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大学数学・微分積分

Last updated at Posted at 2022-08-28

CEDEC:ゲームプログラマのための数学の歩き方 -

ラプラシアン:https://cedec.cesa.or.jp/2020/session/detail/s5e79a3e9c953a.html
デュアルクォータニオン編 https://cedec.cesa.or.jp/2021/session/detail/s60640d2e783a7.html
ベクトル解析:https://cedec.cesa.or.jp/2022/session/detail/92

ヨビノリ

微分

ε-δ論法(関数の連続性)【解析学】: https://www.youtube.com/watch?v=t3JPms8Y1l4
ロピタルの定理:https://www.youtube.com/watch?v=dRpnR2Q6GPI
偏微分:https://www.youtube.com/watch?v=UWFTIEIruyc
 → 2変数以上の微分
全微分:https://www.youtube.com/watch?v=ChoArVJnSjQ
 → 曲面の任意点に対する微分可能性の判別など

積分

重積分: https://www.youtube.com/watch?v=eqdsux1il54

累次積分(順番に積分する)
 yを固定してxで微分 
 yで微分
置換積分 
 極座標への変換


線形代数

高校数学

置換積分


QIITAでの数学記号

数値積分
https://qiita.com/omu58n/items/55116842b21443627ad3

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