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.
The Euler Archive is an online resource for Leonhard Euler's original works and modern Euler scholarship. This dynamic library and database provides access to original publications, and references to available translations and current research.
At 86, Britain’s preeminent mathematical matchmaker is still tackling the big questions and dreaming of a union between the quantum and the gravitational forces
Until two days back, the name, Alexandre Grothendieck, was vaguely familiar to me through my distant understanding of the mathematics he had done. I knew that he was responsible for a lot of upheavals in that field during the last century; other than that, Grothendieck remained very much outside the purview of my knowledge. Yesterday…
Here is my collection of links to Combinatorics videos, which I assembled over the years, and recently decided to publish. In the past few years the number of videos just exploded. We clearly live in a new era. This post is about how to handle the transition. What is this new collection? I selected over 400…
Writing a mathematical paper is both an act of recording mathematical content and a means of communication of one's work. In contrast with other types of writing, the style of math papers is incredibly rigid and resistant to even modest innovation. As a result, both goals suffer, sometimes immeasurably. The clarity suffers the most, which…