The essence of calculus
3Blue1Brown 3Blue1Brown
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 Published On Apr 28, 2017

What might it feel like to invent calculus?
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In this first video of the series, we see how unraveling the nuances of a simple geometry question can lead to integrals, derivatives, and the fundamental theorem of calculus.

Thanks to these viewers for their contributions to translations
Dutch: @LFWarsen, Lauri Warsen
Hebrew: Imri, Omer Tuchfeld
Hindi: Vinayak
Hungarian: homok43
Italian: @Deye27, @hi-anji, alberto alessi
Korean: Hana Seo
Portuguese: redkk123
Spanish: @agustin-j
Vietnamese: @ngvutuan2811, ngvutuan

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These animations are largely made using manim, a scrappy open source python library: https://github.com/3b1b/manim

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

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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 about new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

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