TY - BOOK AU - Richardson,Leonard F. TI - Measure and integration: a concise introduction to real analysis SN - 9780470501146 AV - QA312 .R53 2009EBK PY - 2009/// CY - Hoboken, NJ PB - Wiley KW - Lebesgue integral KW - Measure theory KW - Mathematical analysis KW - MATHEMATICS KW - Calculus KW - bisacsh KW - Mathematical Analysis KW - fast KW - Electronic books KW - local N1 - BIBINDX; 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 N2 - 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 UR - https://doi.org/10.1002/9780470501153 ER -