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Real Analysis 30 | Continuous Images of Compact Sets are Compact 3 года назад


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Real Analysis 30 | Continuous Images of Compact Sets are Compact

📝 Find more here: https://tbsom.de/s/ra 👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofm... Other possibilities here: https://tbsom.de/sp You can also support me via PayPal: https://paypal.me/brightmaths (Use "For friends and family" as payment type) Or via Ko-fi: https://ko-fi.com/thebrightsideofmath... Or via Patreon:   / bsom   Or via other methods: https://thebrightsideofmathematics.co... 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 Real Analysis and download PDF versions, quizzes and exercises: https://tbsom.de/s/ra 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:    • Real Analysis 30 | Continuous Images ...   🔆 There is also a bright mode version of this video:    • Real Analysis 30 | Continuous Images ...   🔆 To find the YouTube-Playlist, click here for the bright version:    • Real Analysis   🌙 And click here for the dark version of the playlist:    • Real Analysis [dark version]   🙏 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Real Analysis. We talk about sequences, series, continuous functions, differentiable functions, and integral. I hope that it will help everyone who wants to learn about it. x 00:00 Intro 00:14 A special property of continuous functions 01:09 Theorem about images of compact sets 03:25 Proof of the Theorem 06:33 Credits #RealAnalysis #Mathematics #Calculus #LearnMath #Integrals #Derivatives 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...

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