Real and Functional Analysis (Graduate Texts in Mathematics, 142)

Real and Functional Analysis (Graduate Texts in Mathematics, 142)

<P>This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.</P>