Channel: 3Blue1Brown

Category: Education

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

Description: Who knew root-finding could be so complicated? Next part: youtu.be/LqbZpur38nw Special thanks to the following supporters: 3b1b.co/lessons/newtons-fractal#thanks An equally valuable form of support is to simply share the videos. ------------------ Interactive for this video: 3blue1brown.com/lessons/newtons-fractal On fractal dimension: youtu.be/gB9n2gHsHN4 Mathologer on the cubic formula: youtu.be/N-KXStupwsc Some articles on Newton's Fractal, and its cousins: chiark.greenend.org.uk/~sgtatham/newton blbadger.github.io/polynomial-roots.html Some of the videos from this year's Summer of Math Exposition are fairly relevant to the topics covered here. Take a look at these ones, The Beauty of Bézier Curves youtu.be/aVwxzDHniEw The insolubility of the quintic: youtu.be/BSHv9Elk1MU The math behind rasterizing fonts: youtu.be/LaYPoMPRSlk Viewer-made interactive: codepen.io/mherreshoff/full/RwZPazd --- These animations are largely made using a custom python library, manim. See the FAQ comments here: 3blue1brown.com/faq#manim github.com/3b1b/manim github.com/ManimCommunity/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 ------------------ Timestamps: 0:00 - Intro 0:48 - Roots of polynomials 5:55 - Newton’s method 11:16 - The fractal 17:56 - The boundary property 23:13 - Closing thoughts ------------------ 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