Evans, Lawrence C. <br/><br/>
Measure Theory and Fine Properties of Functions / 
Lawrence C. Evans and Ronald F. Gariepy 
 - Boca Raton:  CRC Press;  ©2015 
 - xiv, 299p. 
 - Textbooks in Mathematics .
<br/><br/> This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. The book covers theorems and differentiation in Rn , Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas and Sobolev functions and functions of bounded variation. This second edition includes countless improvements in notation, format and clarity of exposition. Also new are several sections describing the p-¿ theorem, weak compactness criteria in L1 and Young measure methods for weak convergence. In addition, the bibliography has been updated. 
<br/><br/><label>ISBN: </label>9781138582491 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Analysis<br/>Integral Calculus and Equations<br/>Mathematics <br/>Science 
<br/><br/><label>Dewey Class. No.: </label>515.42  / EvaM