微分形式及其应用

This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome- try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of a complete hyperbolic plane in euclidean 3-space (Hilbert’s theorem). For the present edition, we introduced a chapter on line integrals.