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.
A one-semester introduction-to-proofs course. Topics include elementary logic and set theory, axioms for the real numbers, sequences, functions of one variable, continuity, integration, differentiation, the fundamental theorems of calculus, and elementary transcendental functions.