Preface v Chapter 0. Introduction 1 x0.1. Linear partial di erential equations 1 Chapter 1. A rst look at Banach and Hilbert spaces 5 x1.1. Warm up: Metric and topological spaces 5 x1.2. The Banach space of continuous functions 14 x1.3. The geometry
In this book I present an analysis course which I have teach to first year graduate students at the Univereity of Wisconsin since 1962. The course was developed for two reasons. The first was a belief that one could present the basic techniques and
