Supplementary Information for

MATH 5453-001, Fall 2009

(Last updated on 3 November 2009)

Some basic notation and terminology to be used in the course (posted 08/24/09)

 

Quick review of the Riemann integral (posted 09/23/09)

 

The essentials of algebras, σ-algebras, and measures (posted 09/23/09)

 

Extensions of measures (Carathéodory extension theorem) (posted 10/06/09)

 

Lebesgue-Stieltjes measures (posted 10/22/09)

 

Non-measurable sets (posted 11/03/09)