The third edition of this well known text continues to provide a solid
foundation in mathematical analysis for undergraduate and first-year
graduate students. The text begins with a discussion of the real number
system as a complete ordered field. (Dedekind's construction is now
treated in an appendix to Chapter I.) The topological background needed
for the development of convergence, continuity, differentiation and
integration is provided in Chapter 2. There is a new section on the
gamma function, and many new and interesting exercises are included.
This text is part of the Walter Rudin Student Series in Advanced
Mathematics.