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MATH 454 Honours Analysis 3 (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

Overview

Mathematics & Statistics (Sci) : Review of point-set topology: topological space, dense sets, completeness, compactness, connectedness and path-connectedness, separability. Arzela-Ascoli, Stone-Weierstrass, Baire category theorems. Measure theory: sigma algebras, Lebesgue measure and integration, L^1 functions. Fatou's lemma, monotone and dominated convergence theorem. Egorov, Lusin's theorems. Fubini-Tonelli theorem.

Terms: Fall 2022

Instructors: Jaksic, Vojkan (Fall)

  • Prerequisite: MATH 255 or equivalent.

  • Restriction: Not open to students who have taken MATH 354.

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