Manifolds 7 | Continuity

📝 Access all videos and PDFs: https://tbsom.de/s/mf 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofmaths 👍 Or become a member on Patreon: https://www.patreon.com/bsom Other possibilities here: https://tbsom.de/sp You can also support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Join this channel on YouTube: https://www.youtube.com/channel/UCdwo4k1RQHTcq_-WS7Cazqg/join 💬 Access to the community forum: https://thebrightsideofmathematics.com/community/ 🕚 Early access for videos: https://thebrightsideofmathematics.com/early_access/ ❓ FAQ: https://thebrightsideofmathematics.com/about/help/ 🛠️ What tools do you use: https://thebrightsideofmathematics.com/tools/ 📚 Download my books: https://thebrightsideofmathematics.com/books/ 🆓 Ad-free access to all videos: https://thebrightsideofmathematics.com/ad-free_access/ ▶️ Exclusive supporter videos: https://tbsom.de/s/mf 👏 Your name at the top in the credits of the upcoming videos! (opt-out possible) 📝 PDF versions, quizzes, and Python scripts: https://tbsom.de/s/mf 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 Manifolds and download PDF versions and quizzes: https://tbsom.de/s/mf 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: https://youtu.be/-keH0IwZlxQ 🔆 There is also a bright mode version of this video: https://youtu.be/oPsiD2Vyd_Y 🔆 To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qvRGAtgkTszX7szZDVd6jh1 🌙 And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2qvkwLZUk6Qs-FO4Ea-rApEn 🙏 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Manifolds where we start with topology, talk about differential forms and integration on manifolds, and end with the famous Stoke's theorem. I hope that it will help everyone who wants to learn about it. x #Manifolds #Mathematics #Differential #LearnMath #Stokes #calculus 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)