Basic Ideas

  • Steven G. Krantz
  • Harold R. Parks
Part of the Modern Birkhäuser Classics book series (MBC)


In order to make this book a convenient reference, we shall endeavor to make it locally self-contained. With this thought in mind, we shall begin by presenting a very classical treatment of the implicit function theorem in Euclidean space.


Jacobian Matrix Implicit Function Theorem Unique Fixed Point Jacobian Determinant Inverse Function Theorem 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Steven G. Krantz
    • 1
  • Harold R. Parks
    • 2
  1. 1.Department of MathematicsWashington UniversitySt. LouisUSA
  2. 2.Department of MathematicsOregon State UniversityCorvallisUSA

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