Riemann integral vs. Lebesgue integral

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Watch the whole series: https://bright.jp-g.de/measure-theory/
Measure theory series: https://www.youtube.com/playlist?list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j

This is the English version of the German video: https://www.youtube.com/watch?v=wl6WF--uCmQ

Here, I explain the differences between the Riemann integral and the Lebesgue integral in a demonstrative way.

I hope that this helps students, pupils and others.

#MeasureTheory

0:00 Introduction
0:30 Riemann integral
2:00 Problems of Riemann integral
7:50 Riemann integral definition
9:13 Lebesgue integral - idea

 (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

Видео Riemann integral vs. Lebesgue integral канала The Bright Side of Mathematics