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 on the Lebesguetheory, sequences of functions, infinite series, and the exponential andGamma functions
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