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: Ronald F. Gariepy, Lawrence C. Evans
Publication date: 1992
Publisher: Routledge
Format: Hardcover 280 pages
FREE US shipping
Rent
35 days
from $28.71 USD
FREE shipping on RENTAL RETURNS
Buy

From $35.73

Rent

From $28.71

Book details

ISBN-13: 9780849371578
ISBN-10: 0849371570
Edition: 1
Author: Ronald F. Gariepy, Lawrence C. Evans
Publication date: 1992
Publisher: Routledge
Format: Hardcover 280 pages

Summary

Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics) (ISBN-13: 9780849371578 and ISBN-10: 0849371570), written by authors Ronald F. Gariepy, Lawrence C. Evans, was published by Routledge in 1992. With an overall rating of 4.4 stars, it's a notable title among other Applied (Mathematics) books. You can easily purchase or rent Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics) (Hardcover, Used) from BooksRun, along with many other new and used Applied books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.87.

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.

Rate this book Rate this book

We would LOVE it if you could help us and other readers by reviewing the book