is text from various books on real analysis pertains to the choice of topics. I put much more emphasis on topics that are immediately relevant for economic theory, and omit some standard themes of real analysis that are of secondary importance for economists. In particular, unlike most treatments of mathematical analysis found in the literature, I work here quite a bit on order theory, convex analysis, optimizat ion, linear and nonlinear correspondences, dynamic programming, and calculus of variations. Moreover, apart fromdirect appli- cations to economic theory, the exposition includes quite a few ?xed point theorems, along with a leisurely introduction to di ?erential calculus in Banach spaces. (Indeed, the latter half of the text can be thought of as providing a modest introduction to x
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