Measure theory and fine properties of functions Lawrence C. Evans and Ronald F. Gariepy. Studies in advanced mathematics.

Evans, Lawrence C.:

ISBN 10: 0849371570 / ISBN 13: 9780849371578

Published by Boca Raton, CRC Press [1992]., 1992

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 28 EVA 9780849371578 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2497524

Bibliographic Details

Title: Measure theory and fine properties of ...

Publisher: Boca Raton, CRC Press [1992].

Publication Date: 1992

Binding: Hardcover

About this title

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

About the Author:

LawrenceCraig Evans