Measure Theory 3 | What is a measure?

The Bright Side of Mathematics
The Bright Side of Mathematics
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Find more here: tbsom.de/s/mt Support the channel on Steady: steadyhq.com/en/brightsideofmaths Or support me via PayPal: paypal.me/brightmaths Or via Ko-fi: ko-fi.com/thebrightsideofmathematics Or via Patreon: www.patreon.com/bsom Or join the channel here: youtube.comhttps://www.seevid.ir/fa/result?ytch=UCdwo4k1RQHTcq_-WS7Cazqg/join Or via other methods: thebrightsideofmathematics.com/support/ Watch the whole video series about Measure Theory and download PDF versions and quizzes: tbsom.de/s/mt There is also a dark mode version of this video:    • Measure Theory 3 | What is a measure?...   There is also a bright mode version of this video:    • Measure Theory 3 | What is a measure?   To find the YouTube-Playlist, click here for the bright version:    • Measure Theory   And click here for the dark version of the playlist:    • Measure Theory [dark version]   Thanks to all supporters! They are mentioned in the credits of the video :) And a big thank you for everyone who contributes to the subtitles here: github.com/thebrightsideofmathematics/bsom-subtitl… This is my video series about Measure Theory. I hope that it will help everyone who wants to learn about it. We discuss sigma algebra, measures, and integration. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: tbsom.de/s/community #MeasureTheory #Analysis #Integral #Calculus #Measures #Mathematics #Probability This is part 3 of 22 videos. 00:00 Introduction 00:26 Measure - Definition 03:08 Empty set has measure zero 03:35 Additivity 05:59 Sigma-additivity 07:54 Summary 08:43 Measure space 09:18 Examples 09:40 Counting measure 12:30 Dirac measure 14:12 Lebesgue measure (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) The Bright Side of Mathematics has whole video courses about different topics and you can find them here tbsom.de/s/start
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