CS1 Arabic-language sources (ar)
type: Concept
wiki page ID: 43966086
wiki page revision ID: 958290395

Inverse function theorem
subject: Category:Inverse functions
wiki page edit link: http://en.wikipedia.org/w/index.php?title=Inverse_function_theorem&action=edit
wiki page ID: 287229
subject: Category:Differential topology
abstract: In mathematics, specifically differential calculus, the inverse function theorem gives a sufficient condition for a function to be invertible in a neighborhood of a point in its domain: namely, that its derivative is continuous and non-zero at the point. The theorem also gives a formula for the derivative of the inverse function.In multivariable calculus, this theorem can be generalized to any continuously differentiable, vector-valued function whose Jacobian determinant is nonzero at a point in its domain, giving a formula for the Jacobian matrix of the inverse. There are also versions of the inverse function theorem for complex holomorphic functions, for differentiable maps between manifolds, for differentiable functions between Banach spaces, and so forth.
subject: Category:Theorems in calculus
wiki page history link: http://en.wikipedia.org/w/index.php?title=Inverse_function_theorem&action=history
subject: Category:Multivariable calculus
subject: Category:Theorems in real analysis

Psychotria
wiki page ID: 12910196
wiki page revision ID: 624547042
type: Concept
broader: Category:Psychotrieae

Inverse function theorem
language: en
type: Document
contributor: Mathsci
primary topic: Inverse function theorem

Mathsci
contributor ID: 884502