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Topics on Analysis in Metric Spaces Build Your Own Electric Bicycle through the process of creatingBased on lecture notes from the Scuola Normale this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate level short course for applied mathematicians and engineers. The book covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, lower semicontinuity of the one dimensional Hausdorff measure, Sobolev spaces of
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