MATH 391 - Topics in Analysis

Credits: 3

Prerequisite: MATH 311. Topics vary but can include complex analysis, topology, differential equations, differential topology, numerical analysis, functional analysis, measure theory, fractal geometry, Lebesgue integration and Fourier analysis, harmonic analysis, and analytic number theory. May be repeated for degree credit if the topic is different.

Winter 2020, MATH 391A-01: Topic: Functional Analysis (3). Prerequisite: MATH 311. An introduction to the basic topics in functional analysis including metric spaces, normed spaces, and the fundamental examples and topological properties of these spaces. The course is focused on finite- and infinite-dimensional normed spaces, Hilbert spaces, and Banach spaces, with an emphasis on the linear properties and structure of the spaces and the operators on these spaces. Beanland.