Course: MAT 452 3.0 Measure Theory (Compulsory)
Course content:
Length of an interval, Lebesgue outer measure on real line, Caratheodory Condition, measurable sets, measures and measures spaces, Sigma algebra, Borel sets, Elementary properties of measurable functions, Properties of sequence of functions, Lebesgue integration, Lebesgue integration of nonnegative functions, Lebesgue monotone convergence theorem, Lebesgue dominated convergence theorem and Fatau’s lemma
Recommend Readings:
- Jain, P. K., & Gupta, V.P. Lebesgue measure and integration, Wiley Eastern Limited, New Delhi.