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Measure and integration : a concise introduction to real analysis / Leonard F. Richardson.

By: Material type: TextTextLanguage: İngilizce Publisher: Hoboken, NJ : Wiley, 2009Copyright date: ©2009Description: 1 online resource (xvi, 237 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780470501146
  • 0470501146
  • 9780470501153
  • 0470501154
  • 128223711X
  • 9781282237117
Subject(s): Genre/Form: Additional physical formats: Print version:: Measure and integration.LOC classification:
  • QA312 .R53 2009EBK
Online resources:
Contents:
History of the subject -- Fields, Borel fields, and measures -- Lebesgue measure -- Measurable functions -- The integral -- Product measures and Fubini's theorem -- Functions of a real variable -- General countably additive set functions -- Examples of dual spaces from measure theory -- Translation invariance in real analysis -- Appendix: The Banach-Tarski theorem.
Summary: A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis. Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending coverage of both fundamental and specialized topics, this book serves as a practical and thorough introduction to measure and integration, while also facilitating a basic understanding of real analysis. The author develops the theory of measure and in.
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Holdings
Item type Current library Home library Collection Call number Status Notes Date due Barcode
E-Book E-Book Merkez Kütüphane Merkez Kütüphane E-Kitap Koleksiyonu QA312 .R53 2009EBK (Browse shelf(Opens below)) Geçerli değil-e-Kitap / Not applicable-e-Book MAT EBK01555

Includes bibliographical references and index.

History of the subject -- Fields, Borel fields, and measures -- Lebesgue measure -- Measurable functions -- The integral -- Product measures and Fubini's theorem -- Functions of a real variable -- General countably additive set functions -- Examples of dual spaces from measure theory -- Translation invariance in real analysis -- Appendix: The Banach-Tarski theorem.

A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis. Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending coverage of both fundamental and specialized topics, this book serves as a practical and thorough introduction to measure and integration, while also facilitating a basic understanding of real analysis. The author develops the theory of measure and in.

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