The elements of integration and Lebesgue measure
Robert G. Bartle.
Wiley classics library ed.
New York : Wiley, 1995.
x, 179 págs. ; 23 cm.
Serie: Wiley classics library
ISBN: 0471042226
"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.
Reseña: MathSciNet, 95k:28001
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.
- 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.
