MATH 8100/8105

Real Analysis I

Measure and integration theory with relevant examples from Lebesgue integration, Hilbert spaces (only with regard to L^2), L^p spaces and the related Riesz representation theorem. Hahn, Jordan and Lebesgue decomposition theorems, Radon-Nikodym Theorem and Fubini's Theorem.

Course carries 3 credit hours; students must also enroll for MATH 8105 for 1 credit hour.

Credit Hours:
4
Prerequisites:
MATH 4100/6100
Corequisites:
MATH 8105
Level: