![[feed]](/style/images/mail.png)
![[feed]](/style/images/feed-icon-14x14.png){kind=icon}
Maruša Turk (2014) Lebesgue measure and Riemann integration. Diploma thesis.
![[img]](http://pefprints.pef.uni-lj.si/style/images/fileicons/application_pdf.png)
| PDF Download (337Kb) |
Abstract
In this diploma thesis I introduce the concept of Lebesgue measure on the set of real numbers and show some of the properties of the measure. I will show the existence of Lebesgue non-measurable sets. I will also introduce the concept of a measurable function and give some examples. In the last part of the thesis, I will prove The fundamental theorem of calculus and The Lebesgue characterization for Riemann integrable functions. The latter tells us that a bonded function is Riemann integrabile if and only if it is continuous almost everywhere.
| Item Type: | Thesis (Diploma thesis) | ||||||
|---|---|---|---|---|---|---|---|
| Keywords: | Lebesgue measure, outer measure, measurable sets, non-measurable set, measurable functions, Riemann integral, Lebesgue integral | ||||||
| Number of Pages: | 22 | ||||||
| Language of Content: | Slovenian | ||||||
| Mentor / Comentors: |
| ||||||
| Link to COBISS: | http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=10174793) | ||||||
| Institution: | University of Ljubljana | ||||||
| Department: | Faculty of Education | ||||||
| Item ID: | 2361 | ||||||
| Date Deposited: | 18 Sep 2014 08:22 | ||||||
| Last Modified: | 18 Sep 2014 08:22 | ||||||
| URI: | http://pefprints.pef.uni-lj.si/id/eprint/2361 |
Actions (login required)
| View Item |
