Hi guys, Welcome to the Advanced Video Search Engine, and you are watching Open Covers, Finite Subcovers, and Compact Sets | Real Analysis. That video is uploaded by Wrath of Math at 2023-03-01T21:00:15-08:00. We are promoting this video only for entertainment and educational purpose only. So, I hope you like & enjoy it. [dAz9ax-bjzU]
| Name | Open Covers, Finite Subcovers, and Compact Sets | Real Analysis |
| Video Uploader | Video From Wrath of Math |
| Upload Date | This Video Uploaded At 02-03-2023 05:00:15 |
| Video Discription | We introduce coverings of sets, finite subcovers, and compact sets in the context of real analysis. These concepts will be critical in our continuing discussion of the topology of the reals. The definition of a compact set, in particular, is surprisingly fundamental, and we will provide and prove equivalent definitions of compactness in other videos. For now, we say a set A is compact if every open cover of the set A contains a finite subcover. #realanalysis Open Sets: https://youtu.be/pnWgj8jjs3w Closed Sets: https://youtu.be/O3ECYp4ICFA Identifying Open, Closed, and Compact Sets: https://youtu.be/0_mottmadEU All About Compact Sets: (coming soon) Real Analysis Course: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Real Analysis exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC ◉Textbooks I Like◉ Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/3tsaEER Abstract Algebra: https://amzn.to/3IjoZaO Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu My Math Rap channel: https://www.youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured dAz9ax-bjzU |
| Category | Education |
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