books.google.com - Real Analysis builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in $\mathbb{R}^n$. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as...http://books.google.com/books/about/Real_Analysis.html?id=66SnEA5Oa7MC&utm_source=gb-gplus-shareReal Analysis