Math 621 Measure Theory and Integration
Short Description
Math 621: Measure Theory and Integration. Instructor: Marius Ionescu (mionescu@math.cornell.edu). Office Hours: 588 Malott Hall, Monday 11:00-12:30pm …
Website: www.math.cornell.edu | Filesize: 55kb
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Math 621: Measure Theory and Integration
Instructor: Marius Ionescu (mionescu@math.cornell.edu)
Office Hours: 588 Malott Hall, Monday 11:00-12:30pm & Tuesday 3:30-4:30 pm
TA: Robyn Miller (rlm35@cornell.edu)
Office Hours: 120 Malott Hall, TBA
Course web site: http://www.math.cornell.edu/~mionescu/Teaching/Fall2007/math621.html
Overview: We will begin with Lebesgue measure and integration in Euclidean spaces
and then develop the general theory of measures and integration, including the powerful
limit theorems that are not available for Riemann integration. This will lead us to H¨older’s
and Minkowski’s inequalities and to Lp spaces.
Text: Bartle, The Elements of Integration and Lebesgue Measure, Wiley Classics Library
Edition.
Webpage: Homework assignments and other important communications will be conveyed
via the course web page:
http://www.math.cornell.edu/?mionescu/Teaching/Fall2007/math621.html
Course Outline: We will begin with Lebesgue measure on Euclidean spaces, starting
at Chapter 11 of the text and completing up to Chapter 17 in the first two weeks. We will
then return to Chapter 1 and work through to Chapter 10 if time permits. I anticipate
that we will get through about two chapters…
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