This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core o

Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It i

This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offe

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the na

Abstract analysis, and particularly the language of normed linear spaces, now lies at the heart of a major portion of modern mathematics. Unfortunately, it is a