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Open Math Notes

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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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Juan Antonio Navarro Gonzalez
Universidad de Extremadura
MR ID: 129795
Reference #
OMN:202003.110821

Attributes

Posted date
2020-04-10 09:58:55
Revised date
2021-07-12 16:33:49
Level
   Undergraduate
   Graduate
Notes type
   Standard Course Offering
   Topics Course
Topic
   Algebra
      Linear Algebra
      Commutative Algebra
   Analysis
      Real Analysis
      Complex Analysis
   Geometry
      Differential Geometry
      Algebraic Geometry
   Topology
      Point Set Topology
      Algebraic Topology

Notes for a Licenciatura

These notes have the same initial aim as Bourbaki: to undertake the university teaching from the outset, with complete proofs; but without avoiding sheaves and categories, and introducing many Grothendieck ideas at the undergraduate level. They contain 15 courses on Algebra, Algebraic Geometry, Analysis, Differential Geometry and Topology, each one massively using definitions, results and ideas from the companion courses.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v2 PDF (4.1M) 07/14/21