[Question] What areas of maths are useful across disciplines?

As a hu­man­i­ties grad­u­ate who just read Su­perfore­cast­ing by Tet­lock and Gard­ner, I was im­pressed and ex­cited by Bayes’ The­o­rem. I am also dis­ap­pointed that I had never pre­vi­ously stud­ied it, as it is a use­ful tool that I could have ap­plied to many de­ci­sions in­volv­ing pre­dic­tion/​un­cer­tainty, i.e. al­most re­gard­less of my pro­fes­sion.

My ques­tion: what else am I miss­ing? What ar­eas of math­e­mat­ics are use­ful to pretty much any­one try­ing to af­fect high-im­pact so­cial change? I want to study them! I sus­pect there are other ar­eas of prob­a­bil­ity I haven’t en­coun­tered that can im­prove my de­ci­sion-mak­ing, but I am also open to com­pletely differ­ent top­ics.

I don’t mind a bit of a slog, e.g. I am a com­puter pro­gram­mer and started learn­ing mul­ti­vari­able calcu­lus when I be­came in­ter­ested in neu­ral net­works. In other words, I’m not ask­ing for easy maths (though I wouldn’t mind it), I’m ask­ing for widely ap­pli­ca­ble maths. Thank you!

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