Principles of Mathematical Analysis: Third Edition (Retyped, Edited, Updated)

A modernized and updated edition of the third edition of Walter Rudin's Principles of Mathematical Analysis. The book has been retyped from scratch. The numbering for all definitions/theorems/propositions/etc. has remained the same, and an exhaustive list of the changes made can be found in a newly-added Forward. Originally created as a personal project by an anonymous group of typesetters.

Third edition description • 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.