Real Analysis I

3 credits · Undergraduate

This course is the study of measure theory, which generalizes the concept of length, area, and volume. Topics include sigma-algebras, measurable sets, measure spaces, Borel sets, product measure, Lebesgue measure, Littlewood three principle, three powerful convergence theorems: Lebesgue differentiation theorem, Tonelli's theorem, Fubini's theorem. Prerequisite: 3100. [3]