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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


Joa Weber
UNICAMP
Reference #
OMN:201808.110774

Attributes

Posted date
2018-08-22 10:00:20
Revised date
2018-08-22 10:00:20
Level
   Graduate
Notes type
   Topics Course
Topic
   Analysis
      Functional Analysis
      Geometric Analysis
   Differential Equations
      Ordinary Differential Equations
      Nonlinear Partial Differential Equations
   Geometry
      Differential Geometry

M-polyfold theory

Lecture Notes MM805 2018-1

The manuscript focusses on scale calculus recently developped by Hofer, Wysocki, and Zehnder in order to treat geometric pde's in a uniform fashion. We also provide a basic background of topology and functional analysis.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v2 PDF (2.7M) 08/22/18