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" Measure theory and fine properties of functions / "
Lawrence C. Evans, Ronald F. Gariepy.
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BL
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| Record Number
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850929
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| Main Entry
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Evans, Lawrence C.,1949-
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| Title & Author
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Measure theory and fine properties of functions /\ Lawrence C. Evans, Ronald F. Gariepy.
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| Edition Statement
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Revised edition.
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| Publication Statement
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Boca Raton, FL :: CRC Press,, [2015]
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, ©2015
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| Series Statement
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Textbooks in Mathematics
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| Page. NO
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1 online resource (xiv, 296 pages) :: illustrations.
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| ISBN
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1482242397
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: 9781482242393
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1482242389
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9781482242386
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| Notes
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"A Chapman & Hall book."
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| Bibliographies/Indexes
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Includes bibliographical references (pages 289-291).
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| Contents
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General Measure Theory -- Hausdorff Measures -- Area and Coarea Formulas -- Sobolev Functions -- Functions of Bounded Variation, Sets of Finite Perimeter -- Differentiability, Approximation by C1 Functions.
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| Abstract
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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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| Subject
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Functional analysis.
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Measure theory.
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Functional analysis.
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MATHEMATICS-- Calculus.
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MATHEMATICS-- Mathematical Analysis.
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Measure theory.
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| Dewey Classification
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515/.42
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| LC Classification
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QA325.E92 2015
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| Added Entry
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Gariepy, Ronald F.
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