Analysis of Functions of a Single Variable

: Lawrence Baggett

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. I also have this material in other formats, e.g., tex, dvi, or ps. My apologies to Windows users. I have heard that Internet Explorer sometimes has trouble downloading these files. Things seem to be fine with firefox or lynx. Thanks for looking,

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 VI, Integration over Smooth Curves
Chapter VII, The Fundamental Theorem of Algebra
Appendix, Existence and Uniqueness of a Complete Ordered Field

The Whole Book, 233 pp.

Email address: baggett at euclid.colorado.edu

Last modified, 29 October 2006.