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The Inverse-Function Theorem

  • G. Baley Price

Abstract

A function f with domain A and range B is a set {(x,y):xA,yB} of ordered pairs (x,y) in A x B which satisfies the following condition [see Section 96 in Appendix 2]: if (x,y) and (x,ý are in f then ý = y. We say f maps A into B and write f:AB. If (x,y) is in f, we say y is the value of f at x and write y = f(x). Thenf is the set {(x,f(x)):xA}, and B={f(x):xA}.

Keywords

Inverse Function Affine Transformation Polygonal Curve Elementary Calculus Natural Logarithm Function 
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 New York Inc. 1984

Authors and Affiliations

  • G. Baley Price
    • 1
  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA

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