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Lädt ... Topics on analysis in metric spacesvon Luigi Ambrosio
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Based 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 maps between metric spaces, and Gromov-Hausdorff theory, all developed in a general metric setting. The existence ofgeodesics (and more generally of minimal Steiner connections) is discussed in general metric spaces and, as an application of the Gromov-Hausdorff theory, even in some cases when the ambient space is not locally compact. A brief and very general description of the theory of integration with respectto non-decreasing set functions is presented following the Di Giorgi method of using Cavalieri's formula as the definition of the integral. Keine Bibliotheksbeschreibungen gefunden. |
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Google Books — Lädt ... GenresMelvil Decimal System (DDC)514.325Natural sciences and mathematics Mathematics Topology Topology of SpaceKlassifikation der Library of Congress [LCC] (USA)BewertungDurchschnitt: Keine Bewertungen.Bist das du?Werde ein LibraryThing-Autor. |