The aim of this course is to provide quick and practical introduction to abstract concepts of Lebesgue measure and integration. More advanced course on Measure Theory is offered in the third year.
Main subjects of this course are:
* measurable sets and function
* Lebesgue integral
* Lp spaces
* Holder and Minkowski's inequality
* various modes of convergence
1 per week
Homework assignments (30%) + written exam (70%).
- Lecture notes
- Donald L. Cohn, Measure Theory ISBN: 978-1-4614-6955-1 (Print) 978-1-4614-6956-8 (Online) (available as e-book via Leiden University Library).
Lectures (obligatory, 1 hour per week) + seminar (optional, 1 hour per week)