THE ELEMENTS OF INTEGRATION AND LEBESQUE MEASURE

Author : ROBERT G. BARTLE
ISBN 13 : 9788126546817
ISBN 10 : 8126546816
Pages : 192
Type : P
Exclusive : EXCLUSIVE TO CBS


9788126546817

Details

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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.