Lecture Notes in Real Analysis

This compact textbook is a collection of the authors lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the authors approach is unique in that it combines elements from both Roydens and Follands classic texts to provide a more concise and intuitive presentation. Illustrations, examples, and exercises are included that present Lebesgue integrals, measure theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand. This text can be used as a supplementary resource or for individual study.