MATH 713 Measure Theory
Measure theory provides a foundation for many branches of mathematics such as harmonic analysis, ergodic theory, theory of partial differential equations and probability theory. It is a central, extremely useful part of modern analysis. This course is an introduction to abstract measure theory and the Lebesgue integral. The Lebesgue integral is introduced, and the main convergence theorems proved. Emphasis is given to the construction of the Lebesgue measure in Rn. Other topics treated in the course are Lp-spaces, the Radon-Nikodym theorem, the Lebesgue differentiation theorem, and the Fubini theorem.
Distribution
3-0-3Offered
Fall