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Banach Fixed-Point Theorem [dark version]

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Find more here: https://tbsom.de/s/mc 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 Measure Theory and download PDF versions and quizzes: https://tbsom.de/s/mc To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qv4G2AyarkbR3OKBml0hXEg And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtErGZonmtjF73jFhibdGNw Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Multivariable Calculus also known as Analysis with more variables or in higher dimensions. I hope that it will help everyone who wants to learn about it. We discuss partial derivatives, the nabla operator, gradient, Jacobians, Hessian, and so on. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community #Analysis #Integral #Calculus #Derivatives #Mathematics (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 https://tbsom.de/s/start

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