Bartle, Robert Gardner, 1927-
The elements of integration and Lebesgue measure / Robert G. Bartle.
— Wiley classics library ed. — New York : Wiley, 1995. x, 179 p. ; 23 cm. — (Wiley classics library)
"This book consists of two separate, but closely related, parts. The first part (chapters 1-10) ... is essentially a corrected reprint of [The elements of integration. Wiley, 1966]"—Preface.
Incluye referencias bibliográficas (p. 175-176) e índice.
Contenido: The elements of integration: 1. Introduction — 2. Measurable functions — 3. Measures — 4. The integral — 5. Integrable functions — 6. The Lebesgue spaces $L_p$ — 7. Modes of convergence — 8. Decomposition of measures — 9. Generation of measures — 10. Product measures.
Contenido: 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.
ISBN 0471042226
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