Hardcover. 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 p-l 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. This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. The book covers theorems Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

N� de ref. del art�culo 9781482242386

Contactar al vendedor

Denunciar este art�culo

Detalles bibliogr�ficos

T�tulo: Measure Theory and Fine Properties of Functions, Revised Edition (Hardcover)
Editor: Taylor & Francis Inc, Oakville
Fecha de publicaci�n: 2015
Idioma: Ingl�s
ISBN 10: 1482242389
ISBN 13: 9781482242386
Encuadernaci�n: Hardcover
Estado: new

Acerca de

Sinopsis

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 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.

Acerca del autor

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

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

Online business

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

ABC BOOKS LIMITED
10 John Street, London, WC1N 2EB, United Kingdom

Condiciones de venta y env�o

Condiciones de venta

Orders can be returned within 30 days of receipt.

Condiciones de env�o

Please note that titles are dispatched from our US, Canadian or Australian warehouses. Delivery times specified in shipping terms. Orders ship within 2 business days. Delivery to your door then takes 7-14 days.