George Gabriel Stokes e suas aplicações na matemática e física

Abstract

In this work we present the British mathematician and physicist George Gabriel Stokes, as well as some of his main contributions to the development of human knowledge, aiming to demonstrate the famous Stokes Theorem and its applications in Mathematics and Physics. A bibliographic study was carried out, based on the book by Chaveco (2015), scientific articles that address the subject and other calculation books. Some essential definitions of Vector Calculus are presented, for a better understanding of the theorem. Therefore, it was possible to understand with this work, an expansion of studies on vector fields, line integrals (curvilinear), surface integrals, the work carried out, concepts that are very important to arrive at the demonstration of the theorem. We also conclude that Stokes' Theorem is of fundamental importance, as it makes it possible to find significant results with great applicability in Physics, Mechanics, Chemistry, Engineering and other areas that involve the calculation of fluids.