http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
An accessible, clearly organized survey of the basic topics of measure theory for students and researchers in mathematics, statistics, and physics. In order to fully understand and appreciate advanced probability, analysis, and advanced mathematical statistics, a rudimentary knowledge of measure theory and like subjects must first be obtained. The Theory of Measures and Integration illuminates the fundamental ideas of the subject-fascinating in their own right-for both students and researchers, providing a useful theoretical background as well as a solid foundation for further inquiry. Eric Ve.
THE THEORY OF MEASURES AND INTEGRATION; Contents; Preface; Acknowledgments; 1 Set Systems; 2 Measures; 3 Extensions of Measures; 4 Lebesgue Measure; 5 Measurable Functions; 6 The Lebesgue Integral; 7 Integrals Relative to Lebesgue Measure; 8 The LpSpaces; 9 The Radon-Nikodym Theorem; 10 Products of Two Measure Spaces; 11 Arbitrary Products of Measure Spaces; References; Index.
Includes bibliographical references (pages 587-591) and index.
Hoboken, N.J. : Wiley-Interscience, ©2003