The Elements of Integration and Lebesgue Measure

Robert G. Bartle (Autor)

Buch | Softcover

192 Seiten

1995
Wiley-Interscience (Verlag)
9780471042228 (ISBN)

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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.

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.

Robert Gardner Bartle was an American mathematician specializing in real analysis. He is known for writing various popular textbooks.

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.

Erscheint lt. Verlag	4.5.1995
Reihe/Serie	Wiley Classics Library
Sprache	englisch
Maße	153 x 231 mm
Gewicht	270 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780471042228 / 9780471042228
Zustand	Neuware