New posts in inverse-function-theorem

Differentiable bijection $f:\mathbb{R} \to \mathbb{R}$ with nonzero derivative whose inverse is not differentiable

real-analysis examples-counterexamples inverse-function inverse-function-theorem

"Counterexample" for the Inverse function theorem

real-analysis examples-counterexamples inverse-function-theorem

Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem

calculus real-analysis multivariable-calculus functions inverse-function-theorem

Asking for clarification on a step for the proof of the inverse function theorem

real-analysis multivariable-calculus inverse-function-theorem

Let $M$ be a smooth manifold and let $N$ be a manifold with boundary. If $dF_{p}$ is an isomorphism, then $F\left(p\right)\in\mbox{int}M $.

differential-geometry smooth-manifolds manifolds-with-boundary inverse-function-theorem

A function with a non-zero derivative, with an inverse function that has no derivative.

calculus derivatives proof-explanation inverse-function inverse-function-theorem

Understanding the Proof of the existence of the Inverse function of a multivariable function.

real-analysis multivariable-calculus proof-explanation inverse-function-theorem