Complex analysis： Cauchy's theorem | Richard E Borcherds https://tube.cosmicflow.space/videos/watch/b284c6ed-bfd6-43e5-973d-2f3676f23e60 This lecture is part of an online undergraduate course on complex analysis. We state Cauchy's theorem and show that it follows from Green's theorem and the Cauchy-Riemann equations. We use it to show that a holomorphic function on a simply connected region has an antiderivative. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN Mon, 12 Oct 2026 23:14:43 GMT https://validator.w3.org/feed/docs/rss2.html PeerTube - https://tube.cosmicflow.space Complex analysis： Cauchy's theorem | Richard E Borcherds https://tube.cosmicflow.space/lazy-static/avatars/8891227d-e60f-40aa-88be-4c856c6a73dc.png https://tube.cosmicflow.space/videos/watch/b284c6ed-bfd6-43e5-973d-2f3676f23e60 All rights reserved, unless otherwise specified in the terms specified at https://tube.cosmicflow.space/about and potential licenses granted by each content's rightholder.