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Measure Theory and Fine Properties of Functions, Evans, Gariepy..
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N.º de artículo de eBay:392952026678
Última actualización el 31 may 2025 14:27:57 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- PublishedOn
- 2015-01-01
- Title
- Measure Theory and Fine Properties of Functions, Revised Edition
- Artist
- Not Specified
- ISBN
- 9781482242386
Acerca de este producto
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1482242389
ISBN-13
9781482242386
eBay Product ID (ePID)
208731368
Product Key Features
Number of Pages
313 Pages
Language
English
Publication Name
Measure Theory and Fine Properties of Functions, Revised Edition
Subject
Functional Analysis, General, Algebra / General, Applied
Publication Year
2015
Type
Textbook
Subject Area
Mathematics
Series
Textbooks in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
21.7 Oz
Item Length
9.4 in
Item Width
6.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
2015-297289
Reviews
"This is a new revised edition of a very successful book dealing with measure theory in R n 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 R n ." -- Studia Universitatis Babes-Bolyai Mathematica , 60, 2015
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515.4/2
Table Of Content
General Measure Theory Measures and Measurable Functions Lusin's and Egoroff's Theorems Integrals and Limit Theorems Product Measures, Fubini's Theorem, Lebesgue Measure Covering Theorems Differentiation of Radon Measures Lebesgue Points, Approximate Continuity Riesz Representation Theorem Weak Convergence References and Notes Hausdorff Measures Definitions and Elementary Properties Isodiametric Inequality, Hn=Ln Densities Functions and Hausdorff Measure References and Notes Area and Coarea Formulas Lipschitz Functions, Rademacher's Theorem Linear Maps and Jacobians The Area Formula The Coarea Formula References and Notes Sobolev Functions Definitions and Elementary Properties Approximation Traces Extensions Sobolev Inequalities Compactness Capacity Quasicontinuity; Precise Representatives of Sobolev Functions Differentiability on Lines References and Notes Functions of Bounded Variation, Sets of Finite Perimeter Definitions, Structure Theorem Approximation and Compactness Traces Extensions Coarea Formula for BV Functions Isoperimetric Inequalities The Reduced Boundary Gauss-Green Theorem Pointwise Properties of BV Functions Essential Variation on Lines A Criterion for Finite Perimeter References and Notes Differentiability, Approximation by C1 Functions Lp Differentiability; Approximate Differentiability Differentiability a.e. for W1,p (p>n) Convex Functions Second Derivatives a.e. for Convex Functions Whitney's Extension Theorem Approximation by C1 Functions References and Notes Bibliography
Synopsis
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 n, 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 the differentiability a.e. of Lipschitz functions), area and coarea formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Aleksandrov's theorem (on the twice differentiability a.e. of convex functions). This revised edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the - 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., 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 n, 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 the differentiability a.e. of Lipschitz functions), area and coarea formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Aleksandrov's theorem (on the twice differentiability a.e. of convex functions). 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.
LC Classification Number
QA312
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- f***f (1596)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaExcellent Seller, Goes the Extra Mile. The Seller Was Incredibly Communicative. Smooth Transaction, Shipped Very Quickly, As Advertised; Good Price; Well Packaged & Delivered Within a Few Days. Item in Described Promised Condition, Thank You Very Much!!!!!!!!!!! A+
- c***c (226)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaMy book arrived in good condition. Packaging was a rigid cardboard mailer, and it protected my book well. It was shipped in a reasonable amount of time, but I was still prompted to reach out to inquire further about it. Seller communication was very good, answering me within 24-hours. I was told shipping can take 9-15 days to happen... it arrived within 10 days after purchase. I would purchase from this seller again. Two thumbs up!
- a***h (64)- Votos emitidos por el comprador.Mes pasadoCompra verificadaBook arrived as described, packed inside a cardboard envelope which I like because it protects the corners from damage in transit. Great price and arrived ahead of the estimated delivery date. I value book sellers who package this way to ensure the books arrive safely, will bookmark you guys for future book purchases.