Recherches sur les fonctions elliptique.

Berlin, G. Reimer, 1827. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. II, Heft 2, pp. 101-196 (the whole Issue, Heft 2). Abel's paper: (2= titlepage to vol. II) + pp.101-181.

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First appearence of Abel's discovery of Elliptic Functions and the discovery of their double periodicity, in print. In 1826 Abel ""presented his major paper on integrals to the Academy of Science in Paris on October 1926, for publication in its journal. This opaper , ""Memoire sur und proprieté générale d'une classe tres-etendu de fonctions transcendentes"", contained Abel's great theorem. Fourier, the secretary at the time, read the introduction to the paper and then referred the paper to Legendre and Cauchy for evaluation, the latter being chiefly responsible. The paper was long and difficult, only because it contains many new ideas. Cauchy laid it aside to favour his own work. Legendre forgot about it. After Abel's death, when his fame was established, the Academy searched for the paper, found it, and published it in 1841...Abel published other papers in Crelles Journal on equations and elliptic functions (the first offered here). These appeared from 1827 on."" (Morris Kline).