Mathematics II

10. Glimpses towards measure theory, Rieman-Stieltjes integration, Kurzweil-Henstock integration, Lebesgue integration

What is a measure, and how do we extend the Riemann integral to get there?  (partly pages 570 - 571).

Finitely additive and sigma additive measures, Riemann-Stieltjes integral

Glimpses towards the Lebesgue integration with respect to a measure and the Lebesgue measure on reals.

Abstract integral with respect to a measure, the Lebesque measure on reals

Finally, we comment briefly towards the Kurzweil- Henstock integration on reals (pages 572 - 576).

K-integral

The 10th homework sheet for MDA102:

Chyba: Odkazovaný objekt neexistuje nebo nemáte právo jej číst.
https://is.muni.cz/de/118307/homework_mda102/Sheet_10_MDA102.pdf
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