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 x ∊ S if for each ε > 0 there is a δ > 0 such that
$$d'(f(x),f(y)) < \varepsilon \quad if\,d(x,y) < \delta .$$
KeywordsContinuous 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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© Springer Science+Business Media New York 1973