Measure Theory and Fine Properties of Functions, Revised Edition
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Measure Theory and Fine Properties of Functions, Revised Edition: (Textbooks in Mathematics)
Measure Theory and Fine Properties of Functions, Revised Edition: (Textbooks in Mathematics)

Measure Theory and Fine Properties of Functions, Revised Edition: (Textbooks in Mathematics)


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About the Book

This book 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.

Table of Contents:
General Measure Theory. Hausdorff Measures. Area and Coarea Formulas. Sobolev Functions. Functions of Bounded Variation, Sets of Finite Perimeter. Differentiability, Approximation by C1 Functions. Bibliography.

About the Author :
Lawrence Craig Evans, University of California, Berkeley, USA Ronald F. Gariepy, University of Kentucky, Lexington, USA

Review :
"This is a new revised edition of a very successful book dealing with measure theory in Rn and some special properties of functions, usually omitted from books dealing with abstract measure theory, but which a working mathematician analyst must know. … The book is clearly written with complete proofs, including all technicalities. … The new edition benefits from LaTeX retyping, yielding better cross-references, as well as numerous improvements in notation, format, and clarity of exposition. The bibliography has been updated and several new sections were added … this welcome, updated, and revised edition of a very popular book will continue to be of great interest for the community of mathematicians interested in mathematical analysis in Rn." —Studia Universitatis Babes-Bolyai Mathematica, 60, 2015


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Product Details
  • ISBN-13: 9781040071892
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman and Hall
  • Language: English
  • ISBN-10: 1040071899
  • Publisher Date: 17 Apr 2015
  • Binding: Digital (delivered electronically)
  • Series Title: Textbooks in Mathematics


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Measure Theory and Fine Properties of Functions, Revised Edition: (Textbooks in Mathematics)
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