Items related to Measure Theory and Fine Properties of Functions (Textbooks...
Synopsis
This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space, with emphasis upon the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.
Measure Theory and Fine Properties of Functions, Second Edition includes many interesting items working mathematical analysts need to know, but are rarely taught. Topics covered include a review of abstract measure theory, including Besicovitch’s covering theorem, Rademacher’s theorem (on the differentiability a.e. of Lipschitz continuous functions), the 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).
The 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. The authors assume readers are at least fairly conversant with both Lebesgue measure and abstract measure theory, and the expository style reflects this expectation. The book does not offer lengthy heuristics or motivation, but as compensation presents all the technicalities of the proofs.
This new Second Edition has been updated to provide corrections and minor edits from the previous Revised Edition, with countless improvements in notation, format and clarity of exposition. Also new is a section on the sub differentials of convex functions, and in addition the bibliography has been updated.
"synopsis" may belong to another edition of this title.
About the Author
Lawrence C. Evans, University of California, Berkeley, USA
Ronald F. Gariepy, University of Kentucky, Lexington, USA
"About this title" may belong to another edition of this title.
- PublisherChapman and Hall/CRC
- Publication date2025
- ISBN 10 103294644X
- ISBN 13 9781032946443
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages340
Search results for Measure Theory and Fine Properties of Functions (Textbooks...
Stock Image
Measure Theory and Fine Properties of Functions
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 48313246-n
Quantity: 3 available
Stock Image
MEASURE THEORY AND FINE PROPERTIES OF F
Seller: Speedyhen, London, United Kingdom
Seller rating 5 out of 5 stars
Condition: NEW. Seller Inventory # NW9781032946443
Quantity: 2 available
Stock Image
Measure Theory and Fine Properties of Functions
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 48313246
Quantity: 3 available
Stock Image
Measure Theory and Fine Properties of Functions, Revised Edition
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. New copy - Usually dispatched within 4 working days. 790. Seller Inventory # B9781032946443
Quantity: 1 available
Stock Image
Measure Theory and Fine Properties of Functions (Textbooks in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781032946443_new
Quantity: Over 20 available
Stock Image
Measure Theory and Fine Properties of Functions (Hardcover)
Seller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space, with emphasis upon the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.Measure Theory and Fine Properties of Functions, Second Edition includes many interesting items working mathematical analysts need to know, but are rarely taught. Topics covered include a review of abstract measure theory, including Besicovitchs covering theorem, Rademachers theorem (on the differentiability a.e. of Lipschitz continuous functions), the area and coarea formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Aleksandrovs theorem (on the twice differentiability a.e. of convex functions).The 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. The authors assume readers are at least fairly conversant with both Lebesgue measure and abstract measure theory, and the expository style reflects this expectation. The book does not offer lengthy heuristics or motivation, but as compensation presents all the technicalities of the proofs.This new Second Edition has been updated to provide corrections and minor edits from the previous Revised Edition, with countless improvements in notation, format and clarity of exposition. Also new is a section on the sub differentials of convex functions, and in addition the bibliography has been updated. This popular textbook 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781032946443
Quantity: 1 available
Stock Image
Measure Theory and Fine Properties of Functions, Revised Edition
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 410734602
Quantity: 3 available
Stock Image
Measure Theory and Fine Properties of Functions
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 48313246
Quantity: 3 available
Stock Image
Measure Theory and Fine Properties of Functions (Textbooks in Mathematics)
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: Brand New. 2nd revised edition. 344 pages. 9.18x6.12x9.21 inches. In Stock. Seller Inventory # __103294644X
Quantity: 1 available
Seller Image
Measure Theory and Fine Properties of Functions
Published by
Taylor & Francis Ltd Mär 2025, 2025
ISBN 10: 103294644X
ISBN 13: 9781032946443
New
Hardcover
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. Neuware - This popular textbook 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. Seller Inventory # 9781032946443
Quantity: 2 available