What are Manifolds? скачать в хорошем качестве

What are Manifolds?

Hey everyone! Welcome to Euler's Quanta. In this video, I try to give as much intuition as possible into the idea of a manifold, while introducing some of the rigorous yet beautiful ideas behind it (this video also serves as my entry to 3Blue1Brown's SoME1). Here are some references for those of you who want to know more about the topic: John M. Lee. Introduction to Smooth Manifolds. Springer Graduate Texts in Mathematics. 2013. (https://www.amazon.com/Introduction-S...) Jon Pierre Fortney. A Visual Introduction to Differential Forms and Calculus on Manifolds. Birkhäuser. 2018. (https://www.amazon.com/Visual-Introdu...) --------------------------- The animations and pictures appearing in this video are all my creation. --------------------------- Credits of the music: 1) Track: Chopin - Fantaisie - Impromptu, Op. 66 Music provided by Classical Music Copyright Free [https://tinyurl.com/visit-cmcf] Watch:    • Chopin - Fantaisie - Impromptu, Op. 66 [Co...   2) Winter Chimes by Kevin MacLeod Creative Commons — Attribution 3.0 Unported— CC BY 3.0 https://creativecommons.org/licenses/... Music provided by FreeMusic109    / freemusic109