Description

Book Synopsis
Designed to present the chief results of the Lebesgue theory of integration, this textbook provides students with detailed coverage of the main ideas of the Lebesgue measure. The approach is particularly well suited for students of analysis, probability and statistics.

Table of Contents
THE ELEMENTS OF INTEGRATION.

Measurable Functions.

Measures.

The Integral.

Integrable Functions.

The Lebesgue Spaces Lp.

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.

The Elements of Integration and Lebesgue Measure

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A Paperback / softback by Robert G. Bartle

15 in stock


    View other formats and editions of The Elements of Integration and Lebesgue Measure by Robert G. Bartle

    Publisher: John Wiley & Sons Inc
    Publication Date: 04/05/1995
    ISBN13: 9780471042228, 978-0471042228
    ISBN10: 0471042226
    Also in:
    Mathematics Numerical analysis

    Description

    Book Synopsis
    Designed to present the chief results of the Lebesgue theory of integration, this textbook provides students with detailed coverage of the main ideas of the Lebesgue measure. The approach is particularly well suited for students of analysis, probability and statistics.

    Table of Contents
    THE ELEMENTS OF INTEGRATION.

    Measurable Functions.

    Measures.

    The Integral.

    Integrable Functions.

    The Lebesgue Spaces Lp.

    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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