9780849371578-0849371570-Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics)

Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics)

ISBN-13: 9780849371578
ISBN-10: 0849371570
Edition: 1
Author: Lawrence C. Evans, Ronald F. Gariepy
Publication date: 1992
Publisher: CRC Press
Format: Hardcover 288 pages
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Book details

ISBN-13: 9780849371578
ISBN-10: 0849371570
Edition: 1
Author: Lawrence C. Evans, Ronald F. Gariepy
Publication date: 1992
Publisher: CRC Press
Format: Hardcover 288 pages

Summary

Acknowledged authors Lawrence C. Evans, Ronald F. Gariepy wrote Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics) comprising 288 pages back in 1992. Textbook and eTextbook are published under ISBN 0849371570 and 9780849371578. Since then Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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