Measure theory and integration
著者
書誌事項
Measure theory and integration
（Monographs and textbooks in pure and applied mathematics, 265）
Marcel Dekker, c2004
2nd ed., rev. and expanded
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注記
Previous ed.: New York: Wiley, 1987
Includes bibliographical references and indexes
内容説明・目次
内容説明
Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications.
With more than 170 references for further investigation of the subject, this Second Edition
provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals
contains extended discussions on the four basic results of Banach spaces
presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties
details the basic properties and extensions of the Lebesgue-Caratheodory measure theory, as well as the structure and convergence of real measurable functions
covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory
Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.
目次
Introduction and Preliminaries Measurability and Measures Measurable Functions Classical Integration Differentiation and Duality Product Measures and Integrals Nonabsolute Integration Capacity Theory and Integration The Lifting Theorem Topological Measures Some Complements and Applications Appendix References Index of Symbols and Notation Author Index Subject Index
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