Real Analysis and Applications starts with a streamlined, butcomplete, approach to real analysis. It finishes with a wide variety ofapplications in Fourier series and the calculus of variations, includingminimal surfaces, physics, economics, Riemannian geometry, andgeneral relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set andfractals, calculus with the Riemann integral, a chapter...