Introduction to Measure Theory and Integration

3 credits · Undergraduate

Lebesgue's theory of measure and integration. The topics include: sigma-algebras, measures, construction of measures,Lebesgue measure on the real line, measurable functions, the Lebesgue integral and convergence theorems, Lp spaces, product measures and the Fubini-Tonelli theorem. PREREQUISITES: MATH 3501.03 EXCLUSIONS: MATH 5010.03 FORMATS: Lecture