Teorema de Green e suas aplicações

Abstract

This monograph addresses as its main theme Green’s Theorem, a sophisticated result that shows an equality relation between a double integral of a region and a line integral around it. With a more didactic explanation, we show some previous concepts which may help in understanding the theorem and that are fundamental for its development. Then, we present the theorem, the regions to which we can apply it, its applications and the results that derive from its study. Finally, we conclude with the importance of the theorem and considerations about the way the text was developed.