Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi txt 電子書下載 2024

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Lawrence Craig Evans

CRC

1991-12-18

288 Pages

USD 169.95

Hardcover

9780849371578

圖書標籤: 測度論數學幾何測度論使勁嚼 Mathematics 幾何 measure PDE

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发表于2024-12-23

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi txt 電子書下載 2024

圖書描述

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) 下載 mobi epub pdf txt 電子書