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The Implicit Function Theorem. Applications

  • Jürgen Jost
Part of the Universitext book series (UTX)

Abstract

The Banach fixed point theorem is used to derive the implicit function theorem. Corollaries are the inverse function theorem and the Lagrange multiplier rules for extrema with side conditions.

Keywords

Banach Space Open Neighborhood Implicit Function Theorem Local Extremum Maximal Rank 
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-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Jürgen Jost
    • 1
  1. 1.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

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