MATS311 Real Analysis (9 cr)
Grading scale
0-5
Teaching languages
Finnish
,
English
Responsible person(s)
Tero Kilpel盲inen
Learning outcomes
.
Content
The course in concerned with measure theory in Euclidean spaces. Main topics are Hausdorff measures and dimension, differentiation of measures, absolute continuity, covering and density theorems, and maximal function.
Literature:
| ISBN-number | Author, year of publication, title, publisher |
|---|---|
| Andrew M. Bruckner, Judith B. Bruckner ja Brian S. Thomson: Real analysis, 2008; www.classicalrealanalysis.com | |
| Olli Lehto: Reaalifunktioiden teoria, Limes ry, 1969. | |
| Pertti Mattila: Geometry of sets and measures in Euclidian spaces |
Prerequisites
Measure and Integration Theory 1 and 2