The Elements of Integration and Lebesgue Measure

Robert G. Bartle

Robert G. Bartle
The Elements of Integration and Lebesgue Measure [PDF ebook]

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Pokrywa Robert G. Bartle: The Elements of Integration and Lebesgue Measure (PDF)

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.

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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.

O autorze

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

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Język Angielski ● Format PDF ● Strony 192 ● ISBN 9781118164488 ● Rozmiar pliku 5.8 MB ● Wydawca John Wiley & Sons ● Opublikowany 2011 ● Ydanie 1 ● Do pobrania 24 miesięcy ● Waluta EUR ● ID 2354654 ● Ochrona przed kopiowaniem Adobe DRM

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