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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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David Royster
University of Kentucky
Reference #
OMN:202408.111439

Attributes

Posted date
2024-08-10 03:50:48
Revised date
2024-08-10 03:50:48
Level
   Undergraduate
Notes type
   Standard Course Offering
   Topics Course
Topic
   Geometry
      Other

Non-Euclidean Geometry and a Little on How We Got Here

These notes
arise from teaching courses in geometry for more than 40 years. These were mainly classes for future secondary mathematics teachers. In speaking with educators about the class, I decided that these students should
see an axiomatic development of geometry. Instead of the formal development of Euclidean
geometry, the development of a geometry that was different from this
usual geometry might better serve them as understanding how an axiomatic mathematics system was developed.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (3.6M) 08/10/24