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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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Andrea Ferretti
-
MR ID: 827445
Reference #
OMN:202003.110823

Attributes

Posted date
2020-03-12 17:08:58
Revised date
2023-09-13 03:03:25
Level
   Undergraduate
   Graduate
Notes type
   Topics Course
Topic
   Algebra
      Commutative Algebra
   Number Theory
      Algebraic Number Theory

Commutative algebra

The book is an introduction to the basic ideas of commutative algebra, as a lens through which explore other parts of the mathematical landscape, such as number theory, algebraic geometry and computational methods.

It is suitable for a semester long course on algebra at the introductory graduate level. Parts of it can be extracted to organize a shorter course at the advanced undergraduate level on algebraic number theory, or to support other texts for an introduction to computational algebra.

This title has been published as a finished book and is available at https://bookstore.ams.org/view?ProductCode=GSM/233.