🧵 Learning Mathematics
Anonymous at Wed, 6 Nov 2024 21:22:12 UTC No. 16465371
I would like to learn about higher mathematics at the college/grad school level, but it's been a long time since I took a math class and I don't think I learned things correctly to begin with in school (I know how to do things, but don't understand them fully).
How can I approach this on my own now? Should I just start over from the beginning?
Does anyone know of a sort of roadmap I could follow for re-learning math up to a college level, and then I could probably take it from there.
Anonymous at Wed, 6 Nov 2024 22:49:21 UTC No. 16465436
Grab a formula you know and try to derive it yourself. If you like the feeling you get afterwards, then you will enjoy studying math for the rest of your life. This one is perfect for starters:
[eqn]
\Large 1+2+3+\dots+n=\frac{n(n+1)}{2}
[/eqn]
Then you just keep looking for formulas to derive and eventually you will want to study a specific branch like combinatorics or calculus. I personally think the secret is studying the derivations and trying to derive stuff yourself, you will certainly feel like you [math]understand[/math] what you are doing. I've been doing this for the past two years and I'm now on relativistic quantum mechanics and the Dirac equation
Anonymous at Thu, 7 Nov 2024 00:56:13 UTC No. 16465534
>>16465371
Naive Set Theory_ Paul Halmos (up to chapter 14 will suffice, less than sixty pages)-> Foundations of Analysis_ Edmund Landau -> Calculus_ Michael Spivak or (depending of your taste) Linear Algebra_ Hoffman, Kunze. This is the beginning of college level math
Anonymous at Thu, 7 Nov 2024 00:58:20 UTC No. 16465536
>>16465371
Just memorize that 1+2+3...=(-1/12) and state this fact every time something mathematical comes up.
You'll be at about the same level as a University professor.
Anonymous at Fri, 8 Nov 2024 17:23:35 UTC No. 16467333
>>16465371
khan academy
math sorcere's study plan
read the wiki
start from algebra 1 if you're rusty
start from arithmetic if you're really rusty
dont study trig, algebra 2 or high school geometry individually, just do one precalc book instead
Anonymous at Fri, 8 Nov 2024 21:04:45 UTC No. 16467552
>>16467333
Are you referring to his video "Learn Mathematics from START to FINISH" ?
Anonymous at Sat, 9 Nov 2024 20:02:26 UTC No. 16468645
>>16467235
can you niggers stop posting that meme of a curriculum that you have never read a page of
Anonymous at Mon, 11 Nov 2024 06:03:09 UTC No. 16470467
read math books, don't waste your time on videos if understanding is what you want.
Anonymous at Mon, 11 Nov 2024 07:49:32 UTC No. 16470515
>>16467235
kek
Anonymous at Mon, 11 Nov 2024 08:12:05 UTC No. 16470526
>>16467235
that sounds a lot harder than most master degrees
Anonymous at Tue, 12 Nov 2024 05:17:58 UTC No. 16471663
>>16465371
1. Basic Mathematics - Serge Lang
2. A First Course in Calculus - Serge Lang
3. Calculus of Several Variables - Serge Lang
4. Introduction to Linear Algebra - Serge Lang
5. Undergraduate Analysis - Serge Lang
this covers about the 1st and maybe second year of undergraduate mathematics in the us
Anonymous at Tue, 12 Nov 2024 13:34:43 UTC No. 16471927
>>16465371
Read https://sheafification.com/the-fast
Anonymous at Tue, 12 Nov 2024 18:38:12 UTC No. 16472217
Algebra algebra algebra
Why can we add and multiply exponents?
Why do the logarithm rules work?
Why can we multiply equalities by -1 but not inequalities?
Anonymous at Tue, 12 Nov 2024 21:20:36 UTC No. 16472400
>>16472217
>Algebra Algebra Algebra
>Why can we add and multiply exponents?
If you are talking about integer or rational numbers it is because the recursion theorem, a theorem in set theory, before any algebra.
If you are talking about real or complex numbers, not only the recursion theorem but also the completenes axioms for [math]\mathbb{R}[/math] is needed.
>Why do the logarithm rules work?
Same reason that real exponentiation work, the completeness property. More precisely, some of its consequences, like the intermediate value theorem and related lemmas.
>Why can we multiply equalities by -1 but not inequalities?
This is indeed algebra, because of the definition of ordered field/ring.
Anonymous at Thu, 14 Nov 2024 11:54:26 UTC No. 16474645
>>16465371
Math is for niggers, learn a trade instead and get sum bitches on yo dick.
Anonymous at Thu, 14 Nov 2024 14:49:51 UTC No. 16474818
>>16465536
>Just memorize that 1+2+3...=(-1/12)
but is this actually true? I seen online people debunking this theory
Anonymous at Thu, 14 Nov 2024 14:55:25 UTC No. 16474825
>>16474645
Why do you need bitches when you can calculate the curvatures of reality?
Anonymous at Thu, 14 Nov 2024 15:51:55 UTC No. 16474880
>>16465371
Professor Leonard and Eddie Woo
Anonymous at Thu, 14 Nov 2024 15:53:32 UTC No. 16474883
>>16472217
why i gotta do so much to get a number? how do i remember all this shit and what it derives from?