Marcel Mäki: An Introduction to Differential Forms and Manifolds

Abstract.

This thesis aims to introduce the concepts of Manifolds and Differential Forms defined on Manifolds. These concepts serve as prerequisites for demonstrating a general result. Namely, the Generalized Stokes’ Theorem, for which we will provide a proof. We shall also show how two theorems from Vector Calculus can be seen as special cases of this Generalized Theorem.