MATH 455 — Honours Analysis 4

Review of point-set topology: topological spaces, dense sets, completeness, compactness, connectedness and path-connectedness, separability, Baire category theorem, Arzela-Ascoli theorem, Stone-Weierstrass theorem..Functional analysis: L^p spaces, linear functionals and dual spaces, Hilbert spaces, Riesz representation theorems. Fourier series and transform, Riemann-Lebesgue Lemma,Fourier inversion formula, Plancherel theorem, Parseval’s identity, Poisson summation formula.

• Rating: 3.67 out of 5 from 57 student reviews
• Difficulty: 4.33 out of 5
• Credits: 3
• Faculty: Faculty of Science
• Department: Mathematics and Statistics
• Prerequisite: MATH 454 or equivalent.