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iam an engineering student taking a year off (after my first year) and i was trying to teach myself linear algebra and set theory from a mathematical point of view

( the way that linear is taught to engineers is frankly an insult to the subject) and i find that i keep getting stuck at specific theorems.

now i beleive that if u get the theory u can then apply it the problems and it should follow that no matter how hard the problems are they are merely a variation of the theory which is basically a generalization of the problem.

am i right ? or just confused?

i was wondering how to deal with theorems. for example it is useful to translate theorems into words and then think about them?

also i would wondering generally wat are the undergrad topics i need to know to study the following subjects on my own. ?(i study great on my own i can easily bet that all the math that i have learnt over the years is because iam motivated by some strange for to do math in my spare time didnt learn a thing in first year calc pissed me off)

1) quantum mechanics:!!)

2) Functional analysis

3) Complex Analysis:grumpy:

also which of these topics is the easiest to tackle first ?

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# How to learn pure math and other stuff

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