The Implicit Function Theorem. Applications

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


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.


Banach Space Open Neighborhood Implicit Function Theorem Local Extremum Maximal Rank 
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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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