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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


Peter Philip
LMU Munich
MR ID: 639375
Reference #


Posted date
2022-04-07 19:10:35
Revised date
2023-03-05 11:07:58
Notes type
   Standard Course Offering
   Numerical Analysis

Numerical Mathematics I

Introductory course on Numerical Mathematics: Includes Landau symbols, operator norms, condition, polynomial interpolation over general fields, spline interpolation, numerical integration, Cholesky and QR decomposition for linear systems, Newton's method, methods for eigenvalues and minimization. Appendix includes floating point arithmetic, rounding, discrete Fourier transform, fast Fourier transform, trigonometric interpolation, derivative-free minimization, and code for implementations in R.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v3 PDF (2.2M) 03/06/23