🧵 applied math
Anonymous at Sun, 27 Oct 2024 17:42:22 UTC No. 16452456
im stuck in a limbo where i know all the standard math taught in an engineering degree but i dont really feel like i know it well enough since i never cared much about it and just passed exams, but now i do care.
it's very similar to the tutorial hell for programming: books/videos/lectures are either too slow or too fast with no in between.
there's ton of resources for math out there but i don't have the time and ability to filter them and not waste my time.
i'm asking to the people that were in a situation similar to mine, what did you do?
>pic related
only skimmed through chapters and it seems very very good. not sure if i will use it.
Anonymous at Sun, 27 Oct 2024 18:22:08 UTC No. 16452528
>>16452456
Garrity, T: All the Mathematics you Missed, (get it on libgen). I was in your position and this book was 100% of what I needed.
Anonymous at Sun, 27 Oct 2024 18:27:02 UTC No. 16452535
>>16452456
t. dunning-kruger
Anonymous at Sun, 27 Oct 2024 19:02:07 UTC No. 16452573
>>16452535
i wish i had dunning-kruger so that i would not feel the need to restudy my whole degree
>>16452528
15 pages for linear algebra? seems a bit minimalistic. at least the book i posted spends around 100 pages.
Anonymous at Mon, 28 Oct 2024 00:54:55 UTC No. 16453016
It's very difficult not to waste time. Waste some of it, most anons wont waste their time for you.
Anonymous at Mon, 28 Oct 2024 04:44:20 UTC No. 16453200
Anyone can post a book, so I'll just offer my two cents. Tutor at the local college. Engineering, math, physics, whatever. You should know any freshman stuff well enough to explain it to a student, and in the meantime you get paid to do your own, more rigorous review.
Anonymous at Mon, 28 Oct 2024 04:49:38 UTC No. 16453204
It's a waste of time to be honest anon. None of it will stick, if you stop using it it will leave your memory. The real point to all that studying is that should you ever find yourself needing it, you will be able to get up to speed faster and will be able to use reference materials more effectively and efficiently.
Without application or constant reinforcement, it wont really produce much benefit to rework your entire degree.
Don't get me wrong, its still a harmless way to keep your mind sharp and not a bad hobby, but if you want expertise, yeah, actual applications are gonna be the way to truly internalize all those abstract theorems
Anonymous at Mon, 28 Oct 2024 07:52:38 UTC No. 16453321
>>16453204
i only want to review my math classes from a more mature point of view. Sometimes when i walk near lectures of 1st year math students they are doing stuff we are doing 3rd year, or havent done at all. It's not a nice feeling to have wasted your time on dumbed down math and have to restudy it from scratch.
I already tried catching up on my own but books do not go as deep as a university course and i felt like wasting time again.
Probably what i know now is enough or i'll never need math ever again but i have this feeling that i HAVE TO to study math in a rigorous way.
Anonymous at Mon, 28 Oct 2024 10:10:16 UTC No. 16453395
>>16453016
i already wasted enough time.
dont get me wrong, im ready to spend time on studying, i just want to spend it on things that actually benefit me.
>>16453204
it's exactly because of the applications that i feel the need to restudy something like linear algebra becase applying it should be the easy part.
my reasoning is that after i study the theory the applications should be "obvious" (after someone has shown them to you, maybe) and i should be able to derive on my own what happens behind the scenes.
oftentimes happens the opposite, i study something theoretically (physics for example) and then im not able to explain a basic experiment that applies all the formulae i studied.
there is clearly something wrong either in me or the school system.
Anonymous at Tue, 29 Oct 2024 09:06:23 UTC No. 16454595
>>16452456
Have you tried the Princeton Companion to Applied Mathematics? If you need exercises you can try the Body and Soul project and Project Euler
https://www.bodysoulmath.org/
https://projecteuler.net/
Anonymous at Tue, 29 Oct 2024 09:13:54 UTC No. 16454602
>>16454595
That body and soul link looks great, thanks for sharing it
Anonymous at Tue, 29 Oct 2024 18:43:32 UTC No. 16455061
>>16454595
really great books that you recommended. i already downloaded all three volumes of Applied Mathematics: Body and Soul. The princeton one looks really good too.
thank you, if you have more stuff please share it!
EBOK at Tue, 29 Oct 2024 18:45:34 UTC No. 16455066
>>16455061
Reading is for nerds. I recommend no book, but going out there and observing the world, coming to conclusions
Anonymous at Tue, 29 Oct 2024 18:47:19 UTC No. 16455070
>>16455066
let me how that worked out for you.