Continuous Functions

  • Richard Beals
Part of the Graduate Texts in Mathematics book series (GTM, volume 12)


Suppose (S, d) and (S’, d’) are metric spaces. A function f: S → S’ is said to be continuous at the point xS if for each ε > 0 there is a δ > 0 such that
$$d'(f(x),f(y)) < \varepsilon \quad if\,d(x,y) < \delta .$$


Continuous Function Imaginary Part Power Series Exponential Function Order Partial Derivative 
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 1973

Authors and Affiliations

  • Richard Beals
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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