MATH631
Real Analysis II
Prerequisite: MATH630. Abstract measure and integration theory, metric spaces, Baire category theorem and uniform boundedness principle, Radon-Nikodym theorem, Riesz Representation theorem, Lebesgue decomposition, Banach and Hilbert Spaces, Banach-Steinhaus theorem, topological spaces, Arzela-Ascoli and Stone-Weierstrass theorems, compact sets and Tychonoff's theorem. Offered Spring only.
Spring 2024
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3.04
Spring 2023
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5.00
Past Semesters
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4.78
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3.84
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2.83