商品簡介
Ambrosio and Tilli's (mathematics, Scuola Normale Superiore, Pisa) textbook is based on a course given by Ambrosio at the Scuola in 1998-1999, presenting the main mathematical prerequisites needed for the "analysis in metric spaces" and to understand several recent research papers on the topic. Coverage includes abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, and Sobolev spaces--all developed in a general metric setting; detailed discussion of the geodesic problem and Gromov-Hausdorff convergence; and an overview of the theory of integration with respect to nondecreasing set functions. For use in a one-semester, postgraduate course, or as a reference for researchers. Annotation c2004 Book News, Inc., Portland, OR (booknews.com)
