Fundamentals of Real Analysis

Sterling K. Berberian9780387984803, 0-387-98480-1

Integration theory and general topology form the core of this textbook for a first-year graduate course in real analysis. After the foundational material in the first chapter (construction of the reals, cardinal and ordinal numbers, Zom’s Lemma, and transfinite induction), measure, integral, and topology are introduced and developed as recurrent themes of increasing depth.