์ด ๋ฌธ์„œ์˜ ์›๋ณธ์€ ์™ธ๋ถ€ ์œ„ํ‚ค์—์„œ ๊ฐ€์ ธ์™”์Šต๋‹ˆ๋‹ค.
3Blue1Brown
๊ตฌ๋…์ž ์ˆ˜
์•ฝ 335๋งŒ๋ช…[A]
์ด ์กฐํšŒ์ˆ˜
173,636,427ํšŒ[A]
๋งํฌ
1. ๊ฐœ์š”2. ์˜์ƒ
2.1. ์‹œ๋ฆฌ์ฆˆ
2.1.1. ์„ ํ˜•๋Œ€์ˆ˜ํ•™์˜ ๋ณธ์งˆ2.1.2. ๋ฏธ์ ๋ถ„ํ•™์˜ ๋ณธ์งˆ
2.2. ๋น„์‹œ๋ฆฌ์ฆˆ ์˜์ƒ
3. ์—ฌ๋‹ด

1. ๊ฐœ์š”[ํŽธ์ง‘]

Animated math[4]
์ˆ˜ํ•™๊ณผ ๊ด€๋ จ๋œ ๋ฌธ์ œ, ๋ฒ•์น™์˜ ์†Œ๊ฐœ ๋ฐ ์„ค๋ช…์„ ํ•˜๋Š” ์œ ํŠœ๋ธŒ ๊ต์œก ์ฑ„๋„. ์ผ์ƒ ์†์— ๋…น์•„์žˆ๋Š” ์ˆ˜ํ•™๊ณผ ์—ฌ๋Ÿฌ ํฅ๋ฏธ๋กœ์šด ๋ฌธ์ œ๋“ค, ๊ทธ๋ฆฌ๊ณ  ๋ฒ•์น™์„ ๋™์ ์œผ๋กœ ์‹œ๊ฐํ™”ํ•˜์—ฌ ์†Œ๊ฐœํ•˜๊ณ  ์„ค๋ช…ํ•œ๋‹ค. ๋•๋ถ„์— ์ˆ˜ํ•™๊ณผ ๊ฑฐ๋ฆฌ๊ฐ€ ๋จผ ์‚ฌ๋žŒ๋“ค๋„ ์ดํ•ดํ•˜๊ธฐ ์‰ฝ๋‹ค. ์Šคํƒ ํผ๋“œ ๋Œ€ํ•™๊ต์—์„œ ์ˆ˜ํ•™์„ ์ „๊ณตํ•œ ๊ทธ๋žœํŠธ ์ƒŒ๋”์Šจ(Grant Sanderson)์ด ํ™€๋กœ ์ฑ„๋„์„ ์šด์˜ํ•œ๋‹ค. ๋งค์ผ 5%์˜ ํ™•๋ฅ ๋กœ[5][6] ์˜์ƒ์ด ์—…๋กœ๋“œ๋˜๊ณ  ์žˆ๋‹ค.[7]

๋ณดํ†ต ์•Œ๋ ค์ง„ ์ฆ๋ช…๊ณผ ๋…ผ๋ฆฌ ์œ„์ฃผ์˜ ์—„๊ฒฉํ•œ ์ˆ˜ํ•™๊ณผ๋Š” ๋‹ฌ๋ฆฌ ์ˆ˜ํ•™์˜ ๋ณธ์งˆ์„ ๋ฐ”๋ผ๋ณด๋ ค๊ณ  ํ•˜๋Š” ๊ฒƒ์ด ํŠน์ง•์ด๋‹ค. ๊ทธ๋ž˜์„œ ์ฑ„๋„์˜ ๋ฐฉํ–ฅ์„ฑ๋„ ์ˆ˜ํ•™์„ ์ตœ๋Œ€ํ•œ ์ง๊ด€์œผ๋กœ์จ ์„ค๋ช…ํ•˜๋Š” ๋ฐ์— ๋‘”๋‹ค. ๋งŽ์€ ์˜์ƒ์—์„œ ๊ทธ๋žœํŠธ ์ž์‹ ์ด ๊ฐ•์กฐํ•˜๋Š” ์  ์ค‘ ํ•˜๋‚˜๊ฐ€ "๋ช…์ œ์˜ ์ฐธ๊ณผ ๊ฑฐ์ง“์„ ํ•ด๊ฒฐํ•˜๋Š” ๋ฐ์— ๋งค๋‹ฌ๋ ค ์žˆ๋Š” ๊ฒƒ๋ณด๋‹จ ์‹ค์งˆ์ ์ธ ๋ฌธ์ œ๋“ค์„ ํ•ด๊ฒฐํ•˜๋Š” ๋ฐ์— ์ดˆ์ ์„ ๋‘์–ด์•ผ ํ•œ๋‹ค."๋ผ๋Š” ๊ฒƒ์ด๋‹ค.

2. ์˜์ƒ[ํŽธ์ง‘]

๊ณต์‹ ํŽ˜์ด์ง€์—์„œ๋Š” ์ฑ„๋„์— '์‹œ๋ฆฌ์ฆˆ ์˜์ƒ'๊ณผ '๋น„์‹œ๋ฆฌ์ฆˆ' ์˜์ƒ์ด ์˜ฌ๋ผ์˜จ๋‹ค๊ณ  ์†Œ๊ฐœํ•œ๋‹ค.

2.1. ์‹œ๋ฆฌ์ฆˆ[ํŽธ์ง‘]

ํ˜„์žฌ ์ฑ„๋„์— ์—…๋กœ๋“œ๋œ ์‹œ๋ฆฌ์ฆˆ๋Š” ์ด ๋„ค ๊ฐœ์ด๋‹ค.

์ด ์ค‘ ํŠนํžˆ <๋ฏธ์ ๋ถ„ํ•™์˜ ๋ณธ์งˆ> ์‹œ๋ฆฌ์ฆˆ์™€ <์„ ํ˜•๋Œ€์ˆ˜ํ•™์˜ ๋ณธ์งˆ> ์‹œ๋ฆฌ์ฆˆ๋Š” ์ •๋ง ๋ฏธ์นœ๋“ฏํ•œ ๊ณ ํ€„๋ฆฌํ‹ฐ๋ฅผ ์ž๋ž‘ํ•œ๋‹ค. ๋ช…์‹ค์ƒ๋ถ€ ์ง€๊ธˆ์˜ 3b1b๋ฅผ ์žˆ๊ฒŒ ํ•ด์ค€ ์‹œ๋ฆฌ์ฆˆ๋กœ, ์• ๋‹ˆ๋ฉ”์ด์…˜๊ณผ ์‹œ๋ฎฌ๋ ˆ์ด์…˜์ด ๋“ค์–ด๊ฐ€๊ธฐ ๋•Œ๋ฌธ์— ๊ธ€์ด๋‚˜ ์ˆ˜์‹, ๊ทธ๋ฆผ๋งŒ ํ‘œํ˜„์ด ๊ฐ€๋Šฅํ•œ ์ฑ…๊ณผ ๋‹ฌ๋ฆฌ ์ž…๋ ฅ๊ฐ’์˜ ๋ณ€ํ™”์— ๋”ฐ๋ฅธ ๊ทธ๋ž˜ํ”„์˜ ๋ณ€ํ™” ๊ณผ์ •์„ ์ง์ ‘ ๋ˆˆ์œผ๋กœ ๋ณผ ์ˆ˜ ์žˆ์–ด์„œ ์ง๊ด€์ ์œผ๋กœ ๋น ๋ฅด๊ฒŒ ์ดํ•ดํ•  ์ˆ˜ ์žˆ๋‹ค. ์ฆ‰, ์ „ํ†ต์ ์ธ ์ฃผ์ž…์‹, ์ˆ˜์‹์„ ํ†ตํ•œ ์ฆ๋ช…์  ๊ต์œก๋ฒ•๊ณผ๋Š” ๋‹ค๋ฅธ ์‹œ๊ฐ์  ํŒจ๋Ÿฌ๋‹ค์ž„์„ ํ†ตํ•ด ๊ฐ€๋ฅด์น˜๊ธฐ์— ํ•ด๋‹น ์‹œ๋ฆฌ์ฆˆ๋ฅผ ๋Œ€ํ•™ ๊ณผ์ •์ด๋‚˜ ์ฑ…์œผ๋กœ ๋…ํ•™์„ ํ•œ ์‚ฌ๋žŒ์ด๋ผ๋„ ์™„์ „ ์ƒˆ๋กœ์šด ๊ฒฝํ—˜์„ ํ•˜๊ฒŒ ๋œ๋‹ค. ์ˆ˜ํ•™์„ ์‹ซ์–ดํ•˜๋Š” ์‚ฌ๋žŒ๋“ค๋„ ์˜์ƒ์„ ๋ณด๋ฉด ์‹ ์„ธ๊ณ„๋ฅผ ๋А๋‚„ ์ˆ˜ ์žˆ์„ ๊ฒƒ์ด๋‹ค.

์ž…์‹œ๋ฅผ ์ค€๋น„ํ•˜๋Š” ํ•™์ƒ๋“ค๋„ ๋ฏธ์ ๋ถ„ํ•™์ด๋‚˜ ๊ธฐํ•˜ ๋ฒกํ„ฐ์— ์ฒ˜์Œ ์ž…๋ฌธํ•  ๋•Œ ๊ฐœ๋… ์ •๋ฆฌ์šฉ์œผ๋กœ ์‹œ์ฒญํ•˜๊ธฐ ์ •๋ง ์ข‹๋‹ค. ์ˆ˜ํ•™์ด๋ผ๋Š” ํ•™๋ฌธ์ด ๋ณธ์งˆ์ ์œผ๋กœ ๋ฌด์—‡์ธ์ง€ ์•Œ ์ˆ˜ ์žˆ๊ณ , ์ด๋ ‡๊ฒŒ ์ˆ˜ํ•™์˜ ๋ณธ์งˆ์ ์ธ ๊ด€์ ์—์„œ ์ฃผ์ œ์— ์ ‘๊ทผํ•˜๊ธฐ ๋•Œ๋ฌธ์— ๊ต๊ณผ์„œ๋ฅผ ๋ณด๋Š” ๊ฒƒ๋ณด๋‹ค ํ›จ์”ฌ ๋” ๊นŠ์ด ์žˆ๊ณ  ๋ณธ์งˆ์ ์ธ ์ดํ•ด๊ฐ€ ๊ฐ€๋Šฅํ•˜๋‹ค. ๋‹ค๋งŒ ํ•œ๊ตญ ๊ต๊ณผ๊ณผ์ • ์ƒ ๋ง ๊ทธ๋Œ€๋กœ ์ง๊ด€์ ์ธ "๊ฐœ๋… ์ดํ•ด"์˜ ๊ด€์ ์—์„œ ์‹œ์ฒญํ•˜๋Š” ๊ฒƒ์ด ์ข‹๋‹ค. ๋ฏธ์ ๋ถ„์˜ ๊ฒฝ์šฐ ๋‹คํ•ญํ•จ์ˆ˜์˜ ๋ฏธ์ ๋ถ„์„ ๋จผ์ € ๋ฐฐ์šฐ๊ณ  ๊ทธ๋‹ค์Œ ์ดˆ์›”ํ•จ์ˆ˜๋ฅผ ๋ฐฐ์šฐ๋Š” ํ•œ๊ตญ์˜ ๊ต์œก๊ณผ์ •๊ณผ๋Š” ๋‹ฌ๋ฆฌ ์ด ์‹œ๋ฆฌ์ฆˆ์—์„œ๋Š” ์ฒ˜์Œ๋ถ€ํ„ฐ ๋ฏธ์ ๋ถ„ํ•™์˜ ๊ฑฐ์˜ ๋ชจ๋“  ๊ฒƒ์„ ๋‹ค๋ฃฌ๋‹ค. ์„ ํ˜•๋Œ€์ˆ˜ํ•™ ์‹œ๋ฆฌ์ฆˆ ์—ญ์‹œ ์ง๊ด€์ ์ธ ๊ฐœ๋… ์ดํ•ด์™€๋Š” ๋ณ„๊ฐœ๋กœ ํ•œ๊ตญ ๊ต๊ณผ๊ณผ์ •์—์„œ์˜ ์ ‘๊ทผ๊ณผ๋Š” ์กฐ๊ธˆ ๊ดด๋ฆฌ๊ฐ€ ์žˆ์œผ๋ฏ€๋กœ ์ฃผ์˜ํ•ด์•ผ ํ•œ๋‹ค.

๋‹ค๋งŒ ์ด ๋ชจ๋“  ๊ฒƒ์„ ๋›ฐ์–ด๋„˜๋Š” ํ•˜๋‚˜์˜ ์น˜๋ช…์ ์ธ ๋‹จ์ ์ด ์žˆ๋Š”๋ฐ ๋ฐ”๋กœ ๋ชจ๋“  ์˜์ƒ์ด ์˜์–ด๋ผ๋Š” ์ ์ด๋‹ค. ๋‹คํ–‰ํžˆ๋„ ๋ชจ๋“  ์˜์ƒ์— ์˜์–ด ์ž๋ง‰์ด ์กด์žฌํ•˜๋‹ˆ, ์˜์–ด๊ฐ€ ๋˜๋ฉด ๋ณด๋„๋ก ํ•˜์ž. ๊ทธ๋‚˜๋งˆ ๋ช‡๋ช‡ ์˜์ƒ์—์„œ๋Š” ํ•œ๊ตญ์–ด ์ž๋ง‰์ด ์žˆ๊ธฐ๋Š” ํ•˜์ง€๋งŒ, ๋Œ€๋ถ€๋ถ„์˜ ์˜์ƒ์—๋Š” ํ•œ๊ตญ์–ด ์ž๋ง‰์ด ์—†๋‹ค. ์ด ๋ง๋„ ์˜›๋ง์ด ๋ ๋“ฏ ํ•˜๋‹ค. 2020๋…„ 5์›” ๊ฐœ์„ค๋œ ํ•œ๊ตญ์–ด ์ฑ„๋„์—์„œ ๋ฏธ์ ๋ถ„ํ•™์˜ ๋ณธ์งˆ ์‹œ๋ฆฌ์ฆˆ์™€ ์„ ํ˜•๋Œ€์ˆ˜ํ•™์˜ ๋ณธ์งˆ ์‹œ๋ฆฌ์ฆˆ๋ฅผ ํ†ต๋ฒˆ์—ญํ•˜๊ณ  ์žˆ๋‹ค. ๋†€๋ž๊ฒŒ๋„ ๊ณต์‹ ํ—ˆ๊ฐ€๋ฅผ ๋ฐ›์€ ๋ฒˆ์—ญ ์ฑ„๋„์ด๋ผ๊ณ  ํ•˜๋‹ˆ, ์˜์–ด๊ฐ€ ์•ˆ ๋ผ์„œ ์˜์ƒ์„ ๋ณด์ง€ ๋ชปํ–ˆ๋˜ ์‚ฌ๋žŒ๋“ค์€ ๊ฑฑ์ •ํ•  ํ•„์š” ์—†์ด ํ†ต๋ฒˆ์—ญ๋œ ์˜์ƒ์„ ์ฆ๊ธฐ๋ฉด ๋  ๊ฒƒ ๊ฐ™๋‹ค.

๋น„๊ต์  ์ตœ๊ทผ ์‹œ์ž‘ํ•œ ์‹œ๋ฆฌ์ฆˆ์ธ <Differential Equations>๋Š” ํ•œ ๊ณผ๋ชฉ์— ๋Œ€ํ•ด ๋‹ค๋ฃจ๋Š” ๊ฒƒ์ด ์•„๋‹Œ ์—ฌ๋Ÿฌ ๋ฏธ๋ถ„๋ฐฉ์ •์‹์„ ๋‹ค๋ฃจ๊ธฐ ๋•Œ๋ฌธ์—, ์ด์ „ ์‹œ๋ฆฌ์ฆˆ์ฒ˜๋Ÿผ ์˜์ƒ์˜ ๋‚ด์šฉ์ด ์ด์–ด์ง€์ง€ ์•Š๊ณ  ์—ํ”ผ์†Œ๋“œ ๋‹น ๊ฐ๊ฐ ๋‹ค๋ฅธ ์ฃผ์ œ๋ฅผ ๋‹ค๋ฃจ๋Š” ์‹์œผ๋กœ ์ง„ํ–‰๋œ๋‹ค. ํ˜„์žฌ ์˜ฌ๋ผ์™€ ์žˆ๋Š” ์‹œ๋ฆฌ์ฆˆ์˜ ๋งˆ์ง€๋ง‰ ์˜์ƒ์€ ์˜ค์ผ๋Ÿฌ ๋“ฑ์‹์„ ๋ฌผ๋ฆฌํ•™์  ๊ด€์ ์—์„œ ๋‹ค๋ฃจ์–ด๋ณด๋Š” ์˜์ƒ์ด๋‹ค.

2.1.1. ์„ ํ˜•๋Œ€์ˆ˜ํ•™์˜ ๋ณธ์งˆ[ํŽธ์ง‘]

์žฅ
์ œ๋ชฉ๊ณผ ๋งํฌ
๊ฒŒ์‹œ ์ผ์ž
1
Vectors, what even are they? ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ1์žฅ: ๋ฒกํ„ฐ๋ž€ ๋ฌด์—‡์ธ๊ฐ€?)
2016. 8. 6.
2020. 10. 5.[๋ฒˆ์—ญ]
2
Linear combinations, span, and basis vectors ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ2์žฅ: ์„ ํ˜•๊ฒฐํ•ฉ, ์ƒ์„ฑ, ๊ธฐ์ € ๋ฒกํ„ฐ)
2016. 8. 7.
2020. 11. 19.[๋ฒˆ์—ญ]
3
Linear transformations and matrices ์˜์ƒ
(์ œ3์žฅ: ์„ ํ˜•๋ณ€ํ™˜๊ณผ ํ–‰๋ ฌ)
2016. 8. 8.
4
Matrix multiplication as composition ์˜์ƒ
(์ œ4์žฅ: ํ•ฉ์„ฑ์œผ๋กœ์จ์˜ ํ–‰๋ ฌ๊ณฑ)
2016. 8. 9.
5
Three-dimensional linear transformations ์˜์ƒ
(์ œ5์žฅ: 3์ฐจ์› ์„ ํ˜•๋ณ€ํ™˜)
2016. 8. 10.
6
The determinant ์˜์ƒ
(์ œ6์žฅ: ํ–‰๋ ฌ์‹)
2016. 8. 11
7
Inverse matrices, column space and null space ์˜์ƒ
(์ œ7์žฅ: ์—ญํ–‰๋ ฌ, ์—ด๊ณต๊ฐ„๊ณผ ์˜๊ณต๊ฐ„)
2016. 8. 16.
8
Nonsquare matrices as transformations between dimensions ์˜์ƒ
(์ œ8์žฅ: ์ฐจ์› ๊ฐ„ ๋ณ€ํ™˜์œผ๋กœ์จ์˜ ๋น„์ •๋ฐฉํ–‰๋ ฌ)
2016. 8. 17.
9
Dot products and duality ์˜์ƒ
(์ œ9์žฅ: ๋‚ด์ ๊ณผ ์Œ๋Œ€์„ฑ)
2016. 8. 25.
10
Cross products ์˜์ƒ
(์ œ10์žฅ: ์™ธ์ (๋ฒกํ„ฐ๊ณฑ))
2016. 9. 1.
11
Cross products in the light of linear transformations ์˜์ƒ
(์ œ11์žฅ: ์™ธ์ ๊ณผ ์„ ํ˜•๋ณ€ํ™˜)
2016. 9. 1.
12
Cramer's rule, explained geometrically ์˜์ƒ
(์ œ12์žฅ: ํฌ๋ž˜๋จธ ๊ณต์‹์„ ๊ธฐํ•˜ํ•™์ ์œผ๋กœ ์ดํ•ดํ•ด ๋ณด์ž)
2019. 3. 17.[10]
13
Change of basis ์˜์ƒ
(์ œ13์žฅ: ๊ธฐ์ € ๋ณ€ํ™˜)
2016. 9. 12.
14
Eigenvectors and eigenvalues ์˜์ƒ
(์ œ14์žฅ: ๊ณ ์œ ๋ฒกํ„ฐ์™€ ๊ณ ์œ ์น˜)
2016. 9. 16.
15
Abstract vector spaces ์˜์ƒ
(์ œ15์žฅ: ์ถ”์ƒ์ ์ธ ๋ฒกํ„ฐ ๊ณต๊ฐ„)
2016. 9. 25.

2.1.2. ๋ฏธ์ ๋ถ„ํ•™์˜ ๋ณธ์งˆ[ํŽธ์ง‘]

์žฅ
์ œ๋ชฉ๊ณผ ๋งํฌ
๊ฒŒ์‹œ ์ผ์ž
1
The Essence of Calculus ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(๋ฏธ์ ๋ถ„ํ•™์˜ ๋ณธ์งˆ, ์ œ1์žฅ)
2017. 4. 29.
2020. 5. 18.[๋ฒˆ์—ญ]
2
The paradox of the derivative ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ2์žฅ: ๋„ํ•จ์ˆ˜์˜ ์—ญ์„ค)
2017. 4. 30.
2020. 5. 19.[๋ฒˆ์—ญ]
3
Derivative formulas through geometry ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ3์žฅ: ๊ธฐํ•˜ํ•™์„ ํ†ตํ•œ ๋ฏธ๋ถ„ ๊ณต์‹)
2017. 5. 1.
2020. 5. 27.[๋ฒˆ์—ญ]
4
Visualizing the chain rule and product rule ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ4์žฅ: ์—ฐ์‡„ ๋ฒ•์น™๊ณผ ๊ณฑ๋ฏธ๋ถ„ ๋ฒ•์น™์˜ ์‹œ๊ฐํ™”)
2017. 5. 2.
2020. 6. 23.[๋ฒˆ์—ญ]
5
What's so special about Euler's number e? ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ5์žฅ: ์ง€์ˆ˜ํ•จ์ˆ˜์˜ ๋ฏธ๋ถ„๊ณผ ์˜ค์ผ๋Ÿฌ ์ƒ์ˆ˜ e)
2017. 5. 3.
2020. 7. 8.[๋ฒˆ์—ญ]
6
Implicit differentiation, what's going on here? ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ6์žฅ: ์Œํ•จ์ˆ˜์˜ ๋ฏธ๋ถ„, ๊ทธ ๊ธฐ๋ฌ˜ํ•œ ๊ณผ์ •)
2017. 5. 4.
2020. 9. 2.[๋ฒˆ์—ญ]
7
Limits, L'Hรดpital's rule, and epsilon delta definitions ์˜์ƒ ๋ฒˆ์—ญ ์˜์ƒ
(์ œ7์žฅ: ๊ทนํ•œ, ์—ก์‹ค๋ก -๋ธํƒ€ ๋…ผ๋ฒ•, ๋กœํ”ผํƒˆ ์ •๋ฆฌ)
2017. 5. 5.
2020. 11. 1.[๋ฒˆ์—ญ]
8
Integration and the fundamental theorem of calculus ์˜์ƒ
(์ œ8์žฅ: ์ ๋ถ„๊ณผ ๋ฏธ์ ๋ถ„์˜ ๊ธฐ๋ณธ ์ •๋ฆฌ)
2017. 5. 6.
9
What does area have to do with slope? ์˜์ƒ
(์ œ9์žฅ: ๋„“์ด๊ฐ€ ๊ธฐ์šธ๊ธฐ์™€ ๋ฌด์Šจ ๊ด€๊ณ„์ธ๊ฐ€?)
2017. 5. 6.
10
Higher order derivatives ์˜์ƒ
(์ œ10์žฅ: ๊ณ ๊ณ„๋„ํ•จ์ˆ˜)
2017. 5. 7.
11
Taylor series ์˜์ƒ
(์ œ11์žฅ: ํ…Œ์ผ๋Ÿฌ ๊ธ‰์ˆ˜)
2017. 5. 7.
12
What they won't teach you in calculus ์˜์ƒ
(์ œ12์žฅ: ๋ฏธ์ ๋ถ„ํ•™์—์„œ ๊ฐ€๋ฅด์ณ์ฃผ์ง€ ์•Š๋Š” ๊ฒƒ)
2018. 5. 19.

2.2. ๋น„์‹œ๋ฆฌ์ฆˆ ์˜์ƒ[ํŽธ์ง‘]

  • What is ____?[18]
  • Geometry (๊ธฐํ•˜ํ•™)
  • Why ฯ€? (์›์ฃผ์œจ?)
  • Physics (๋ฌผ๋ฆฌ)
  • Lockdown Math
    2020๋…„์—๋Š” ์ง์ ‘ ์ƒ๋ฐฉ์†ก์œผ๋กœ ๊ณ ๋“ฑํ•™๊ต ์ˆ˜์ค€์˜ ์ˆ˜ํ•™์„ ๊ฐ•์˜ํ•˜์˜€๋‹ค.

3. ์—ฌ๋‹ด[ํŽธ์ง‘]

  • ์–ด์งธ์„œ์ธ์ง€ ๋‹ค๋ฅธ ์œ ํŠœ๋ธŒ ๊ต์œก ์ฑ„๋„์ธ ์ฟ ๋ฅด์ธ ๊ฒŒ์ž‘ํŠธ์™€ ๋งŽ์ด ๋น„๊ต๋˜๊ณ  ์žˆ๋‹ค. ๋‘ ์ฑ„๋„ ๋ชจ๋‘ ๊ทœ๋ชจ๊ฐ€ ์ƒ๋‹นํžˆ ์ปค์„œ ๊ทธ๋Ÿฐ ๋“ฏ. ์‚ฌํšŒ, ๊ณผํ•™ ์ „๋ฐ˜์— ๊ฑธ์ณ ๋งŽ์ด ๊ด€์‹ฌ๋ฐ›๋Š” ๋ถ„์•ผ๋ฅผ ์†Œ๊ฐœํ•˜๊ณ  ์„ค๋ช…ํ•˜๋Š” ์ฟ ๋ฅด์ธ ๊ฒŒ์ž‘ํŠธ์™€๋Š” ๋‹ฌ๋ฆฌ 3b1b๋Š” ์ˆ˜ํ•™๊ณผ ๊ด€๋ จ๋œ ๊ฒƒ์— ๊ด€ํ•ด์„œ๋งŒ ์„ค๋ช…ํ•œ๋‹ค.
  • ์ˆ˜ํ•™ ์• ๋‹ˆ๋ฉ”์ด์…˜์šฉ ํŒŒ์ด์ฌ ์˜คํ”ˆ ์†Œ์Šค ๋ผ์ด๋ธŒ๋Ÿฌ๋ฆฌ์ธ manim์„ ๊ฐœ๋ฐœํ•˜์—ฌ ๋ฐฐํฌ ์ค‘์ด๋‹ค.๋งํฌ ํ”„๋กœ๊ทธ๋žจ์ด ๋‚ฎ์€ ์„ฑ๋Šฅ์˜ ์ปดํ“จํ„ฐ์—์„œ๋„ ๋Œ์•„๊ฐ„๋‹ค๋Š” ์ ๊ณผ ์ถœ๋ ฅ๋œ ์˜์ƒ์˜ ์šฉ๋Ÿ‰์ด ์ƒ๋‹นํžˆ ๊ฐ€๋ฒผ์šด ์ ์ด ์žฅ์ ์ด๋‹ค. ๋ฐฐ์šฐ๊ธฐํ˜„์žฌ FFmpeg ๋‹ค์šด๋กœ๋“œ ๋งํฌ๊ฐ€ ์ž‘๋™ํ•˜์ง€ ์•Š๋Š” ์น˜๋ช…์ ์ธ ๋ฌธ์ œ์ ์ด ์žˆ๋‹ค.
  • ์ฑ„๋„ ์ด๋ฆ„ '3Blue1Brown' ์€ ์ œ์ž‘์ž ๋ณธ์ธ์˜ ์˜ค๋ฅธ์ชฝ ๋ถ€๋ถ„ ํ™์ฑ„ ์ด์ƒ‰์ฆ์˜ ์ƒ‰๊น”์„ ๋”ฐ์™€ ๋ถ™์˜€๋‹ค๊ณ  ํ•œ๋‹ค.[19] ๊ทธ์— ๊ฑธ๋งž๊ฒŒ ์ฑ„๋„ ํ”„๋กœํ•„ ์ด๋ฏธ์ง€๋Š” 1/4์ด ๊ฐˆ์ƒ‰, 3/4์ด ํ‘ธ๋ฅธ์ƒ‰์ธ ํ™์ฑ„ ๋ชจ์–‘์ด๋ฉฐ ์ˆ˜ํ•™์  ํ•ด์„ค ๋˜ํ•œ ์บ๋ฆญํ„ฐํ™”๋œ ํฐ ๊ฐˆ์ƒ‰ ํŒŒ์ด ํ•˜๋‚˜๊ฐ€ ์ž‘์€ ํŒŒ๋ž€์ƒ‰ ํŒŒ์ด ์…‹์—๊ฒŒ ์„ค๋ช…ํ•ด์ฃผ๋Š” ๊ฒƒ์œผ๋กœ ์˜์ƒ ๋‚ด๋ถ€์—์„œ ํ‘œํ˜„๋œ๋‹ค.
  • ์•„๋Š” ์‚ฌ๋žŒ์€ ๋งŽ์ง€ ์•Š์ง€๋งŒ, FAQ์—์„œ "๋‚ด ์ฑ„๋„์˜ ์˜์ƒ์€ ๊ฐ๊ตญ์˜ ์–ธ์–ด๋กœ ๋ฒˆ์—ญํ•˜์—ฌ ๊ฐœ๋ณ„ ์ฑ„๋„์— ์˜ฌ๋ฆด ์ˆ˜ ์žˆ๋‹ค"๊ณ  ๋ช…์‹œ๋˜์–ด ์žˆ๋‹ค. ๋ฌผ๋ก  ํ—ˆ๊ฐ€๋Š” ๋ฐ›์•„์•ผ ํ•œ๋‹ค. ์ด์— ํ˜„์žฌ๋Š” 3Blue1Brown์˜ ์˜์ƒ์ด ์ค‘๊ตญ์–ด[20], ๋Ÿฌ์‹œ์•„์–ด, ์ŠคํŽ˜์ธ์–ด, ํ„ฐํ‚ค์–ด, ์ฒด์ฝ”์–ด ๋“ฑ์œผ๋กœ ๋ฒˆ์—ญ๋˜์–ด ๊ฐ ์ฑ„๋„์— ์˜ฌ๋ผ์˜ค๊ณ  ์žˆ์œผ๋ฉฐ, 2020๋…„ 5์›” 18์ผ ํ•œ๊ตญ์–ด ์ฑ„๋„์ด ๊ฐœ์„ค๋˜์—ˆ๋‹ค!
  • ์™ธ๊ตญ ์ˆ˜ํ•™/๋ฌผ๋ฆฌ ์œ ํŠœ๋ธŒ ์ฑ„๋„๋“ค๋ผ๋ฆฌ ์—ฐ๋ก€ ์ด๋ฒคํŠธ๋ฅผ ์ง„ํ–‰ํ•˜๋Š” ๋“ฑ์˜ ์ฝœ๋ผ๋ณด๋ ˆ์ด์…˜์„ ๋งŽ์ด ์ง„ํ–‰ํ•˜๋Š”๋ฐ, ๊ทธ ์ค‘์—์„œ๋„ ์ƒ๋‹นํžˆ ํ™œ๋ฐœํ•˜๊ฒŒ ์ฝœ๋ผ๋ณด๋ฅผ ์ง„ํ–‰ํ•˜๋Š” ์œ ํŠœ๋ฒ„์ด๋‹ค. 2020๋…„ 7์›” Stand-up Maths์™€ ์ฝœ๋ผ๋ณด๋ฅผ ์ง„ํ–‰ํ–ˆ๊ณ , 8์›”์—๋Š” Lex Fridman๊ณผ ์ˆ˜ํ•™ ๋ฐˆ์„ ๋ฆฌ๋ทฐํ–ˆ๋‹ค(...).
  • ์˜์ƒ์— ์‚ฌ์šฉ๋œ ๋ฐฐ๊ฒฝ์Œ์•…๋“ค์„ ์—ฌ๊ธฐ์—์„œ ๊ฐ์ƒํ•  ์ˆ˜ ์žˆ๋‹ค.
[A] 2021๋…„ 1์›” 4์ผ ๊ธฐ์ค€
[3] ๊ณต์‹ ํ•œ๊ตญ์–ด ๋ฒˆ์—ญ ์ฑ„๋„์ด๋‹ค.
[4] ๊ณต์‹ ํŽ˜์ด์ง€ ์ƒ๋‹จ์— ๋‹ฌ๋ ค ์žˆ๋Š” ๋ฌธ๊ตฌ.
[5] ์›๋ฌธ: New video every day (with probability 0.05). ํ•œ๊ตญ์–ด ๋ฒˆ์—ญ ์˜์ƒ ์ฑ„๋„์—” ์ด ์ฑ„๋„์— ์˜์ƒ์ด ์˜ฌ๋ผ์˜ฌ ํ™•๋ฅ  โ‰  0์ด๋ผ๊ณ  ์ ์–ด๋†จ๋‹ค.
[6] ์‹ค์ œ๋กœ 3Blue1Brown์˜ ์œ ํŠœ๋ธŒ ๊ณ„์ •์œผ๋กœ ๊ฐ€์„œ ์ตœ๊ทผ ์˜์ƒ์„ ํ™•์ธํ•ด ๋ณด๋ฉด, ์—ฐ์†์œผ๋กœ ์˜์ƒ์„ ์˜ฌ๋ฆด ๋•Œ๋„ ์žˆ์ง€๋งŒ ๊ฑฐ์˜ 1๋‹ฌ์— 1๋ฒˆ์„ ์˜ฌ๋ ธ๋˜ ์ ๋„ ์žˆ์Œ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋‹ค.
[7] 2020๋…„ 12์›” 30์ผ ๊ธฐ์ค€ 2128์ผ ๋™์•ˆ 112๊ฐœ์˜ ๋™์˜์ƒ์ด ์˜ฌ๋ผ์™”๋‹ค. ๊ณ„์‚ฐํ•ด๋ณด๋ฉด ๋Œ€๋žต 5.26%์ •๋„.
[๋ฒˆ์—ญ] ๊ณต์‹ ํ†ต๋ฒˆ์—ญ
[10] 15์žฅ์ด ์˜ฌ๋ผ์˜ค๊ณ  2.5๋…„ ํ›„์— ์ •๋ง ๊ฐ‘์ž๊ธฐ ์ถ”๊ฐ€๋๋‹ค. ํ•˜์ง€๋งŒ ์ด๊ฒƒ์ด ์„ ํ˜•๋Œ€์ˆ˜ํ•™ ์‹œ๋ฆฌ์ฆˆ์˜ ์—ฐ์žฅ์„ ์•”์‹œํ•˜๋Š” ๊ฒƒ์€ ์•„๋‹ˆ๋ผ๊ณ .
[18] ์žฌ์ƒ๋ชฉ๋ก์˜ ํƒ€์ดํ‹€์€ Explainers์ด๋ฉฐ, What is ___?๋Š” ๊ณต์‹ ํ™ˆํŽ˜์ด์ง€์˜ ์ธ๋„ค์ผ์˜ ์ œ๋ชฉ์ด๋‹ค.
[19] ํ™ˆํŽ˜์ด์ง€ ๋‚ด FAQ ํ•ญ๋ชฉ์—์„œ ๋ฐํž˜.
[20] ์œ ํŠœ๋ธŒ ์„œ๋น„์Šค๊ฐ€ ๋˜์ง€ ์•Š๊ธฐ ๋•Œ๋ฌธ์— bilibili๋กœ ์—…๋กœ๋“œ๋˜๊ณ  ์žˆ๋‹ค.