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Lawrence Craig Evans - Measure Theory and Fine Properties of Functions, Revised Edition - 9781482242386 - V9781482242386
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Measure Theory and Fine Properties of Functions, Revised Edition

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Description for Measure Theory and Fine Properties of Functions, Revised Edition Hardback. .

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.

Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as 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 ... Read more

This revised edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the π-λ theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated.

Topics are carefully selected and the proofs are succinct, but complete. This book provides ideal reading for mathematicians and graduate students in pure and applied mathematics.

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Product Details

Publisher
Apple Academic Press Inc.
Format
Hardback
Publication date
2015
Series
Textbooks in Mathematics
Condition
New
Weight
593g
Number of Pages
314
Place of Publication
, United States
ISBN
9781482242386
SKU
V9781482242386
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-3

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

Reviews for Measure Theory and Fine Properties of Functions, Revised Edition
"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, ... Read more

Goodreads reviews for Measure Theory and Fine Properties of Functions, Revised Edition


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