Inverse function theorem: Difference between revisions

Revision as of 23:19, 28 February 2006

Revision as of 14:00, 1 March 2006

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If the derivative of ''f'' is an isomorphism at all points ''p'' in ''M'' then the map ''f'' is a [[local diffeomorphism]].

This can be expressed more clearly as <math>({{f^}/sup{-1}})'(f(a))={{1} \over {f'(a)}}</math>. Where ' indicates the derivative of the function.

[[Category:Multivariate calculus]]