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2015,Measure Theory and Fine Properties of Functions, Revised Edition pdf Evans

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  • TA的每日心情
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    2016-3-19 06:18
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    [LV.4]偶尔看看III

    发表于 2015-12-7 09:32:46 | 显示全部楼层 |阅读模式
    Measure Theory and Fine Properties of Functions, Revised Edition (Textbooks in Mathematics)Apr 14, 2015
    by Lawrence Craig Evans and Ronald F. Gariepy

    1482242389.01.S001.LXXXXXXX.jpg

    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 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), area and coarea formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Aleksandrov's theorem (on the twice differentiability a.e. of convex functions).

    This revised edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the π-λ theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated.

    Topics are carefully selected and the proofs are succinct, but complete. This book provides ideal reading for mathematicians and graduate students in pure and applied mathematics.
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  • TA的每日心情
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    2017-12-15 11:07
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    [LV.7]常住居民III

    发表于 2015-12-8 00:30:27 | 显示全部楼层
    谢谢楼主分享!
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  • TA的每日心情
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    2015-2-14 16:25
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    [LV.5]常住居民I

    发表于 2015-12-8 10:29:04 | 显示全部楼层
    找这书很久了
    来自安卓客户端来自安卓客户端
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  • TA的每日心情
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    昨天 08:47
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    [LV.10]以坛为家III

    发表于 2016-1-9 09:03:33 | 显示全部楼层
    look it allllllll
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  • TA的每日心情
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    2017-2-3 19:36
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    [LV.6]常住居民II

    发表于 2016-2-3 16:48:56 | 显示全部楼层
    thanks for sharing
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    该用户从未签到

    发表于 2016-2-14 17:06:16 | 显示全部楼层
    谢谢分享,好书
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  • TA的每日心情
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    2017-1-18 14:33
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    [LV.7]常住居民III

    发表于 2016-5-8 08:52:39 | 显示全部楼层
    感谢分享。看一下测度论。
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  • TA的每日心情
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    2016-5-4 11:09
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    [LV.6]常住居民II

    发表于 2016-5-8 10:30:50 | 显示全部楼层
    楼主是好人啊
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