Measure Theory 3 | What is a measure? [dark version] скачать в хорошем качестве

Measure Theory 3 | What is a measure? [dark version]

📝 Access all videos and PDFs: https://tbsom.de/s/mt 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon:   / bsom   Also other possibilities exist: https://tbsom.de/sp You can also support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmath... To join this channel on YouTube:    / @brightsideofmaths   💬 Access to the community forum: https://thebrightsideofmathematics.co... 🕚 Early access for videos: https://thebrightsideofmathematics.co... ❓ FAQ: https://thebrightsideofmathematics.co... 🛠️ What tools do you use: https://thebrightsideofmathematics.co... 📚 Download my books: https://thebrightsideofmathematics.co... 🆓 Ad-free access to all videos: https://thebrightsideofmathematics.co... ▶️ Exclusive supporter videos: https://tbsom.de/s/mt 👏 Your name at the top in the credits of the upcoming videos! (opt-out possible) 📝 PDF versions, quizzes, and exercises: https://tbsom.de/s/mt Please consider to support me if this video was helpful such that I can continue to produce them :) Each supporter gets access to the additional material. If you need more information, just send me an email: https://tbsom.de/s/mail Watch the whole video series about Measure Theory and download PDF versions, quizzes and exercises: https://tbsom.de/s/mt Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: https://tbsom.de/s/subscribe 🌙 There is also a dark mode version of this video:    • Measure Theory 3 | What is a measure? [dar...   🔆 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: https://github.com/thebrightsideofmat... 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: https://tbsom.de/s/community 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 #MeasureTheory #Analysis #Integral #Calculus #Measures #Mathematics #Probability I hope that this helps students, pupils and others. Have fun! (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) For questions, you can contact me: https://steadyhq.com/en/backend/messa... The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start