The main objective of this monograph was to study geodesics on surfaces of revolution. We defined the concepts of covariant derivative, parallel transport, geodesic curves, the algebraic value of the covariant derivative, ...

This work aims to present and study Sheaf Cohomology, which is a theory used measure the obstruction of solving a problem globally when it can be solved locally. To this end, we discuss basic definitions and results from ...

The aim of this end-of-course work is to present a brief introduction to variational calculus and its applications. In this way, the development consists of recalling concepts of normed vector spaces, metric spaces and ...

In this work, we present an introduction to Metric Spaces, starting with the definition and examples, defining and understanding the primary concepts of this context, such as open and closed balls, open and closed sets as ...