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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


Jane Gilman
Rutgers University, Newark
Reference #
OMN:201810.110779

Attributes

Posted date
2018-11-08 09:44:15
Revised date
2018-11-08 09:44:15
Level
   Undergraduate
Notes type
   Standard Course Offering
Topic
   Introduction to Mathematics
      Introduction to Proofs
   Dynamical Systems and Ergodic Theory
      Continuous Time Systems
   Topology
      Point Set Topology
   Other

Introduction to Fresh Honors Notes

These notes were originally prepared by Jane Gilman and William Thurston for a Freshman Honors course offered at Princeton in 1990. The course was designed for students who had calculus but needed a course that gave them some mathematical sophistication as well as calculus review. Many of the topics are non-standard including iteration,
the "3x+1"-game, cardinal arithmetic, self-similarity and fractals, but standard topics such as power series and convergence also appear.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v2 PDF (6.6M) 11/08/18