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
Holder and Minkowski's inequality
various modes of convergence
Lectures (obligatory, 1 hour per week) + seminar (optional, 1 hour 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).