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