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> How come some people can answer this so easily even though > I took college math and cannot? Why is the skill gap so great? The maths you learned was not pr
by kingkongjaffa 5y ago
> How come some people can answer this so easily even though > I took college math and cannot? Why is the skill gap so great?
The maths you learned was not proof based, just knowing calq / linalg / diffeq's etc. is knowing how to use some tools required for STEM it's not really proper maths.
> How do people learn advanced math?
They do what you did but go a step further.
Most STEM undergraduates learn calculus, linear algebra, differential equations, maybe some laplace and fourier transforms.
The next step is to go right back to the beginning and learn to construct the lemmas and properties of numbers using logic and proofs. Most courses don't do this step. It's not a big deal unless you want to work in mathematics academia figuring out proofs to things.
> So I need to learn skills that will make me employable.
Mathematics is not what you should focus on. No one is going to start paying you to write proofs.
- UK-Al05 5y agoBut I do find proof based thinking helps with writing algorithms from scratch and programming. How to get from a to b, solving sub problems, logical leaps involved all helps with the reasoning used for creating algorithms from scratch. That is often what you end up interviewed for these days. The thought behind proof by induction and solving problems with recursion are pretty close.