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Measure Theory and Fine Properties of Functions, Revised Edition (Textbooks in Mathematics) by Lawrence Craig Evans (2015-04-14) - Hardcover
Synopsis
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 fine 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 3P 1589523687 St. Augustine Lilly, Melinda 3P 6059082408 Romanseke Cilmisi Capa nu ya Romanseke Cilmisi" derket Capa duyemin a "Romanseke Cilmisi" a ciroken Firat Ceweri, di nav wesanen Avesta de derket. "Ere Malina min, mina ku tistek ji dile min qetiyabe, dilsahiya min di qirika min de ma. Min nameya te di nav desten xwe de guvast, ez hedika li ser cokan runistim, min xwe li ser dev avet ser nivine xwe u ez bi iskina zarokeki giriyam." Firat Ceweri di "Romanseke cilmisi" de hemu tabuyan disikine, stil u awayen nu bi kiraseki kurmanci i spehi diceribine, trajedi u ironiye di nav hev de dihune u ciroka kurdi ber bi ciroka gerduni ve dikisine… "Her kes nikare mina Firat Ceweri bi behneke direj hunera kurteciroke bi kar bine." Der Kleine Bund, 1996 (Rojnameya almani) "Firat Ceweri niviskareki nu u balkes e." Svenska Journalen 1986 (Kovara swedi) "Firat Ceweri li ser detayen hur radiweste, fikren kur di wan de dibine u tine ber cavan. Ez bawer dikim ew e bibe hostaye pexsane." Emerike Serdar, Rya Teze, 1993 (Ermenistan) (Tanitim Bulteninden)
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