Basic Analysis I: Introduction to Real Analysis, Volume I

A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces. Originally developed to teach Math 444 at University of Illinois at Urbana-Champaign and later enhanced for Math 521 at University of Wisconsin-Madison and Math 4143 at Oklahoma State University. See https://www.jirka.org/ra/ or https://jirilebl.github.io/ra/