Aproximação em análise real: A fórmula de Taylor e o método de Newton

Abstract

The main goal of this work is to carry out a bibliographic and theoretical study on two approximation methods in real analisys: Taylor's formula and Newton's method. Initially, we present a brief historical review of the development of Calculus/Analysis and the emergence of our objects of study. Essential concepts and necessary results for the development of the work will be stated and the approximation techniques will be presented in a slightly more detailed way, together with one or more applications.