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


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 < ∞.


Power Series Unit Ball Formal Power Series Residue Field Bernoulli Polynomial 
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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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