2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69730Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in non-smooth differential geometry. This article presents an introductory survey of recent developments in this field and highlights some applications in mathematical physics.17 pages, typos correctedFunctional AnalysisDifferential Geometry46F30;46T30;53B20text