Introduction to Real Analysis

Introduction to Real Analysis, 3rd Edition, is a textbook that addresses the minimal requirements for successful graduate study. Grounded in Manfred Stoll's experience teaching graduate courses, the volume accounts for variations in student backgrounds, abilities, and motivation.

The book presents foundational topics such as the real numbers, topology of the real line, limits, continuity, differentiation, and integration. It also introduces advanced subjects, including Fourier series and measure theory.

Chapters one through six are written to be accessible to the average student while challenging talented students through exercises. Chapters seven through ten assume prior expertise, presenting theorems, examples, and exercises that require greater mathematical maturity.