This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and 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), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions). Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.
"synopsis" may belong to another edition of this title.
LawrenceCraig Evans
"About this title" may belong to another edition of this title.
FREE shipping within U.S.A.
Destination, rates & speedsFREE shipping from United Kingdom to U.S.A.
Destination, rates & speedsSeller: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condition: Good. 1. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. Seller Inventory # 0849371570-11-1
Quantity: 1 available
Seller: HPB-Red, Dallas, TX, U.S.A.
Hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_379576125
Quantity: 1 available
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Hardcover. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.2. Seller Inventory # G0849371570I3N00
Quantity: 1 available
Seller: Book Alley, Pasadena, CA, U.S.A.
hardcover. Condition: Very Good. Minor age discoloration to covers, otherwise clean and tight and appears to be unused. No dust jacket, as issued. Seller Inventory # mon0000682947
Quantity: 1 available
Seller: UK BOOKS STORE, London, LONDO, United Kingdom
Condition: New. Brand New! Fast Delivery US Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 7-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Seller Inventory # CB 9780849371578
Quantity: 1 available
Seller: URW Books Store, CASPER, WY, U.S.A.
Condition: Brand New. Brand New! Fast Delivery, Delivery With In 7-10 working Day Only , USA Edition Original Edition. Excellent Quality, Printing In English Language, Quick delivery by FEDEX & DHL. USPS & UPS Act. Our courier service is not available at PO BOX& APO BOX. Ship from India & United States. Seller Inventory # CBSBOOKS51324
Quantity: 1 available
Seller: Books Puddle, New York, NY, U.S.A.
Condition: New. pp. 280. Seller Inventory # 26538005
Quantity: 4 available
Seller: Mispah books, Redhill, SURRE, United Kingdom
Hardcover. Condition: Like New. Like New. book. Seller Inventory # ERICA77308493715706
Quantity: 1 available
Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. Print on Demand pp. 280 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam This item is printed on demand. Seller Inventory # 8358474
Quantity: 4 available
Seller: Biblios, Frankfurt am main, HESSE, Germany
Condition: New. PRINT ON DEMAND pp. 280. Seller Inventory # 18538015
Quantity: 4 available