Riemann Integral vs. Lebesgue Integral

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PDF version here: https://tbsom.de/s/ov

There is also a dark version of this video:    • Riemann integral vs. Lebesgue integra...  

Watch the whole series: https://tbsom.de/s/mt
Measure theory series:    • Measure Theory  

This is the English version of the German video:    • Riemann-Integral vs. Lebesgue-Integral  

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.

Spanish subtitles by Jorge Ibáñez. Thank you :)

#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)