The Implicit Function Theorem
Part of the Applied Mathematical Sciences book series (AMS, volume 109)
In this chapter let us consider some basic facts about the differential calculus for operators. The main strategy encompasses the following:
Differentiation means linearization.
Higher derivatives correspond to multilinearization.
KeywordsBanach Space Open Neighborhood Chain Rule Implicit Function Theorem Differential Calculus
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© Springer Science+Business Media New York 1995