商品簡介
Updated throughout, the new edition of this classic textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Along with a quick review of abstract measure theory, the book covers theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation.
作者簡介
Lawrence Craig Evans, University of California, Berkeley, USA
Ronald F. Gariepy, University of Kentucky, Lexington, USA
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