This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literat

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the publi

This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector space

This text is for a beginning graduate course in real variables and functional analysis. It assumes that the student has seen the basics of real variable theory