The elements of integration and Lebesgue measure /

Guardado en:
Autor Principal: Bartle, Robert Gardner, 1927-
Formato: Libro
Idioma:English
Publicado: New York : Wiley, 1995.
Edición:Wiley classics library ed.
Series:Wiley classics library
Materias:
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Tabla de Contenidos:
  • 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.