THE UNIFORMIZATION PROBLEM SOLVED

POINCARÉ, HENRI.

Sur L'Uniformisation des Fonctions Analytiques.

(Berlin, Stockholm, Paris, Almqvist & Wiksell, 1907). 4to. Without wrappers as extracted from "Acta Mathematica. Hrsg. von G. Mittag-Leffler", Bd. 31, pp. 1-63.

First edition. Clebsch and Riemann tried to solve the problem of the uniformization for curves. "In 1882 Klein gave a general uniformization theorem, but the proof was not complete. In 1883 Poincaré announced his general uniformization theorem but he too had no complete proof. Both Klein and Poincaré continued to work hard to prove this theorem but no decisive result was obtained for twent-five years. In 1907 Poincare (in the offered paper) and Paul Koebe independently gave a proof of this uniformization theorem...With the theorem on uniformization now rigorously established an improved treatment of algebraic functions and their integrals has become possible." (Morris Kline).

Order-nr.: 39130