Channel: 3Blue1Brown

Category: Education

Tags: mathematics3 blue 1 brown3 brown 1 blue3b1bthree blue one brown3brown1bluethree brown one blue

Description: General exponentials, love, Schrödinger, and more. Help fund future projects: patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: 3b1b.co/mat-exp-thanks ------------------ The Romeo-Juliet example is based on this essay by Steven Strogatz: stevenstrogatz.com/essays/loves-me-loves-me-not-do-the-math The book shown at the start is Vladimir Arnold's (excellent) textbook on ordinary differential equations. amzn.to/3dtXSwj Need a review of ordinary powers of e? youtu.be/m2MIpDrF7Es Or of linear algebra? youtu.be/kYB8IZa5AuE Timetable 0:00 - Definition 6:40 - Dynamics of love 13:17 - Linear systems 20:03 - General rotations 22:11 - Visualizing with flow ------------------ Code for this video: github.com/3b1b/videos/blob/master/_2021/matrix_exp.py These animations made using a custom python library, manim. See the FAQ comments here: 3blue1brown.com/faq#manim github.com/3b1b/manim You can find code for specific videos and projects here: github.com/3b1b/videos Music by Vincent Rubinetti. vincentrubinetti.com Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: 3b1b.co/subscribe Various social media stuffs: Website: 3blue1brown.com Twitter: twitter.com/3blue1brown Reddit: reddit.com/r/3blue1brown Instagram: instagram.com/3blue1brown_animations Patreon: patreon.com/3blue1brown Facebook: facebook.com/3blue1brown