Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Ignasi Mundet i Riera[en] Maxwell’s equations are one of the cornestones of physics. In this essay, we describe how these equations can be expressed in terms of differential forms. For this purpose, we present some results on smooth, riemannian and pseudo-riemannian manifolds in order to make this reformulation easier to understand.