Anonymous at Sat, 23 Nov 2024 06:49:48 UTC No. 16490238

Early life and childhood

Anonymous at Sat, 23 Nov 2024 07:31:09 UTC No. 16490256

determinants understood as the multilinear notion of volume makes them easy to understand and explains all the confusing math with fundamental principles that are easy to grasp
i have no fucking clue why they are taught as some magical incantation in basic linear algebra classes. exterior algebra is easy to understand.

Anonymous at Sat, 23 Nov 2024 09:39:44 UTC No. 16490283

>>16490225
I don't know why he's like this but I personally love determinants. It's one of the most useful and most beautiful objects in mathematics that shows up everywhere, in algebraic topology, in differential geometry, in algebra, etc.
It also goes hand in hand with the existence of the signature homomorphism S_n -> {-1,1} of the symmetric group, and the existence of the alternating groups A_n. You can prove the existence of these group theoretic objects using determinants and vice versa, but neither of them is really trivial to prove on their own.
As such, it's a very useful and beautiful construction that is made possible by one of the very first nontrivial theorems in group theory.

Anonymous at Sat, 23 Nov 2024 11:01:02 UTC No. 16490326

he be right doe

Anonymous at Sat, 23 Nov 2024 12:23:44 UTC No. 16490367

>>16490283
>A_n. You can prove the existence of these group theoretic objects using determinants and vice versa, but neither of them is really trivial to prove on their own.
yeah so it's not constructive maths, it's voodoo maths

Anonymous at Sun, 24 Nov 2024 02:25:05 UTC No. 16491162

>>16490225
>Filtered by determinants
>Meanwhile Strang is writing books on the application of linear algebra to data science
Strang won.