O teorema da função inversa.

Abstract

This work has as main objective the study on the Inverse Function Theorem, one of the most important results of the Analysis. To understand this theorem, it will be necessary to discuss the Euclidean spaces RN , which contains the definitions of continuous and differentiable appli-cations, as well as to know the Banach Fixed-Point Theorem, essential for understanding and for The proof of the inverse function theorem. We will introduce this work presenting simple concepts of the calculation of real functions of one variable, so that, in the end, we can relate these concepts to the main theorem.