Open Math Notes

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Andrew Baker
University of Glasgow
MR ID: 16505
Reference #
OMN:202003.110818

Attributes

Posted date
2020-03-11 13:32:41
Revised date
2020-03-16 07:31:17
Level
   Undergraduate
   Graduate
Notes type
   Standard Course Offering
Topic
   Algebra
      Commutative Algebra
   Analysis
      Other
   Number Theory
      Algebraic Number Theory
      Elementary Number Theory
      Other

An Introduction to $p$-adic Numbers and $p$-adic Analysis

These notes were written for a final year undergraduate course at Manchester University in 1988/9. They were rewritten around 2000 to make them available to interested graduate students. The approach taken is very down to earth with few
assumptions beyond standard undergraduate analysis and algebra. The notes are as self contained as possible, covering basic number theory and analytic ideas which would probably be familiar to to more advanced readers.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (508K) 03/11/20