2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78708This lecture notes cover a Part III (first year graduate) course that was given at Cambridge University over several years on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. Problems are included.Analysis of PDEs58G15text