MATH 5010.03: Introduction to Measure Theory and Integration.

A discussion of Lebesgue's theory of measure and integration. The topics include: the extended real number system, the definition of measurable sets, Lebesgue measure and the existence of non-measurable sets, the Lebesgue integral, differentiation of monotonic functions (e.g. the Cantor function), absolute continuity, the classical Lebesgue spaces.

PREREQUISITES: MATH 3500.06
CROSS-LISTINGS: MATH 4010.03

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