The elements of real analysis /

Bartle, Robert G.,

The elements of real analysis / Robert G. Bartle. - New York : John Wiley & Sons Inc., 1964 - xiv, 447p. : ill. ; 23 cm.

Includes bibliographical references (pages 175-176) and index.

Front Matter -- The Elements of Integration. Introduction -- Measurable Functions -- Measures -- The Integral -- Integrable Functions -- The Lebesgue Spaces L -- Modes of Convergence -- Decomposition of Measures -- Generation of Measures -- Product Measures -- The Elements of Lebesgue Measure. Volumes of Cells and Intervals -- The Outer Measure -- Measurable Sets -- Examples of Measurable Sets -- Approximation of Measurable Sets -- Additivity and Nonadditivity -- Nonmeasurable and Non-Borel Sets -- References -- Index.

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The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T.W. Anderson The Statistical Analysis of Time Series T.S. Arthanari and Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T.J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Rob.


Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2011.


Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212

10.1002/9781118164471 Wiley InterScience http://www3.interscience.wiley.com 9E67FD59-C64D-47A5-BAAE-37575CCB4636 OverDrive, Inc. http://www.overdrive.com


Generalized integrals
Measure theory.
Mathematics
Real numbers
Convergence
Integration
Continuous functions
Infinite series


Electronic books.

QA 312 / .B37 1964
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