P-Adic Numbers, P-Adic Analysis, Zeta-Functions (2nd edition)

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• The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.An introduction to recent work in the theory of numbers and its interrelation with algebraic geometry and analysis.