Measure and integration : a concise introduction to real analysis /
Richardson, Leonard F.
Measure and integration : a concise introduction to real analysis / Leonard F. Richardson. - 1 online resource (xvi, 237 pages).
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.
9780470501146 0470501146 9780470501153 0470501154 128223711X 9781282237117
10.1002/9780470501153 doi
10.1002/9780470501153 Wiley InterScience http://www3.interscience.wiley.com
Lebesgue integral
Measure theory
Mathematical analysis
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
Lebesgue integral.
Mathematical analysis.
Measure theory.
Electronic books.
QA312 / .R53 2009EBK
Measure and integration : a concise introduction to real analysis / Leonard F. Richardson. - 1 online resource (xvi, 237 pages).
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.
9780470501146 0470501146 9780470501153 0470501154 128223711X 9781282237117
10.1002/9780470501153 doi
10.1002/9780470501153 Wiley InterScience http://www3.interscience.wiley.com
Lebesgue integral
Measure theory
Mathematical analysis
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
Lebesgue integral.
Mathematical analysis.
Measure theory.
Electronic books.
QA312 / .R53 2009EBK
