Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi txt 电子书下载 2024

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Lawrence Craig Evans

CRC

1991-12-18

288 Pages

USD 169.95

Hardcover

9780849371578

图书标签: 测度论数学几何测度论使劲嚼 Mathematics 几何 measure PDE

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发表于2024-12-29

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi txt 电子书下载 2024

图书描述

This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the find properties of sets and functions. Topics covered include a quick review of abstract measure theory, 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. The text provides complete proofs of many key results omitted from other books, including Besicovitch's Covering Theorem, Rademacher's Theorem (on the differentiability a.e. of Lipschitz functions), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions).Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 下载 mobi epub pdf txt 电子书