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MTH 534

Basic Measure Theory

University at Buffalo 3 credits Mathematics

Course Description

Bernoulli sequences, measure zero, Strong Law of Large Numbers for Bernoulli sequences. Measure, outer measure, measurable sets, including Lebesgue measure. Measure theoretic modeling and the Borel-Cantelli lemmas. Measurable functions. The Lebesgue integral. Convergence theorems. The relation between the Riemann integral and the Lebesgue integral. Fubini¿s Theorem. Prerequisite: MTH 432 or consent of instructor

Code
MTH 534
Credits
3
Subject
Mathematics

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