POINCARÉ, HENRI.

Sur les Propriétes du potentiel et sur les Fonctions Abéliennes.

(Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1898). 4to. Without wrappers as extracted from "Acta Mathematica. Hrsg. von G. Mittag-Leffler.", Bd. 22, pp. 89-178.

First edition. "As soon as he came into contact with the work of Riemann and Weierstrass on Abelian Functions and algebraic geometry, Poincaré was very much attracted by those fields. His papers on these subjects occupy in his complete works as much space as those on automorphic functions, their dates ranging from 1881 to 1911. One of his main ideas in these papers is that of "reduction" of Abelian functions. Generalizing particular cases studied b Jacobi, Weierstrass, and Picard, Poincaré proved the general "complete reducibility" theorem..."(DSB).

Order-nr.: 39135