📝 Find more here: https://tbsom.de/s/ca 👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths 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/ 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 Complex Analysis and download PDF versions and quizzes: https://tbsom.de/s/ca 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/baWkq2y_7R4 🔆 There is also a bright mode version of this video: https://youtu.be/Jk5hxibwW80 🔆 To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qtIc75sLYaVEBt0QNqVbdmZ 🌙 And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2qvnF0fCuYAFDUJJbZ-ybBlI 🙏 Thanks to all supporters! They are mentioned in the credits of the video :) Thanks to all supporters who made this video possible! They are mentioned in the credits of the video :) This is my video series about Complex Analysis. I hope that it will help everyone who wants to learn about complex derivatives, curve integrals, and the residue theorem. Complex Analysis has a lof applications in other parts of mathematics and in physics. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community x 00:00 Intro 01:21 Definition of open set in ℂ 03:22 Definition of differentiability in ℂ 07:01 Endcard #ComplexAnalysis #Analysis #Calculus #Mathematics #curveintegral #integration (This explanation fits to lectures for students in their first or second year of study: Mathematics, 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 For questions, you can contact me: https://steadyhq.com/en/backend/messages#/me/brightsideofmaths