Find more here: https://tbsom.de/s/mf Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or 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/ Watch the whole video series about Manifolds and download PDF versions and quizzes: https://tbsom.de/s/mf There is also a dark mode version of this video: https://www.youtube.com/watch?v=MEQnO08Meqw There is also a bright mode version of this video: https://www.youtube.com/watch?v=nh-YgZph-r4 To find the YouTube-Playlist, click here for the bright version:    • Manifolds   And click here for the dark version of the playlist:    • Manifolds [dark]   Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Manifolds. I hope that it will help everyone who wants to learn about it. x #Manifolds #Mathematics #LearnMath #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)