A Primer of Real Analysis

by Dan Sloughter, Furman University

Preface

This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.

Update: 28 July 2009 (moved exercise on intersections of compact sets in Section 4.4))

Update: 29 July 2009 (numerous small fixes in Chapter 7)

Update: 30 July 2009 (added Exercise 2.2.11)

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Synechism

A Primer of Real Analysis