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(Ebook) Measure Theory and Fine Properties of Functions, Revised Edition by Evans, Lawrence Craig; Gariepy, Ronald F ISBN 9781482242393, 9781431431458, 1431431451, 1482242397

  • SKU: EBN-5101458
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Instant download (eBook) Measure Theory and Fine Properties of Functions, Revised Edition after payment.
Authors:Evans, Lawrence Craig; Gariepy, Ronald F
Pages:313 pages.
Year:2015
Publisher:CRC Press
Language:english
File Size:1.77 MB
Format:pdf
ISBNS:9781482242393, 9781431431458, 1431431451, 1482242397
Categories: Ebooks

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(Ebook) Measure Theory and Fine Properties of Functions, Revised Edition by Evans, Lawrence Craig; Gariepy, Ronald F ISBN 9781482242393, 9781431431458, 1431431451, 1482242397

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.The text provides complet. Abstract: Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.The text provides complet
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