#measure-theory

28. Measure and Integration

This volume develops measure theory and integration in a general setting. It extends classical calculus to more flexible notions of size, convergence, and integrability. Part I. Measure Spaces Chapter 1. Sigma-Algebras 1.1 Definitions and examples 1.2 Generated sigma-algebras 1.3 Measurable sets 1.4 Borel sets 1.5 Constructions Chapter 2. Measures 2.1 Definition of a measure 2.2 Finite and sigma-finite measures 2.3 Counting and Lebesgue measures 2.4 Measure properties 2.5 Examples Chapter...