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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

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Calculus - Essential University Mathematics

Calculus

This is a much enhanced set of lecture notes presented as part of the mathematics programme in the Mathematics Department of King's College, London. The aim here is to offer a clear exposition of many of the essential results from calculus. The student is expected to be both curious and willing to persevere. This is not intended to be a cookbook of recipes but rather to present not just the what but also the why.

Ivan Wilde
retired - Maths Dept, King's College, London

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