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 in progress hosted by the American Mathematical Society as a service to researchers, teachers and students. These draft works include course notes, textbooks, and research expositions in progress. They have not been published elsewhere, and, as works in progress, are subject to significant revision. Visitors are encouraged to download and use 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
  • Mary Pugh | University of Toronto
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University



Showing 1 - 5 of 107 result(s)

A survey of classical and modern geometries: Version 1.5

A textbook in geometry from the perspective of an algebraist. Originally published in 2000, currently out of print and under revision.

Arthur Baragar · University of Nevada, Las Vegas · Date posted: June 26, 2020

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Weil cohomology in practice

A survey of the Weil conjectures, their applications, and the approaches them via etale and p-adic cohomologies.

Kiran Kedlaya · University of California, San Diego · Date posted: June 22, 2020 · Date revised: June 23, 2020

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Complex Sequences & Series

Notes for a first-year undergraduate course on sequences and series of complex numbers, with applications to differential equations.

Scott Corry · Lawrence University · Date posted: June 22, 2020

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Introduction to Abstract Algebra

This book, or more accurately, these lecture notes, originated in the
class notes that I compiled when I taught the two-semester sequence on
Abstract Algebra at Florida Atlantic University for the 2019 -- 2020 academic year. It consists primarily of the notes from my
lectures plus material that was added for completeness.

The purpose is to provide an introduction to the theory of abstract
algebra with the goal of laying a solid foundation for future study of
algebraic topics.

Timothy Ford · Florida Atlantic University · Date posted: June 14, 2020

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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.

Juan Antonio Navarro Gonzalez · Universidad de Extremadura · Date posted: April 10, 2020

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Showing 1 - 5 of 107 result(s)