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OverviewThis book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult problems. Full Product DetailsAuthor: Hari Bercovici , Arlen Brown , Carl PearcyPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2016 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 5.915kg ISBN: 9783319290447ISBN 10: 3319290444 Pages: 300 Publication Date: 04 April 2016 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsRings of sets.- Measurability.- Integrals and Measures.- Convergence Theorems for Lebesgue Integrals.- Existence and Uniqueness of Measures.- Signed Measures, Complex Measures and Absolute Continuity.- Measure and Topology.- Product Measures.- The Lp Spaces.- Fourier Analysis.- Standard Measure Spaces.ReviewsThe book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones. (Oscar Blasco, zbMATH 1337.28001, 2016) “The book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones.” (Oscar Blasco, zbMATH 1337.28001, 2016) Author InformationHari Bercovici is a Professor in the Department of Mathematics at Indiana University Bloomington. His research interests include functional analysis, operator theory, and free probability. Carl Pearcy is an Emeritus Professor in Mathematics at Texas A&M University. His research interest is in functional analysis. Tab Content 6Author Website:Countries AvailableAll regions |
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