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Autor(en): 
  • Lawrence Craig Evans
  • Ronald F. Gariepy
  • Measure Theory and Fine Properties of Functions, Revised Edition 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht
     
    Lieferstatus:   i.d.R. innert 2-7 Tagen versandfertig
    Veröffentlichung:  April 2015  
    Genre:  Schulbücher 
    ISBN:  9781482242386 
    EAN-Code: 
    9781482242386 
    Verlag:  Taylor and Francis 
    Einband:  Gebunden  
    Sprache:  English  
    Dimensionen:  H 235 mm / B 156 mm / D  
    Gewicht:  612 gr 
    Seiten:  313 
    Illustration:  s/w. Abb. 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    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 ?n, 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 ?-? 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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