A Basic Course in Real Analysis

Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this text explains the hows and whys of real analysis and provides guidance that makes students think at every stage. It offers insight into how a typical mathematician works¿observing patterns, conducting experiments, looking at or creating examples, understanding underlying principles, coming up with guesses or conjectures, and rigorously proving them.