1.

Record Nr.

UNINA9910830765903321

Autore

Bartle Robert Gardner <1927->

Titolo

The elements of integration and Lebesgue measure [[electronic resource] /] / Robert G. Bartle

Pubbl/distr/stampa

New York, : Wiley, 1995

ISBN

1-283-27394-2

9786613273949

1-118-16447-4

1-118-16448-2

Edizione

[Wiley classics library ed.]

Descrizione fisica

1 online resource (194 p.)

Collana

Wiley classics library

Disciplina

515.8

Soggetti

Integrals, Generalized

Measure theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 175-176) and index.

Nota di contenuto

The Elements of Integration and Lebesgue Measure; Contents; The Elements of Integration; 1. Introduction; 2. Measurable Functions; 3. Measures; 4. The Integral; 5. Integrable Functions; 6. The Lebesgue Spaces Lp; 7. Modes of Convergence; 8. Decomposition of Measures; 9. Generation of Measures; 10. Product Measures; The Elements of Lebesgue Measure; 11. Volumes of Cells and Intervals; 12. The Outer Measure; 13. Measurable Sets; 14. Examples of Measurable Sets; 15. Approximation of Measurable Sets; 16. Additivity and Nonadditivity; 17. Nonmeasurable and Non-Borel Sets; References; Index

Sommario/riassunto

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Rob