Skip to Main Content

Open Math Notes

Resources and inspiration for math instruction and learning

Home Submit FAQ Contact My Notes

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


Thomas Hillen
University of Alberta
Reference #


Posted date
2023-06-07 14:26:48
Revised date
2023-06-07 14:26:48
Notes type
   Standard Course Offering
   Topics Course
      Real Analysis
      Functional Analysis
   Differential Equations
      Linear Partial Differential Equations
      Nonlinear Partial Differential Equations
   Mathematical Physics

Elements of Applied Functional Analysis

Applied Functional Analysis is a branch of mathematics that lies at the intersection
of pure mathematics and practical applications to real world problems. It explores the deep an intricate structures of function spaces, often infinite dimensional, and the mappings between them. This text provides a comprehensive introduction to powerful theories such as Banach and Hilbert spaces, linear operators, spectral theory, fixed point methods, variational calculus, and semigroup theory.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (15M) 06/07/23