p-adic Numbers, p-adic Analysis, and Zeta-Functions

Graduate Texts in Mathematics #58

by Neal Koblitz

Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).

Genres: Mathematics

168 pages, Paperback

First published January 1, 1977

Reviews

[Emily · Rating 4 out of 5]

Okay so truthfully I didn’t follow most of the later chapters. I’m far more an algebraist than an analyst, so the analysis was a bit lost on me. But chapter 1 was a great introduction to p-adic numbers and I definitely understand them better than I did before. Some good exercises which I found helpful, and (while as I said I struggled with some of the content) the writing was good and readable.