📝 Access all videos and PDFs: 👍 Become a member on Steady: 👍 Or become a member on Patreon: Other possibilities here: You can also support me via PayPal: Or via Ko-fi: Or via Patreon: Or via other methods: Join this channel on YouTube: 💬 Access to the community forum: 🕚 Early access for videos: ❓ FAQ: 🛠️ What tools do you use: 📚 Download my books: 🆓 Ad-free access to all videos: ▶️ Exclusive supporter videos: 👏 Your name at the top in the credits of the upcoming videos! (opt-out possible) 📝 PDF versions, quizzes, and Python scripts: 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: Watch the whole video series about Manifolds and download PDF versions and quizzes: Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: 🌙 There is also a dark mode version of this video: 🔆 There is also a bright mode version of this video: 🔆 To find the YouTube-Playlist, click here for the bright version: 🌙 And click here for the dark version of the playlist: 🙏 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 00:00 Introduction 00:20 Overview 02:24 Stoke's theorem as the goal 02:56 Metric Spaces 04:56 Definition Topology 07:29 Simple examples of topological spaces 09:07 Credits #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)