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MATH 512. Modern Analysis I. 3 Credits.

Algebras and ó - algebras, Borel sets, measures, measurable sets and Lebesgue measure, non-measurable sets, measurable functions, the definition and basic properties of the Lebesgue integral, Fatou's lemma, the monotone convergence theorem, and Lebesgue's dominated convergence theorem. Prerequisite: MATH 432.


...12 MATH 512 & MATH 513 Modern Analysis I and Modern Analysis II MATH 515 & MATH...

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