/mg/ - /mathematics general/

[Anonymous No.11841173]

Formerly >>11834614
Where did Yukari go? edition

[Anonymous No.11841184]

>>11841173
>Elliptic curves

[Anonymous No.11841202]

>>11841173
https://www.youtube.com/watch?v=-g1wNbC9AxI

[Anonymous No.11841207]

fuck y*kari

[Anonymous No.11841210]

Starting a math degree in the spring. What's the best career for somebody who really, really dislikes dealing with other people?

[Anonymous No.11841214]

>>11841210
Math prof. Just spend your time doing your research and do the bare minimum for your classes and you'll get tenured

[Anonymous No.11841216]

>>11841210
Nothing in retail or sales. No ceo stuff either. You just wanna be a grunt.

[Anonymous No.11841223]

>>11841214
Makes more money than I thought it would.

>>11841216
I was thinking actuary, but meetings.

[Anonymous No.11841224]

>>11841202
Why did I watch the entire thing?

[Anonymous No.11841228]

>>11841173
Explain the meme plz C is continuous function and S Schwartz space?

[Anonymous No.11841229]

>>11841224
Mesmerizing, isn't it?

[Anonymous No.11841232]

>>11841229
Very.

[Anonymous No.11841242]

>>11841223
I bet being an actuary would be more antisocial than being a prof. It's office hours and lectures vs meetings once in a while.

[Anonymous No.11841249]

>>11841242
Seems like a lot of human interaction. Interfacing with different departments, lots of meetings, dealing with different levels of management...

[Anonymous No.11841253]

>>11841249
I guess it depends on the company but you're supposed to be crunching numbers all day so I can't imagine you'd have time for that. Actuaries make so much money, probably almost as much as professors. Actuaries are what the $300k starting meme is about.

[Anonymous No.11841257]

>>11841253
>$300k
With all your tests passed and ten years under your belt, maybe.

[Anonymous No.11841259]

>>11841253
>meme

[Anonymous No.11841269]

Any good books on Clifford algebra?

[Anonymous No.11841274]

>>11841257
starting anon, they do all the company's math like computing probabilities for insurance companies

[Anonymous No.11841276]

>>11841274
DW Simpson would disagree with you.

https://www.dwsimpson.com/2019-actuarial-salary-survey

[Anonymous No.11841281]

>>11841276
>30 years
Why would the meme lie to me like this? Is there anything that's actually $300k starting?

[Anonymous No.11841283]

>>11841276
>dwsimpson.com

[Anonymous No.11841286]

>>11841281
Professional athlete

[Anonymous No.11841288]

>>11841283
What's the issue?

[Anonymous No.11841301]

>>11841281
>Is there anything that's actually $300k starting?
Probably some invite-only quant shop jobs given to the top .1% of PhDs
otherwise no, don't take memes seriously anon

[Anonymous No.11841306]

What would you recommend for a young guy in his early 20s whose been outta HS for a few years now? I wanna get better at math and be college-ready, but I'm not sure where I can go to polish myself up for it.

What would you recommend?
Websites?
Books?

What would you have me buy or look into to get started? I'm just trying to get the basics down and not fall behind.

[Anonymous No.11841309]

>>11841306
Start at the top.

[Anonymous No.11841319]

>>11841309
>Möbius transformations, Galois theory, metric function, Lie groups
>Highschool
Kek

[Anonymous No.11841323]

>>11841309
>All this shit
>Just to get a good base education ready for college

Man I asked for just typical study material on the most common subjects, It's not like I'm going to go to college for advanced rocket science.

My ass just wants to be able to function properly when dealing with fractions, multiplication, and algebra. I fucking hate algebra, but I can't even factor expressions.

[Anonymous No.11841324]

>>11841173
Who knows. His filenames and folder are pretty identifiable tho, so you can try to look for him in /jp/, if you don't have anything better to do.
>for me, it's yukari_hoho.jpg
>>11841269
Cnops's Intro to Dirac Operators, I guess.

[Anonymous No.11841326]

>>11841324
>yukari_smile

[Anonymous No.11841329]

>>11841323
[math]f(\nu)=\nu^2+4\nu^2-32=(\nu+8)(\nu-4) \\Roots \ are \ \nu=-8\lor 4[/math]

[Anonymous No.11841332]

>>11841324
Thanks, I'll check it out.

[Anonymous No.11841333]

>>11841309

god imagine a society that could actually apply this curriculum ... not even the most hardcore chinese students can handle this

[Anonymous No.11841336]

>>11841333
What do you mean? It's standard for Russian high schoolers.

[Anonymous No.11841338]

>>11841306
I'm using Khan Academy to brush up. You'll learn to function but you won't learn theory or applications.

[Anonymous No.11841340]

>>11841329
Fuck you.

[Anonymous No.11841341]

>>11841336
Please show me one (1) Russian high school that teaches Lie theory.

[Anonymous No.11841345]

>>11841341
Any of them.

[Anonymous No.11841348]

>>11841338
Khan Academy, got it.

Thanks for the suggestion I'm looking into it right now and it does look like it could help me remember a lot of material. Maybe I can learn some new things while I'm at it.

[Anonymous No.11841350]

>>11841340
Can you factor this expression?

[math]\alpha \beta^2+2\alpha\beta+\beta\alpha^2[/math]

[Anonymous No.11841352]

>>11841348
I hear their stats program is weak, but everything through calc should be good.

[Anonymous No.11841354]

>>11841323
go watch some khan academy videos my sweet baby boy

[Anonymous No.11841360]

stop recommending khan academy without a least a guiding book like gelfand or lang

[Anonymous No.11841362]

>>11841360
Zoomers don't do textbooks, anon.

[Anonymous No.11841438]

Do you have a plan B, /mg/?

[Anonymous No.11841445]

>>11841438
move back home and work at Tim Horton's while living in the basement

[Anonymous No.11841531]

>>11841309
ok so is the verbitsky curriculum a troll or not. i know you're posting it as a troll but how many people have covered this entire thing over the course of their undergrad?

[Anonymous No.11841568]

>>11841531
>but how many people have covered this entire thing over the course of their undergrad?
any average Russian student

[Anonymous No.11841683]

>>11841228
C(Yukari) = cone over Yukari & S(Yukari) = suspension of Yukari which is essentially cone over and under Yukari.

>>11841438
Warehouse.

[Anonymous No.11841698]

>>11841568
stop being mean and bitter
>>11841438
haskell job

[Anonymous No.11841844]

>>11841531
yes, it's a troll

[Anonymous No.11841861]

>>11841531
Its a troll the good charts are linked in /sqt/, just ignore the proof books and use some discernment in deciding what you’d like to focus on once you’ve established your foundations.

[Anonymous No.11841868]

>>11841844
>>11841861
I'm not a newbie or anything (not totally anyway), just wondering if there are people out there who have covered this entire list, or a similar list with a different focus, with the suggested schedule (even Verbitsky himself?). The first time I saw it I thought "no way," but after having studied math for some time I'm starting to be less doubtful.

[Anonymous No.11841899]

>>11841868
One needs to live by these lyrics in order to reach the Russian level https://www.youtube.com/watch?v=QnXWGD-k9PQ

[Anonymous No.11841929]

bros... i should be working on maths... but i'm playing minecraft instead...

[Anonymous No.11841970]

bros... i should be working on maths... but i'm doing category theory instead.

[Anonymous No.11841984]

>>11841970
bro... you need to stop...

[Anonymous No.11841999]

>>11841173
The last few days of yukarifags were basically just him getting BTFO'd in /sqt/ for being the insufferable cunt he is, then him crying and claiming that he "doesn't care" how he's perceived by the rest of /sci/.
What a sad existence, honestly.

[Anonymous No.11842032]

>>11841531
of coure it's a troll

[Anonymous No.11842034]

give me a job....

[Anonymous No.11842055]

>>11841269
lounesto

[Anonymous No.11842062]

>>11842034
The anime posters can give you a blow job

[Anonymous No.11842072]

>>11841438
Programming. I have 2 years of experience. Or pro-NEET.

[Anonymous No.11842080]

Wildberger's algebraic topology lectures are unironically really good

[Anonymous No.11842091]

>>11842080
Agreed

[Anonymous No.11842156]

bros... gonna do math all day today...

[Anonymous No.11842220]

>>11842156

do category theorists really expect us to believe these flow charts they do is math? Yeah "sir that will be X f(g)--> Z dollars please"

they have played us for absolute fools

[Anonymous No.11842230]

>>11842220
>complete a PhD in category theory
>multimilion companies are impressed with your flow chart skills
>they give you a job, 300k starting

[Anonymous No.11842244]

>>11842220
>category theorists
looks like manifolds 101 to me

[Anonymous No.11842250]

>>11842230

>category theorist at a dinner with his in-laws
>so anon what did you study again? annete told us you're very smart!!
>"huhh I draw these circles with arrows pointing at each other"
>his girlfriend's little brother asks" hey anon what's 344353535 times 32322424204?"
>he struggles for 20 minutes, everyone embarassed

[Anonymous No.11842264]

>>11842250
>32322424204
how did the 0 get in there, did you edit it as an afterthought?

[Anonymous No.11842268]

>>11842264

to throw a little curve ball

[Anonymous No.11842330]

>>11842080
Wildberger's lectures on traditional math are all really well done. It's a bit of a shame that a guy who's uploaded hundreds of hours of high-quality lectures to YouTube for free is only known to anybody for ranting about [math]\mathbb{R}[/math]

[Anonymous No.11842340]

>>11841868
>just wondering if there are people out there who have covered this entire list, or a similar list with a different focus, with the suggested schedule (even Verbitsky himself?)
There's a possibility Verbitsky himself did something pretty similar. In fact I imagine that probably did happen.
The .01% of autistically obsessed geniuses who are capable of moving that fast don't follow other people's rigid book lists. They read whatever their obsessive focus happens to be on at the time.
Book lists are exclusively the domain of brainlets.

[Anonymous No.11842349]

>>11841438
Teaching highschool

[Anonymous No.11842351]

>>11842062
all very likely physically repulsive and non-passing trannies and rapidly aging faghags
>>11841999
If he wasn’t a lunatic homosexual obsessed with showing off he would have been the most helpful poster this board had ever seen.

[Anonymous No.11842368]

>coochie's theorem

[Anonymous No.11842398]

>>11842368
Cauchy? Please no.

>>11842351
That probably describes them pretty well.

[Anonymous No.11842402]

>>11842398

>Please no.

yes

[Anonymous No.11842492]

>>11842330
Which ones do you recommend? I'm not sure which ones are good.

>>11842250
+/- cat theory, will probably be me in 10 years

[Anonymous No.11842501]

God likes simplicity. Have you kept your maths simple, /mg/?

[Anonymous No.11842515]

>>11842501
god isn’t real, faggot

[Anonymous No.11842524]

>>11842515
>doesn't believe in God
unironically ngmi

[Anonymous No.11842525]

>>11841531
I didn't realize this was made entirely seriously, that's even more hilarious. Does anyone have a link to the original copypasta?

[Anonymous No.11842591]

>>11842525
http://imperium.lenin.ru/~verbit/MATH/programma.html

[Anonymous No.11842604]

>>11842525
pastebin.com/SmBc26uh

[Anonymous No.11842617]

here's stephen wolfram getting rekt
http://bactra.org/reviews/wolfram/
>>11842349
ninobro... we are going to make it... right...

[Anonymous No.11842633]

>>11842617
Yes.

[Anonymous No.11842645]

>>11841438

[Anonymous No.11842706]

>>11842645
You only need one unless you're a really bad shot.

[Anonymous No.11842722]

>>11842706
Maybe he missed himself when he was looking for the reasons for his failure.

[Anonymous No.11842801]

>>11842591
>>11842604
Thanks!

[Anonymous No.11842959]

Slow thread, lads.

[Anonymous No.11843196]

>>11842959
It's the end of the month. There's no point in posting after the 24th day.

[Anonymous No.11843213]

>>11842062
>The anime posters can give you a blow job
but that doesn't involve math

[Anonymous No.11843259]

I'm taking the course assessments on KA.

Call Jeff Foxworthy because I am NOT smarter than a 5th grader.

[Anonymous No.11843262]

https://dzackgarza.com/GOATS_2020/
>We also have several slots open for short contributed talks -- interested students can sign up via the website or contact us directly. The deadline for submissions is *Saturday, July 4th*.
Should anyone find this interesting.

[Anonymous No.11843337]

>>11843196
>There's no point in posting after the 24th day.
Since 24 is the final HCN day of any month?

[Anonymous No.11843389]

>>11843337
HCN?

[Anonymous No.11843400]

>>11843389
Historical Climatogy network

[Anonymous No.11843423]

>>11843262
@Tooker go for it lad, I know you can do it.

[Anonymous No.11843429]

[math]Show \ that \ the \ 2x2 \ matrices \ over \ \mathbb{Q} \ of \ the \ form \begin{pmatrix}
\alpha & \beta\\
0 & \gamma
\end{pmatrix}, with \ \alpha\in\mathbb{Z} \\ and \ \beta,\gamma\in\mathbb{Q},make \ a \ ring \ which\ is \ right \ noetherian \ but \ not \ left \ noetherian.[/math]

[Anonymous No.11843450]

>>11843337
No idea what you mean.

>>11843423
Or you.

[Anonymous No.11843453]

>>11843429
This is so trivial that I'm second-hand embarrassed on the part of you that you can't solve it.

[Anonymous No.11843460]

>>11843389
>>11843450
Highly Composite Number

[Anonymous No.11843476]

>>11843453
Who said I couldn't solve it?

[Anonymous No.11843480]

>>11843476
Why then did you post such a pathetically trivial problem?

[Anonymous No.11843489]

>>11843389
Hardon Colloidal Network. NSFW BTW

[Anonymous No.11843497]

>>11843480
To weed out the /mg/ brainlets.

[Anonymous No.11843500]

>>11843460
I see. No connection between those two, though.

[Anonymous No.11843516]

>https://arxiv.org/pdf/1807.07338.pdf
>As a further result we prove that the irrational number √2 is normal in base 2.
is this legit?

[Anonymous No.11843525]

>>11843516
nevermind it looks like total rubbish

[Anonymous No.11843526]

>>11843516
You're the one who, presumably, read it. You tell us.

[Anonymous No.11843533]

>>11843429
>>11843497
Not left noetherian: let I_n be the left ideal of all such matrices that beta can be expressed as a/p^n for integer a, and gamma=0. Then I_1 subset I_2 subset ... is an infinite chain of ideals.
Right noetherian: By multiplying any ring element on the right we can find the element of the ideal with the same entries except the upper right entry whatever we want. Thus in terms of order the ideals are exactly like those in ZxZ, which is known to be noetherian.

[Anonymous No.11843663]

Anybody take online courses at University of North Dakota? I'm in the Army, so this is my best option for math classes, given my erratic schedule.

[Anonymous No.11843710]

>>11843663
Probably not, but go for it if you need the credit. Otherwise, just find a good pdf of Basic Mathematics by Serge Lang or Algebra by I.M. Gelfand and do all the exercises

[Anonymous No.11843730]

>>11843710
>pdf

[Anonymous No.11843772]

>>11843730
dvju is for queers

[Anonymous No.11843791]

>>11843772
That's why you use epub

[Anonymous No.11843838]

FUCK shafarevich's AG textbook... It is appallingly autistic.

everything I read in shafarevich only confused me. I did not understand any of it until I learned more about computational commutative algebra

[Anonymous No.11843842]

>>11843838
i just started reading it. at what point did you stop understanding it?

[Anonymous No.11843908]

>>11841324
>His filenames
you mean her filenames

[Anonymous No.11843911]

>>11841438
piano and music theory. If it all fails i can teach music

[Anonymous No.11843936]

>>11843838
>encyclopaedia of mathematical sciences
>encyclopaedia
>yup, looks like a textbook to me
Absolutely recommend the General Topology volume for reviewing, tho.
>>11843908
Stop projecting your trannyism onto Yukarihoney.

[Anonymous No.11843981]

>>11843936
>>11841173
what happened to Yukari? I'ts been a while since I've been here

[Anonymous No.11843993]

>>11843936
Anime posters, by definition, are trannies.

[Anonymous No.11844000]

>>11843993
>touhou is anime

[Anonymous No.11844001]

>>11844000
Checked.

[Anonymous No.11844011]

I hope Yukari comes back. We need a good generalized anime poster.

[Anonymous No.11844020]

[math]\mathfrak{g} \times \mathfrak{g} \rightarrow \mathfrak{g},(x,y)\mapsto [x,y][/math]

[Anonymous No.11844035]

>>11844000

Yes.

[Anonymous No.11844042]

[Anonymous No.11844047]

>>11841438
delet

[Anonymous No.11844057]

>>11844042
How is it?

[Anonymous No.11844059]

>MFW trying to learn measure theory
Lads, I think I might be a brainlet.

[Anonymous No.11844063]

>Let Mammoth be an arbitrary functor ...

[Anonymous No.11844073]

>>11844059
no, it's hard to connect it to anything other than stochastic processes

[Anonymous No.11844080]

>>11844057
I like it.
It's a mixture of linear algebra, Fourier analysis, real/complex analysis, and Riemannian geometry. A grad student probably wouldn't get much out of it (although, I can't say for certain), but it's a unique book.

[Anonymous No.11844088]

>>11844080
I'm mostly interested in an introduction to CR geometry. And trust me, even professors will get something out of nearly every book that's not their speciality.

[Anonymous No.11844100]

>>11844088
The last 50 pages or so of the text deal with CR geometry, and while it is introductory it's not really the sole purpose of the book. Like I said, it's kind of a hodge-podge of topics that the author informally dubbed 'Hermitian analysis'. Most of the book before it gets to geometry is concerned with Fourier analysis, orthogonality, and Hilbert spaces.

[Anonymous No.11844107]

oh yes, the coochie-rayman geometry

[Anonymous No.11844115]

bros... i dont feel like it...

[Anonymous No.11844117]

>>11844073
What about ergodic flows? That's a pretty geometric part of measure theory.

[Anonymous No.11844121]

Just want to die, lads.

[Anonymous No.11844123]

>>11844121
Haha same.

[Anonymous No.11844128]

>>11843842
Different anon, but Grassmannian/veronese varieties and products of varieties chapter...

[Anonymous No.11844136]

>>11844121

what if afterlife is worse

[Anonymous No.11844154]

>>11844117
Coud well be, I don't know how much measure theory you need for that (as opposed to just having a good integral definition in normal enough spaces. Measure theory is set up to measure just about anything)

[Anonymous No.11844178]

Some anons have been claiming on this thread that touhou is anime.
However, they couldn't be more far from the truth, as I will now demonstrate.
In the associated picture, you can see Patchouli, a known 2hu, studying Category Theory. However, she's crying: she hates it. Tell me, gentlemen, have you ever seen an anime that hates category theory, that is brought to tears from the disgust?

[Anonymous No.11844190]

>>11844178
Now, in this new picture, we can see Patcho studying Geometry, a proper and refined subject. Look at how comfy she is. She could do it for hours and hours.
As you well know, an anime cannot study anything that isn't category theory or algebraic geometry. They die on the spot.
Gentlemen, do you yet dare to make absurd claims, saying that touhous are anime, when the truth is before your eyes?

[Anonymous No.11844196]

>>11844178
categorically based, & touhoupilled.

[Anonymous No.11844197]

>>11844178
>>11844190
Make one with Kumiko reading about Galois theory.

[Anonymous No.11844200]

what is the best math-related anime, or the best anime mathematicians like to watch?

[Anonymous No.11844202]

>>11844200

nj wildberger

[Anonymous No.11844208]

>>11844200
Cantor's Bizarre Adventure.

[Anonymous No.11844214]

>>11844197
>Kumiko
Who? Give me a good picture of her reading something and I'll make it.
Also, what Galois theory book.

[Anonymous No.11844272]

>>11844214
Never mind, found one after looking for two minutes.
If you actually meant some other Kumiko you can fuck off.

[Anonymous No.11844277]

>>11844272
whats the point if youre not even gonna show her face or flat chest

[Anonymous No.11844286]

>>11844272
Based.
Do something with this one.

[Anonymous No.11844290]

>>11844272

literally no one studies like that

[Anonymous No.11844297]

>>11844200
[math]K^0(N)[/math]

[Anonymous No.11844300]

>>11844290
It's actually more like Kumiko is interested in seeing what Reina is studying and is then confused after taking a look.

[Anonymous No.11844304]

>>11844290
I do.

[Anonymous No.11844309]

Why is Lie theory so comfy, /mg/?

[Anonymous No.11844317]

>>11844304

Can I see your forearm muscles?

[Anonymous No.11844325]

>>11844317
i cant build muscle

[Anonymous No.11844326]

>>11843981
idk, she just disappeared

[Anonymous No.11844341]

>>11844325

If your muscle cells literally could not replicate your heart would stop working

[Anonymous No.11844345]

>>11844317
How is that related to such muscles?

[Anonymous No.11844346]

>>11844286
>this image quality
Do you think I'm literally a magician or do you just expect me to upscale and make everything blurry as hell?

[Anonymous No.11844352]

>>11844345

try to hold a hardcover up to your face like that for an hour

[Anonymous No.11844353]

Sweet Jesus, so can I get all this in a college-level math degree?

[Anonymous No.11844354]

>>11844346
>Do you think I'm literally a magician or do you just expect me to upscale and make everything blurry as hell?

[Anonymous No.11844356]

>>11844353

you forgot your pic related

[Anonymous No.11844357]

>>11844352
I see. I haven't tried but now that you mention, it most likely starts feeling quite heavy after only a minute or two.

[Anonymous No.11844374]

>>11844354
I upscaled it twice in a row on waifu 2x and we've barely entered the territory of book title legibility.

[Anonymous No.11844382]

>>11844374
Doing the lord's work, anon.

[Anonymous No.11844398]

Love Dover books, lads.

[Anonymous No.11844438]

>>11844398
Tell me some good ones for a brainlet with an interest in math. Heard pic related is nice.

[Anonymous No.11844444]

>>11844438
I have that one and it's quite good.
Pic related is the best introductory text in algebra that I've come across, if you're interested. ODEs by Tennebaum and Pollard is also good, as is Intro to Topology by Mendelson.

[Anonymous No.11844445]

>>11844444
checked

[Anonymous No.11844446]

https://www.mathtrainer.org/

[Anonymous No.11844447]

>>11844444
Checked.

[Anonymous No.11844454]

>>11844444
>>11844438
what are some fun books, just for fun? that'll keep me readng and engaged

[Anonymous No.11844456]

>>11844454

[Anonymous No.11844457]

>>11841202
>cohomology fractal zoom
what cohomology?

[Anonymous No.11844459]

specifically i would like to learn calculus, but my math education up to this point is spotty at best.

[Anonymous No.11844463]

>>11844456
ive read most of on the shoulders of giants already know most those guys honestly.

[Anonymous No.11844465]

>>11844454
villani's book is really really good, perfect mathkino (pic related)

[Anonymous No.11844467]

I hate typos in books, part a million
At least this was in the contradiction part of the proof


>>11844444
That's what I heard yeah. I might try and get ahold of them.
Is the physical quality of the books ok?

[Anonymous No.11844468]

>>11844465
well i'm really big on mental math but that can only take you so far. i just wanna know more not read anything boring

[Anonymous No.11844469]

>>11842220
>He doesn't know basic differential geometry

[Anonymous No.11844473]

>>11844454
I hear Fermat's Last Theorem is good.
>>11844459
Wrong thread or where you the guy that got linked the huge memelist

[Anonymous No.11844475]

>>11844467
I get all mine from Amazon and I've never had any problem with the books; they're always in good condition and the books themselves are of high quality. Some anons in a past thread said the reason Dover books are so cheap is because of copyright and lack of LaTeX.

[Anonymous No.11844479]

>>11844468
oh, so what you mean by "what are some fun books?" is "what are some books on basic elementary shit which i should be learning in school?"
how about Book of Proof or something like that? How to Prove It is another one. learn how to do basic math proofs, that's fun.
don't read villani's books unless you know some basic language around multivariable calculus / PDEs and functional analysis

[Anonymous No.11844482]

>>11844475
what about text books? Any good ones? i wouldn't mind some progressive fun problem sets

[Anonymous No.11844488]

>>11841531
>how many people have covered this entire thing over the course of their undergrad?
i've got one more year of undergrad and i've covered a little more than half of it. that's not too bad.

[Anonymous No.11844490]

>>11844459
How familiar are you with the following:
Factoring and expanding polynomials

>Distributive properties
>Properties of exponents and logarithms
>Good intuition regarding functions (asymptotic behavior, shifts, intercepts, etc.)
>Calculating zeroes of a function through quadratic formula, completion of the square, synthetic division
>Basic trig

[Anonymous No.11844492]

>>11844490
Oh god that's the one thing i hate....

[Anonymous No.11844495]

>>11844482
Any particular topics?

[Anonymous No.11844496]

>>11844490
i can do it with a calculator and google but not by hand. thats the issue

[Anonymous No.11844501]

>>11844495
see'
>>11844490
this is about where i left off, i took geometry and stat instead of calc and trig

[Anonymous No.11844513]

>>11844496
>>11844501
I've never actually ready it myself, but I've seen Serge Lang's 'Basic Mathematics' recommended here a lot. From my understanding, it's a pretty rigorous covering of highshcool level maths.

[Anonymous No.11844518]

any recs?

[Anonymous No.11844521]

>>11844513
i will look into it, what about khan? any thoughts?

[Anonymous No.11844528]

>>11844521
if you require khan academy for math you really shouldn't be learning math

[Anonymous No.11844530]

>>11844521
Khan Academy, Professor Leonard, and patrickJMT are all good video resources. All of them go up to ODEs, I think.

[Anonymous No.11844531]

>>11844513
>Serge Lang's 'Basic Mathematics'
https://www.amazon.com/Basic-Mathematics-Serge-Lang/dp/0387967877/ref=sr_1_1?dchild=1&hvadid=77790510877526&hvbmt=be&hvdev=c&hvqmt=e&keywords=basic+mathematics+by+serge+lang&qid=1593311011&sr=8-1&tag=mh0b-20

this looks really good, on my wishlist for sure

[Anonymous No.11844537]

>>11844528
i have no money for lessons or books or school

[Anonymous No.11844547]

>>11844530
When i get a chance i'll get the books, i will investigate these resources as well.

[Anonymous No.11844571]

https://hdebooks.blogspot.com/2017/05/basic-mathematics-serge-lang.html
thanks guys found a pdf

[Anonymous No.11844574]

>Yes I study category theory, how could you tell?

[Anonymous No.11844583]

>>11844444
what?

[Anonymous No.11844584]

>>11844518
fuchs fomenko

[Anonymous No.11844589]

>>11844574
is that a young Awodey?

[Anonymous No.11844592]

>>11844589
no its john baez

[Anonymous No.11844594]

https://www.youtube.com/playlist?list=PLMcpDl1Pr-viA25VUkHNmcUkWx9usPgyb

found somethng workable

[Anonymous No.11844600]

>>11844574
>Yes, I study elliptic curves. What made it so obvious?

[Anonymous No.11844601]

>>11844475
Neat, thanks anon. I'm excited to try them out.

[Anonymous No.11844606]

What to read after Spivak for multivariable calculus??

[Anonymous No.11844612]

>>11844592
Can I get a qrd on this guy? It seems to me that he is good with words and has a relatively broad knowlege. But did he actually contribute that much, even to category language? iirc he's a contributer to the n-lab, but not the main one.

[Anonymous No.11844613]

>>11844594
https://www.youtube.com/playlist?list=PL5A714C94D40392AB

https://www.youtube.com/playlist?list=PLIljB45xT85DpiADQOPth56AVC48SrPLc

Don't know how good these are but they are really comprehensive. Good luck anon.
>>11844606
People usually recommend the Hubbard & Hubbard book but I haven't tried it.

[Anonymous No.11844616]

women love category theory, the classes are filled to the brim with young women eager to learn the discipline

[Anonymous No.11844619]

>>11844606
Depends on your interests.

[Anonymous No.11844620]

>>11844616
And you know this how?

[Anonymous No.11844625]

>>11844613
I feel as though serge's book is exactly what I need. From there I may try trig.

[Anonymous No.11844626]

>>11844612
he co-ran the ncat cafe which is where the nlab originates. i'm not an expert in the field but i don't think he has made any significant contributions. he's very vocal though and is usually the first to address math controversies (like the Atiyah riemann hypothesis "proof") which is probably why he's so well known

[Anonymous No.11844628]

>>11844616
It's easy to be "good" in. No intuition or spatial imagination needed, only learning by heart. Proofs are mostly predictable in the sense that you know what anzatz to use.

[Anonymous No.11844631]

>>11844606
spivak's calculus on manifolds

[Anonymous No.11844635]

>>11844620

they just do

[Anonymous No.11844638]

>>11844625
Have fun. Watch out for typos, heard there's some.
>trig
Not quite the same probs but he has a book on Geometry, not sure how good it is tho

[Anonymous No.11844644]

>>11844626
Thanks. Unfortunately he's also a degenerate, like every other every mathematician/physicist who organizes a "diversity" workshop. Welp, at least I know that the other ncafe/n-lab insany, Schreiber, actually knows what he's doing so learning some cat stuff in particular for physics might be worth it.

[Anonymous No.11844662]

>>11844638
My goal is to understand the works of newton. But with the skills i have already there's loads of fun problems from ancient times i could solve. Turing notated is a good book on information theory and computation i couldn't wrap my head around but reccomend

[Anonymous No.11844665]

>>11844662
You mean the works of Leibniz.

[Anonymous No.11844668]

>>11844638
My goal is to understand the works of newton. But with the skills i have already there's loads of fun problems from ancient times i could solve. Turing notated is a good book on information theory and computation i couldn't wrap my head around but recommend

[Anonymous No.11844692]

>>11844638
huh.... it's so hard to really make that leap to calc. Thanks for all the help.

Would anyone happen to knowi any software that's good for problem sets :DDD?!??!?! free/!!????! :DD

[Anonymous No.11844710]

>>11844631
Its a terrible textbook.

[Anonymous No.11844712]

>>11844710
Is it, though?

[Anonymous No.11844715]

>>11844710
why do you think so?

[Anonymous No.11844731]

>>11844631
That's really fugging hard for a first course isn't it?
>>11844692
Personally I would (and did) just try it out. Grab Spivak or Apostol and just run with it, google when you get stuck.

[Anonymous No.11844738]

>>11844606
I quite liked Adams several variable calculus

[Anonymous No.11844747]

>>11844731
Yeah, this is fun too. i skipped to pythagoras's theorem

https://archive.org/details/livesandopinions00dioguoft

here's a cooli frieiei boioik

[Anonymous No.11844779]

>>11844712
>>11844715
Yes, Munkres, Edwards, Zorich, Hubbard&Hubbard, Flanders, and Shifrin are all superior. Incorrect and incoherent proofs, impossible to solve incorrectly stated exercises, terrible explanation of tensors and very little motivation for the concepts introduced. I love Spivak but that book is not worth reading.

[Anonymous No.11844784]

>>11844779
add Duistermaat and Kolk to the list as well.

[Anonymous No.11844839]

http://www.math.unl.edu/~s-kshulti1/Spring2012/notes.pdf

[Anonymous No.11845150]

>>11844665
This.
Leibniz >>> Newton, unironically.

[Anonymous No.11845375]

>>11844631
>>11844712
>>11844715
I used Spivak's Calculus on Manifolds for multivariable calc. It has good exercises, but it'd be very difficult to learn multivariable calc from it alone. It's really supposed to be a kind of review book for grad students (I think). Either way, it wouldn't be a bad idea to use it alongside another textbook (Advanced Calculus by Folland is not a bad book).

[Anonymous No.11845457]

>>11844341
It is true; ive not found love yet

[Anonymous No.11845677]

>>11844200
pic related

>>11844537
don't listen to >>11844528, khan academy is extremely useful and an excellent resource.

>>11844444
absolutely love this book. cheap and super well explained

>>11844613
>>11844606
Hubbard and Hubbard is great, but the new editions have zero pdfs available online. if someone could figure out how to break that stupid DRM they have on the new editions, i'd be eternally grateful

[Anonymous No.11845719]

Why is it that multivariable calculus is always taught in 2D and 3D instead of arbitrary finite nD?
Is it because at some point it stops being "multivariable calculus" and starts being "differential geometry" or "analysis on manifolds"?

[Anonymous No.11845795]

>>11845719
just because it becomes boring and has no actual applications
if you can do it in 3D you can do it in nD, it just takes more time

[Anonymous No.11845801]

>>11845795
There are many applications were you work in finite nD instead of 3D and things are different because 3D is a simplified case.
In numerics we do practically everything in nD.

One particular issue I had was trying to find a Taylor series definition for nD. Everyone just gives the Jacobian and Hessian terms and nothing else.

[Anonymous No.11845816]

>>11845801
>One particular issue I had was trying to find a Taylor series definition for nD.
Literally the first line of the Wikipedia entry
https://en.wikipedia.org/wiki/Taylor_series#Taylor_series_in_several_variables
Multivariable Taylor series are a fairly straightforward generalization if you understand the n = 1 case and a completely trivial generalization if you understand the n = 2 case

[Anonymous No.11845898]

>>11845816
That definition is not really usable. What I had trouble with was finding an explanation for multidimensional Taylor in tensor form and how to work with it

[Anonymous No.11845986]

adulthood means learning with Insights into Mathematics over khan academy

[Anonymous No.11845993]

>>11845986
>still learning things so basic they have Khan Academy videos as an adult
not gonna make it

[Anonymous No.11846002]

>>11845993

Already did, I'm a rational mathematician graduated by WildEggU

[Anonymous No.11846033]

So in physics they use these things called quasiprobability distributions which look like a signed probability measure (can take negative values but the integral over the whole space/set is 1) but apparently these things can be not well-defined for some points? Does anyone know what the fuck these "distributions" actually are?

[Anonymous No.11846048]

>>11844606
I reccomend Hubbard and Hubbard, you can easily find pdf of the older editions online, BUT please remember to use erratas. Some of the parts of the later chapters are really confusing if you do not check them up. If you pulled through spivak from zero knowledge of rigour analysis you will get it also. Just remember to check everything if you cannot figure something out. Sometimes it's just a typo that can cost you half of day to get through.

[Anonymous No.11846052]

>>11846033
"distribution" is a well-defined mathematical concept
https://en.wikipedia.org/wiki/Distribution_(mathematics)

[Anonymous No.11846088]

>>11845719

because multivariable is not for mathematicians its for engineers

[Anonymous No.11846123]

>>11845719
How do I get into manifolds?

[Anonymous No.11846133]

>for me? It's the proof of the classification of groups of order [math]2p[/math]

[Anonymous No.11846166]

>>11846123
For Differential Geometry use DoCarmo's books. It will teach you all about manifolds.
If you also want to do differential forms on manifolds you need a more advanced text. I don't have a recommendation because we used lecture notes for that class.

[Anonymous No.11846167]

>>11845677
Are the new versions that much better?

[Anonymous No.11846169]

>>11846166
This one?
https://www.amazon.com/Differential-Geometry-Curves-Surfaces-Mathematics/dp/0486806995/ref=sr_1_2?crid=1JQJJWSWTULT4&dchild=1&keywords=do+carmo+differential+geometry&qid=1593357959&sprefix=DoCarmo+Differential+%2Caps%2C357&sr=8-2

[Anonymous No.11846175]

>>11846123
Classic Diff Geo text like Do Carmo or Pressley or O’Neill, more advanced text like Lee’s smooth manifolds book, more advanced texts like Tu or Petersen when you’re ready.

[Anonymous No.11846183]

What is a rather "obscure" subject based on algebra and/or geometry that a motivated grad student can learn about?
I really like geometric group theory for example

[Anonymous No.11846188]

>>11846183
homofaggot theory its where you’re a tranny/homosexual-pedophile with weak visual-spatial reasoning that tries to destroy your own field with faggotry

[Anonymous No.11846190]

>>11846188
Take your meds.

[Anonymous No.11846192]

>>11846188
kek

[Anonymous No.11846194]

>>11846183
>I really like geometric group theory for example
what is this actually about?
my uni has a class on it and I am thinking of taking it
what are the prereqs also?

[Anonymous No.11846196]

>>11846188
seething nigger

[Anonymous No.11846197]

>>11846169
yes, first start with that, and later also do the Riemann Geometry book

[Anonymous No.11846211]

>>11846196
enjoy your early grave faggot

[Anonymous No.11846214]

>>11846211
enjoy never having sex incel

[Anonymous No.11846215]

>>11846211
I will.

[Anonymous No.11846217]

>>11846214
reliving being raped by your male relative(s) isn’t real sex, faggot.

[Anonymous No.11846221]

>>11846217
neither is masturbating alone in your room, virgin

[Anonymous No.11846222]

>>11846214
Holy based.

[Anonymous No.11846223]

>>11846211
Pathetic.

[Anonymous No.11846224]

http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf

I'm reading this - anybody want to read along?

[Anonymous No.11846228]

>>11846221
>women and gays can only insult you for not being a promiscuous satyromaniac like them
really makes you think desu

[Anonymous No.11846233]

>>11846228
good thing I'm neither then

[Anonymous No.11846238]

>>11846224
yeah no, I'll stick to my EGA

[Anonymous No.11846239]

>>11846228
Take your meds.

[Anonymous No.11846240]

>>11846233
imagine moralfagging to protect pedophiles and schizophrenic larpers

[Anonymous No.11846244]

>>11846224
That is an 800 page PDF, anon.

[Anonymous No.11846248]

>>11846240
where exactly was I doing any of that?

[Anonymous No.11846254]

>>11846240
>Pedophilia bad
Back to r*ddit.

[Anonymous No.11846258]

>>11842230
I know a guy with a phd in category theory working in software, he doesn't make near this much.

[Anonymous No.11846261]

>>11846258
How much does he make?

[Anonymous No.11846262]

>>11846248
Posturing imperiously like you’ve been in every reply over light hearted banter suggests you are deeply upset desu.
>>11846254
Kill yourself.

[Anonymous No.11846266]

>>11846262
You have to go back.

[Anonymous No.11846268]

>>11844438
this one is great.
Topology by mendleson is a good one too.

[Anonymous No.11846270]

>>11846262
you're literally the one who started seething over me wanting to learn about algebra m8, if anyone is deeply upset about something it's (You).

[Anonymous No.11846273]

zoomer trannies ruined another general

[Anonymous No.11846280]

>>11846273
anime website faggot

[Anonymous No.11846281]

>>11846233 >>11846239
I'll go as far as I can.

[Anonymous No.11846283]

>>11846280

[Anonymous No.11846285]

>>11846273
I'd rather say the guilty one is the one giving the trannies a reason to shitpost, assuming he isn't a false flagging tranny himself.

[Anonymous No.11846288]

>>11846281
>>11846283
keep seething subhuman

[Anonymous No.11846290]

>>11846280
>>11846285
>>11846288
dilate

[Anonymous No.11846293]

>>11846290
You have to go back.

[Anonymous No.11846297]

>>11846290
What does this dilating actually mean?

[Anonymous No.11846300]

>>11846290
cope harder incel

[Anonymous No.11846302]

>>11846297
It's when you dilate.

[Anonymous No.11846306]

>>11846297
You should look it up :^)

[Anonymous No.11846309]

/mg/ - Math General

[Anonymous No.11846314]

>>11846167
It looks pretty clean. Their errata also has a decent amount of changes: http://matrixeditions.com/Why5th.html

[Anonymous No.11846317]

>>11846306
Ok, now what?

[Anonymous No.11846319]

>>11846306
I did but I didn't understand it.

[Anonymous No.11846322]

>>11846319
You know when you go to an optometrist and they dilate your eyes?

[Anonymous No.11846332]

>>11846233
Please don’t use pictures of my wife to shitpost.

[Anonymous No.11846341]

>>11846322
Never been to one. How is that related to this thread?

[Anonymous No.11846387]

I wonder if my ex bf strangling me in bed affected my brain via oxygen deficit or if it's just the age.

[Anonymous No.11846390]

>>11846387
Are you a girl(male)?

[Anonymous No.11846410]

>>11846390
Let's just say I was told to focus on categorical stuff.

[Anonymous No.11846414]

>>11846309
/mg/ - maths general

[Anonymous No.11846419]

>>11846390

[Anonymous No.11846431]

>>11846283
Looks like a schizo post. Math (and /sci/ence) is inherently anime. So are VGs and tech and weapons and...
>>11846228
He admits it!
>>11846414
Keep seething Britbonger

[Anonymous No.11846436]

>>11846387
L O N D O N

[Anonymous No.11846437]

>>11846431
How do I gain entrance to the Shadow World?

[Anonymous No.11846446]

>>11846436
Same island, different kingdom.

[Anonymous No.11846450]

>>11846437
Not sure, but this might help you. The first two paragraphs are the most important part https://imgur.com/r/makeyourchoice/afghJ

[Anonymous No.11846476]

>>11846183
universal algebra, eg in basic algebra II - Jacobson

[Anonymous No.11846488]

>>11846446
Move to America and be my house husband.

[Anonymous No.11846494]

>>11846476
sounds like baby category theory

[Anonymous No.11846497]

>>11846494
Is there any other kind?

[Anonymous No.11846502]

>hurr durr categories = trannies = bad
stale meme nigger faggot

[Anonymous No.11846503]

>>11846488
Nope, sorry. Back to the continent or directly to the grave.

[Anonymous No.11846533]

>>11846494
It essentially is, although it's probably more accurate to say that universal algebra is pre-categorical category theory.
Most of the bedrock of universal algebra is a couple decades older than categories are, and once categories came around universal algebra was largely (but not entirely) killed off because there was now a substantially less autistic way of talking about general classes of algebraic structures for most purposes.

[Anonymous No.11846540]

>>11846533
where do you have this knowledge form, this history tale?

[Anonymous No.11846556]

>>11846224
I always wondered if /sci/ readalongs would go better if people would choose less ambitious stuff
Nobody is just gonna decide on a whim to work through an 800 page graduate AG textbook with you, and all other attempts at one of these fail from the same issue of being too much of an investment, always an entire multiple-hundred-page textbook or something.
But I've never seen anybody try "here's a 40 page expository paper, let's read through it". Maybe it would still fail, the intersection of "not a sophomore" and "not a lazy cunt" here is probably pretty small, but who knows.

[Anonymous No.11846565]

>>11846556
Reading the (small) atiyah-macdonald 100 page ish book on comm alg failed too a couple years ago

[Anonymous No.11846591]

>>11846556
Can we read through a short text on Lie theory?

[Anonymous No.11846603]

>>11846556
https://arxiv.org/abs/1910.02016
Wanna read through this with me, anon?

[Anonymous No.11846605]

>>11846565
Atiyah-MacDonald still requires a significant investment of time and effort to read. Even though it's "short" in terms of page length your pile of exercises is going to be longer than the book by the time you're done, and skipping the exercises isn't really an option there if you want to actually learn anything.
>>11846591
Can't get shorter than Serre.

[Anonymous No.11846618]

>>11846605
Are you referring to the Harvard lectures?

[Anonymous No.11846647]

>>11846618
I was referring to his 70-page pamphlet on complex semisimple Lie algebras, although those lectures are probably the other shortest book available with "Lie" in the title.
Has Serre ever even published anything over 200 pages?

[Anonymous No.11846740]

>>11846314
That does sound neat, damn. I can't get the book around here though, sadly.

[Anonymous No.11846889]

Bros, where's the new thread?

[Anonymous No.11846894]

>>11846889
you're free to make it bro

[Anonymous No.11846897]

>>11846556
I didn't mean to read it to the end, necessarily - but this AG book has an associated lecture currently going with this.

Also, there's /sci/ initiated reading groups going on atm. and they seem off to a good start.

[Anonymous No.11846899]

nu >>11846898

[Anonymous No.11848394]

>>11844518
I'm working through pre-algebra.

When I get bored I farm points in the Arithmetic section.

Honestly, if you need an idea of where to start, start at the top and take all the unit tests until you start fucking up.

[Anonymous No.11848398]

>>11844530
ODE? What's that and what's after?

[Anonymous No.11848530]

>>11848398
Ordinary Differential Equations. That's usually where the non-math major math track ends; after that would be a whole bunch of math major specific courses like analysis and algebra