Measure and Integration

Instructor(s)
Prof. Jeff Viaclovsky

MIT Course Number
18.125

As Taught In
Fall 2003

Level
Graduate

Description
This course will be an introduction to abstract measure theory and the Lebesgue integral. We will begin by defining the Lebesgue integral, prove the main convergence theorems, and construct Lebesgue measure in Rn. Other topics include Lp- spaces, Radon-Nikodym Theorem, Lebesgue Differentiation Theorem, Fubini Theorem, Hausdorff measure, and the Area and Coarea Formulas.

资源搬运自麻省理工学院公开课程
https://ocw.mit.edu/courses/math ... fall-2003/index.htm