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.Walter Rudin is the author of 'Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics)', published 1976 under ISBN 9780070542358 and ISBN 007054235X.