The Elements of Integration and Lebesgue Measure / Edition 1

The Elements of Integration and Lebesgue Measure / Edition 1

by Robert G. Bartle
ISBN-10:
0471042226
ISBN-13:
9780471042228
Pub. Date:
02/06/1995
Publisher:
Wiley

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Overview

The Elements of Integration and Lebesgue Measure / Edition 1

Consists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected. The latter half details the main concepts of Lebesgue measure and uses the abstract measure space approach of the Lebesgue integral because it strikes directly at the most important results—the convergence theorems.

Product Details

ISBN-13: 9780471042228
Publisher: Wiley
Publication date: 02/06/1995
Series: Wiley Classics Library Series , #56
Edition description: Wiley Classics
Pages: 179
Product dimensions: 6.00(w) x 9.09(h) x 0.40(d)

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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