MATH department

MATH 240A. Real Analysis I (4 units)

Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math240a

Description

First course in graduate real analysis. Abstract measure and integration theory, integration on product spaces. Lebesgue measure and integral, Lebesgue-Stieltjes integrals, functions of bounded variation, differentiation of measures. Locally compact Hausdorff spaces, Banach and Hilbert spaces, linear functionals. Lebesgue spaces and interpolation, elements of Fourier analysis and distribution theory. Prerequisites: graduate standing in MA75, MA76, MA77, MA80, MA81. All other students may enroll with consent of instructor.

Prerequisite courses

MATH 240A has no prerequisite courses.

Successor courses

MATH 240A is a prerequisite of the following 1 courses:

• MATH 240B