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This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author's engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to...

Written in an engaging style that renders complex concepts accessible to a wide readership, and with more than 450 exercises, this textbook introduces the basics of real analysis as well as more advanced topics such as measure theory and Lebesgue integration.