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Book synopsis

These notes originated from a course given by the first author in 1998/99 in the Scuola Normale Superiore of Pisa. The aim of the course was the presentation of the main mathematical prerequisites needed for the so-called Analysis in Metric Spaces. The exposition, though not fully self contained, covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, Sobolev spaces; all these topics are developed in a general metric setting. We also discuss in detail the geodesic problem and the Gromov-Hausdorff convergence. The last chapter contains a brief, but very general, description of the theory of integration with respect to nondecreasing set functions.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Selected topics on Analysis in Metric Spaces
• Author: Luigi Ambrosio, Paolo Till
• Language: English
• Binding: Paperback
• Number of pages: 133
• EAN: 9788876422652
• ISBN: 887642265X
• ID: 01967736
• Publisher: Birkhauser Verlag AG
• Weight: 324 g
• Dimensions: 242 × 171 × 14 mm
• Date of publishing: 01. October 2000

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