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.
Title: p-adic Numbers, p-adic Analysis, and Zeta-Functions: 58 (Graduate Texts in Mathematics)
Author: Koblitz, NEAL
ISBN: 9780387960173
Binding:
Publisher: Springer-Verlag New York Inc.
Publication Date: 1996-04-11
Number of Pages: 153
Weight: 0.3811 kg
From the reviews of the second edition:
In the second edition of this text, Koblitz presents a wide-ranging introduction to the theory of p-adic numbers and functions. ... there are some really nice exercises that allow the reader to explore the material. ... And with the exercises, the book would make a good textbook for a graduate course, provided the students have a decent background in analysis and number theory. (Donald L. Vestal, The Mathematical Association of America, April, 2011)