Analysis of Functions of a Single Variable A Detailed Development I originally designed this book for a one-semester course for senior math majors. Of course it was and is too long and probably too hard for most such students, so I now suggest it for first-year grad students. Of course, you are all welcome to use it however you wish. I think it's a damn good presentation of basic analysis, and I hope you will find it useful. I will be revising and updating this material every time I learn of a mistake, an improvement, or an important addition. Please let me know of any such suggestions you have. As you see, you can download chapters individually, or you can grab the entire book.

In addition, the entire book is available at this cnx.org site.

Thanks for looking,

LB

Title Page

Preface

Table of Contents

Chapter I, The Real and Complex Number Systems

Chapter II, The Limit of a Sequence

Chapter III, Functions and Continuity

Chapter IV, Differentiation

Chapter V, Integration

Chapter VI, Integration over Smooth Curves

Chapter VII, The Fundamental Theorem of Algebra

Appendix, Existence and Uniqueness of a Complete Ordered Field

Email address: **baggett at euclid.colorado.edu **

Last modified, 1 February 2012