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Measure Theory (MATH-433 (BS), MATH-627(MSc))
Week 02: Lebesgue Outer measure
Week 02: Lebesgue Outer measure
Royden, H.L. and Fitzpatrick
P.M
, Real Analysis 4th ed.
(NY:Collier Macmillan Co, 2010)
Pages:
31-34
Download Files
2.pdf (0.98 MB )
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Course Material
Week 01: Introduction to Lebesgue measure
Week 02: Lebesgue Outer measure
Week 03: Properties of outermeasure
Week 04: Further properties of outer measure
Week 05: Measurable sets
Week 06: Properties of measurable sets
Week 07: Non measurable set
Week 08: Measurable functions
Week 09: Mid Term Test
Week 10: Properties of measurable functions
Week 11: Convergence of sequences of measurable functions
Week 12: Lebesuge integration, introduction
Week 13: Lebesgue integrals of simple and bounded functions
Week 14: Lebesgue integrals of non negative functions
Week 15: Lebesgue integration of general functions
Week 16: General convergence theorems
Week 17: convergence in measure
Week 18: Final Exam
Chapters
18
Department
Mathematics
Teacher
Dr. Khuram Ali Khan