Fundamentals of Measure Theory(*)
Course topics
Algebras and sigma-algebras of subsets, the extension theorem and construction of Lebesgue’s measure on the line, general measure spaces, measurable functions and their distribution functions, integration theory, convergence theorems (Egorov’s, relations between convergence in measure and a.e. convergence), the spaces $L_1$ and $L_2$ and their completeness, signed measures, the Radon-Nikodym theorem, measures in product spaces and Fubini’s theorem.
Course Information
- University course catalogue:
- 201.1.0081
- Level:
- Advanced Undergraduate
- Credits:
- 4.0
Recently Given
- 2024–25–A (Prof. Ilan Hirshberg)
- 2023–24–A (Prof. Tom Meyerovitch)
- 2022–23–A (Prof. Victor Vinnikov)
- 2021–22–A (Prof. Ilan Hirshberg)
- 2020–21–A (Prof. Victor Vinnikov)
- 2019–20–A (Prof. Tom Meyerovitch)
- 2018–19–A (Prof. Izhar Oppenheim)
- 2017–18–A (Prof. Ilan Hirshberg)
- 2016–17–A (Prof. Tom Meyerovitch)
- 2015–16–A (Prof. Ilan Hirshberg)