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Ultrametric Calculus: An Introduction to p-Adic Analysis Book

Ultrametric Calculus: An Introduction to p-Adic Analysis
Ultrametric Calculus: An Introduction to p-Adic Analysis, , Ultrametric Calculus: An Introduction to p-Adic Analysis has a rating of 3 stars
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  • Ultrametric Calculus: An Introduction to p-Adic Analysis
  • Written by author W. H. Schikhof
  • Published by Cambridge University Press, January 2007
  • This is an introduction to p-adic analysis, displaying the variety of applications of the subject.
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Authors

Frontispiece; Preface;

Part I. Valuations:

1. Valuations;
2. Ultrametrics;

Part II. Calculus:
3. Elementary calculus;
4. Interpolation;
5. Analytic functions;

Part III. Functions on Zp:
6. Mahler's base and p-adic integration;
7. The p-adic gamma and zeta functions;
8. van der Put's base and antiderivation;

Part IV. More General Theory of Functions:
9. Continuity and differentiability;
10. Cn -theory;
11. Monotone functions; Appendixes; Further reading; Notation; Index.


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