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:
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.
The aim of these notes is to provide a carefully reasoned presentation of the basic ideas of the subject so that they may be more appealing to mathematics students than is often the case.
Ivan Wilde · King's College, London (retired) · Date posted: December 30, 2023
A self-contained introduction to Functional Analysis and C*-algebras.
Warren Moors · The University of Auckland · Date posted: December 28, 2023
This is a much enhanced set of lecture notes presented as part of the mathematics programme in the Mathematics Department of King's College, London. The aim here is to offer a clear exposition of many of the essential results from calculus. The student is expected to be both curious and willing to persevere. This is not intended to be a cookbook of recipes but rather to present not just the what but also the why.
Ivan Wilde · retired - Maths Dept, King's College, London · Date posted: October 23, 2023
This book is on the presentation of the fundamental concepts in the number theory:
Len Meas · Royal University of Phnom Penh · Date posted: October 9, 2023
This is a course on the theory of statistics at the advanced undergraduate (or beginning graduate) level. The goal is to prepare students to use probability to understand statistical inference. Some more advanced topics include decision theory and its relation to Bayes procedures. There is also material on order statistics and on the bootstrap.
William Faris · University of Arizona · Date posted: October 2, 2023