Abstract
This chapter provides an overview of measure and integration and presents various theorems and definitions. In 1904, Henri Lebesgue introduced a generalization of the notion of length, which is both intuitive and has many applications, extensions, and abstractions. The chapter reviews outer measures and measurability and rings and additivity. It also discusses the Lebesgue integration and the Lebesgue's monotone convergence theorem used in many practical and theoretical situations. The chapter also reviews various problems on convergence.
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