Principles Of Mathematical Analysis

Part of the Student Series in Advanced Mathematics, this book provides a foundation in mathematical analysis. It begins with a discussion of the real number system as a complete ordered field. It also provides the topological background needed for the development of convergence, continuity, differentiation and integration. 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.