    • Date Published: August 2012
    • format: Paperback
    • isbn: 9781108050579
    • length: 638 pages
    • dimensions: 254 x 178 x 33 mm
    • weight: 1.09kg
    • availability: Available
  • Table of Contents

    1. Méthode générale pour trouver des fonctions d'une seule quantité variable
    2. Solution de quelques problèmes
    3. Mémoire sure les équations algébriques
    4. L'intégrale finie
    5. Petit contribution à la théorie de quelques fonctions transcendantes
    6. Recherche des fonctions de deux quantités variables
    7. Démonstration de l'impossibilité
    8. Remarque sure le mémoire no. 4
    9. Résolution d'un problème de mécanique
    10. Démonstration d'une expression de laquelle la formule binome est un cas particulier
    11. Sur l'intégration de la formule différentielle
    12. Mémoire sur une propriété générale
    13. Recherche de la quantité
    14. Recherches sur la série
    15. Sur quelques intégrales définies
    16. Recherches sur les fonctions elliptiqes
    17. Sur les fonctions qui satisfont à l'équation
    18. Note sur un mémoire de M. Olivier
    19. Solution d'un problème général
    20. Addition au mémoire précédant
    21. Remarques sur quelques propriétés générales
    22. Sur le nombre des transformations différentes
    23. Théorème général sur la transformation des fonctions elliptiques
    24. Note sur quelques formules elliptiques
    25. Mémoire sur une classe particulière d'équations
    26. Théorèmes sur les fonctions elliptiques
    27. Démonstration d'une propriété générale d'une certaine classe de fonctions transcendantes
    28. Précis d'une théorie des focntions elliptiques. 29. Théorèmes et problèmes.

  • Author

    Niels Henrik Abel


    L. Sylow

    S. Lie

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