I'd be surprised if anyone here can actually go to Gelfand's Algebra and solve every problem unaided
/mg/
>we use shit tier books imo
That's to be expected. Is there anything stopping you from using good books?
wlog let b>a
0 < (b-a)^2
0 < b^2 + a^2 - 2ab
2ab < a^2 + b^2
2ab/4 < a^2/4 + b^2/4
ab < a^2/4 + b^2/4 + 2ab/4
ab < ((a+b)/2)^2
sqrt(ab) < (a+b)/2
QED
I'm going through good books right now, because I was growing tired of the happy medium my school aims for (trying to please everyone with the same classes, resulting in me learning calculus like an engineer).
Could one single user please answer this question, ,
and not simply throw shadows and projections of all colors my way? I'm beginning to think if everyone's reading comprehension is such shit I shouldn't be listening to any of you anyway.
>What's the fastest route towards mathematical maturity?
That's an open problem.
>Inhaling as much rigorous mathematical text and resources that your mind allows
That's certainly a part of it.
>exhaling nothing but solutions to difficult exercises
This is worthless if you don't actually understand the solutions.
>learning calculus
If you're learning it at all you have already failed.
>reading comprehension
You might want to check out for that. This is a mathematics thread.
>if you're learning it at all you have already failed
Lol what?
>Veeky Forums
massive top kek, r u seriously implying math has nothing to do with reading comprehension?
I know this, but this is still a useless reply. Certainly there's opinions, and I'm inviting you to share yours, and critique mine
Are you meaning to say that one should rather be learning analysis, not calculus?
wrong user, meant for
>/mg/ is actually anything other than about magnesium