Graduate Texts in Mathematics

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

Authors: Koblitz, Neal

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About this Textbook

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).

Reviews

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)


Table of contents (5 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4612-1112-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-0-387-96017-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-1-4612-7014-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
p-adic Numbers, p-adic Analysis, and Zeta-Functions
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
58
Copyright
1984
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1112-9
DOI
10.1007/978-1-4612-1112-9
Hardcover ISBN
978-0-387-96017-3
Softcover ISBN
978-1-4612-7014-0
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XII, 153
Topics