# THE IMPLICIT AND THE INVERSE FUNCTION THEOREMS: EASY PROOFS

@article{Oliveira2012THEIA, title={THE IMPLICIT AND THE INVERSE FUNCTION THEOREMS: EASY PROOFS}, author={Oswaldo Rio Branco de Oliveira}, journal={Real analysis exchange}, year={2012}, volume={39}, pages={207-218} }

This article presents simple and easy proofs of the Implicit Function Theorem and the Inverse Function Theorem, in this order, both of them on a finite-dimensional Euclidean space, that employ only the Intermediate Value Theorem and the Mean-Value Theorem. These proofs avoid compactness arguments, the contraction principle, and fixed-point theorems. Mathematics Subject Classification: 26B10, 26B12, 97I40, 97I60

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