Open Math Notes

Resources and inspiration for math instruction and learning

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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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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.

Andrew Baker
University of Glasgow

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Open Math Notes authors welcome substantive, useful feedback that helps them develop and improve their notes. Comments submitted through this site may be posted on the Open Math Notes web pages next to the appropriate Note.

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