2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94553We collect some classical results related to analysis on the Riemann surfaces. The notes may serve as an introduction to the field: we suppose that the reader is familiar only with the basic facts from topology and complex analysis. the treatment is organized to give a background for further applications to non-linear differential equations.31 pages, lectures given at "First non-orthodox school on Non-linearity and geometry", sept 21-28, 1995, WarsawExactly Solvable and Integrable Systemstext