Skip to content
Register Sign in Wishlist
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

Paperback

Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
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.

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    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

    Préface
    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

    Editors

    L. Sylow

    S. Lie

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×