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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

contact


Shuyang Cheng
University of Michigan
Reference #
OMN:202505.111463

Attributes

Posted date
2025-06-18 02:49:51
Revised date
2025-06-18 02:49:51
Level
   Undergraduate
Notes type
   Standard Course Offering
Topic
   Algebra
      Linear Algebra
      Group Theory
      Other

A brief summary of polynomials and Galois theory

Notes prepared for a first course in Galois theory inspired by the classical book of Emil Artin.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (480K) 06/18/25