Difference between revisions of "Implicit function theorem"
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Revision as of 17:43, January 3, 2009
- It has been proposed that this page, :Implicit function theorem, be titled, "Implicit function theorem".
The Implicit Function Theorem is a theorem of calculus. It states that a (multiple-variable) function has many inverses hidden in different neighborhoods of the image. That is to say, the graph of the function can be finitely partitioned so that each piece has an inverse function. It is used by mathematicians for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require complex analysis for proof.