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The Implicit Function Theorem

  • Eberhard Zeidler
Part of the Applied Mathematical Sciences book series (AMS, volume 109)

Abstract

In this chapter let us consider some basic facts about the differential calculus for operators. The main strategy encompasses the following:
  1. (i)

    Differentiation means linearization.

     
  2. (ii)

    Higher derivatives correspond to multilinearization.

     

Keywords

Banach Space Open Neighborhood Chain Rule Implicit Function Theorem Differential Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Eberhard Zeidler
    • 1
  1. 1.Max-Planck-Institut für Mathematik in den Naturwissenschaften LeipzigLeipzigGermany

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