Measure Theory And Fine Properties Of Functions

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  • Engels
  • Hardcover
  • 9780849371578
  • 18 december 1991
  • 288 pagina's
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Offers an 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. This book includes proofs of various key results omitted from other books, including Besicovitch's covering theorem.



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, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
18 december 1991
Aantal pagina's
288
Illustraties
Nee

Betrokkenen

Hoofdauteur
Lawrence Craig Evans
Tweede Auteur
Ronald F. Garzepy
Co Auteur
Ronald F. Gariepy
Hoofdredacteur
Lawrence Craig Evans
Tweede Redacteur
Ronald F. Gariepy
Co Redacteur
Lawrence C. Evans
Hoofduitgeverij
Taylor & Francis

Overige kenmerken

Extra groot lettertype
Nee
Product breedte
156 mm
Product lengte
234 mm
Studieboek
Nee
Verpakking breedte
155 mm
Verpakking hoogte
234 mm
Verpakking lengte
15 mm
Verpakkingsgewicht
363 g

EAN

EAN
9780849371578

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