p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics, 58) 2nd Edition by Neal Koblitz (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review 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)

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A little light reading for the holidays! P-adic Numbers, P-adic Analysis, and Zeta-Functions no less! Could you ask for anything more?

⭐Number theory is not as impenetrable as it would appear. You can learn it. Thanks to books like Neal’s which provide solutions which show whether you are on the right track or not. Many other math texts would be great if they did also but it takes work and a generous spirit on the part of the author.

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