Niels-Henrik Abel

Erscheinungsjahr 2012
ISBN: 978-1-108-05055-5
Verlag: Cambridge University Press

Buch, Französisch, 382 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 540 g

Reihe: Cambridge Library Collection - Mathematics

Few men in modern mathematics have had as great an impact as the Norwegian Niels Henrik Abel (1802-29), whose discoveries paved the way for several new branches of nineteenth-century mathematics. Tragically, Abel's short life was dominated by poverty and his scientific achievements were not fully recognised until after his death. This work, written by Carl Anton Bjerknes (1825-1903), was the first full biography of Abel. Originally published in 1880 and translated into French in 1885, it became a valuable resource for later Abel biographers and scholars of the history of mathematics. With insight and understanding, Bjerknes charts the progress of the talented young mathematician and gives a detailed account of Abel's work and his correspondence with other contemporary mathematicians. In particular, he examines in depth (from Abel's point of view) the dispute between Abel and his rival Jacobi relating to their discoveries of elliptic functions in the 1820s.

Autoren/Hrsg.

Bjerknes, Carl Anton

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik

Inhaltsverzeichnis

Préface
1. L'entrée à l'école
2. Difficultés des realtions
3. Nomination de Holmboe
4. Réflexions et soucis
5. Sur les grands travaux
6. Abel et Gauss
7. Départ
8. Travaux de Paris
9. Découverte de Gauss
10. La décourverte par Abel des fonctions elliptiques
11. La théorie de la transformation d'Abel
12. Théorèmes et problèmes
13. Résumé de la situation pendant l'année 1827
14. La lutte et la suite
15. Froland et la mort d'Abel
Appendice.