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Differentiation

  • Alain M. Robert
Part of the Graduate Texts in Mathematics book series (GTM, volume 198)

Abstract

Calculus in the p-adic domain is rather straightforward. Let us emphasize, however, that:

  • A function with a continuous derivative is not necessarily strictly differentiable.

  • The mean value theorem is valid provided the increment is small enough: |h| ≤ r p .

  • The radius of convergence of the exponential series is r p < ∞.

Keywords

Power Series Unit Ball Formal Power Series Residue Field Bernoulli Polynomial 
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 2000

Authors and Affiliations

  • Alain M. Robert
    • 1
  1. 1.Institut de MathématiquesUniversité de NeuchâtelNeuchâtelSwitzerland

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