Real and Functional Analysis is intended to serve as a text for an analytical course taken by graduate students in their first year of study. It tackles the same issues as elementary calculus but does so in a way appropriate for individuals employing it in subsequent mathematical explorations. In this sense, it covers the same topics as elementary calculus. Because the organization strives to avoid extensive lines of logical connection, its chapters are largely autonomous from one another. This makes it possible for a course to leave out content from some chapters without affecting how content from succeeding chapters is presented.