/sci/ - Science & Math

I'm just an undergrad but i've done most of the babby shit. I've taken real/complex analysis and algebra and all of their prereqs

realistically that shit is just math 101 though, it gets much harder

>>5487561
Higher tier maths don't matter unless they are applied. There is really no point in discussing super theoretical math unless you are just masturbating your brain. Not that there is anything wrong with that, but in this world we use models to simplify our problems.

Anyway, the hardest thing I have done was Stochastic calc and stochastic PDEs in my econometrics classes

Advanced is anything that you haven't learned yet.

>>5487571
Why are you even here?

>>5487582
Why are you even here? I made valid points.

most of /sci/ has problems solving quadratic equations

the second largest portion probably doesn't know or care about anything beyond ode's or complex analysis

the small number that could intelligently discuss something like lie algebras or de Rham cohomology are on so infrequently that it is a waste of their time to even try to discuss such

>>5487585
Name a form of math that has no applications, with the exception of things that are specifically designated "reacreational mathematics". And of course, if it's required for something else that has applications, then it counts as having applications.

>>5487586
Any retard with basic comprehension of analysis, topology, and group theory can do differential geometry

>>5487591
what exactly is your point, and how does it relate to the post you are citing?

>>5487586

It's not that we are on infrequently, it's just that we do those type of things in grad school all day so /sci/ is the place we go to make fun of the other two groups you mentioned... well, at least that's why I'm here.

>>5487585
No - you claimed pure math is mental masturbation. I guess art, literature, music, theoretical physics, etc is mental masturbation to you as well.

>>5487589
>name maths that does not have applications
>but you can't name maths that don't have applications.
you didn't really give me much of an option here. I don't know of anything maths that has "specific designations" for being recreational do you? If so enlighten me.

>>5487597
More like, what the fuck is there to talk about with de rham cohomology or lie algebras, with the exception of research level shit, which /sci/ is certainly unqualified for. Unless someone has a specific question, why would anyone bring it up? And unlike the high schoolers who ask questions here, people at a higher level are more likely to put more effort into figuring things out themselves, or to ask at a real place like stackexchange.

>>5487598
"pure math" is the study of extremely abstract mathematics. Of course it doesn't have application. It's pure math. It's math for the sake of math. That is what pure math means.

>>5487598
Results from "pure math" most likely won't be used in our lifetime so I could see how it's mainly just seeing how far your brain can take you.

>>5487603

That too, but seriously, who comes to 4chan for these topics? Also, it's not like we get homework that we need to ask help for, like the 3 threads about integrals in the first page just now.

Hey guise I came here for help, and I was wondering if anyone knew how I would go about in answering this question :
Make a conjecture about the first the prime number that are the sum of two squares, which are 2, 5, 13, 17, 29, 37, 41, 53, 61, 73

>>5487612
>>5487615
Which is why topology was used to test the statistical significance regarding cosmic microwave background radiation. Or why knot theory has applications in biology and combinatorics is used in computer science and optimization. And why analysis is used in fucking everything.

>>5487622
And Brouwer is dead. thanks for proving my point.

>>5487612
>>5487615
>masturbating your brain
Is just derogatory. Don't you see beauty and elegance in mathematical structure?

>>5487622
Last I checked, NONE of those was abstract math.

>>5487620
anybody, please any help would do. It's 3 am and I'm tired.

>>5487626
Except they are.

>>5487624
I don't take it as derogatory. masturbation, of whatever organ, is good for you. whether your dick or your brain.

>>5487626
what on earth are you calling abstract math if not topology? are you using it as a synonym for logic and category theory or what?

>>5487591
And this is what I mean

>>5487629
nice one bro. you showed me. tell me how abstract they are if they have application?

/sci/ considers "rigorous" treatments of single variable calculus to be advanced ... you aren't /sci/ enough unless you've had your mom purchase a copy of spivak for your birthday

>>5487636
You tell me

>>5487638
It's a running joke from http://youtu.be/FOZO0WWULLA?t=30s, you fucking autist.

>>5487640
alright then. maybe I am out of the loop. Tell me some application of:
The collatz conjecture
The meaning behind the distribution of primes
Modern application of Diophantine Equations

>>5487644
Didn't you read the thread. You apply them as lubricant for mental masturbation.

>>5487642
>http://youtu.be/FOZO0WWULLA?t=30s
>running joke
>from 2011
>that i was unaware that a book long recommended even on the textboard was mentioned in some faggot ass video 2 years ago makes me autistic

right

try again newfriend

>>5487636
VI Arnold and his cats want a word with you.

There is no applied math. There's math. All of it is abstract; if not, it wouldn't be math. Some of it happens to be useful for certain problems outside of math. That is all.

>>5487642

It isn't a joke. /sci/-at-large truly believes Spivak is the be-all end-all of math.

>>5487561
Why limit yourself to two "b"s? Why not stick fifteen in there? Babbbbbbbbbbbbbbby. Looks stupid? That's what I thought.

>>5487646
>he doesn't even know le epik /sci/ memes

>>5487644
Collatz conjecture is considered recreational. And, unfortunately I'm not enough of an expert in number theory to tell you expain to you the impact of the Riemann Zeta function on other areas of mathematics, but all of math works together. The connections between number theory and complex analysis in particular.
>Diophantine Equations
Given that they can simulate turing machines, I think they have some pretty neat connections to important applied math.

Theoretical CS

college algebra

i learned the binomial theorem

>>5487651
Eh. About a year ago /sci/ was spammed with calculus book recommendation threads (it still is). Analogous to /prog/'s SICP, a couple people started to spam "Spivak" in all of these. Look in the archive if you don't believe me.

>>5487656
>computer science
>math
pick one

>>5487661

I was one of the people spamming it, I believe you. I also believe and know the whole masturbating over Spivak thing is much older than a year ago.

>>5487661
>SICP
>Spivak
Not a good comparison though. SICP is the sort of book you can continue to learn from because it informs your thinking how to program no matter what level you're at. Spivak is mostly just a well written calc book without much to teach someone once they're past calc.

>>5487663

And I still start calculus book recommendation threads. It's fun to watch the silly arguments when the board is particularly slow.

>What does /sci/ consider advanced?

In California after the regular course your first upper division courses would be a proofs course usually taken after linear algebra. From there analysis/algebra are both required and are proof base. This forms the course of a math major. From there you would pick what you are interested in. For applied types pde, complex variables, numerical analysis, statistics, probability, differential geometry. For pure/computer stuff number theory, discrete, combinatorics, cryptography, numerical analysis, linear programming etc.

However as an engineer you need select topics from complex variables (controls) and pde (fluids/thermo), but not a full course as aught by the math department.

UCLA mechanical engineering teaches its own 3 quarter sequence of upper division math for engineers.

>>5487724
I'm kinda not surprised that (what I assume to be) a UCLA person gives a bland, by the book answer to a question that seems to be a borderline troll post.

God bless you, alma mater, for producing students who are boring and not very intellectually engaged or even smart, despite somehow being good at school.

>>5487724
>pure/computer stuff
>pure/computer
California confirmed shit tier

>>5487586
>he thinks Lie algebras and deRham cohomologies are hard math

That's babby freshman undergrad stuff, you pleb.

>>5487574
this.

aha well said.

>What does /sci/ consider advanced?

0.999.. = 1
division by zero
Is infinity a number?
order of operations
monty hall
the existence of complex numbers
measure theoretic probability theory in "who wants to be a millionaire"

>>5487984
Hahaha spot on.
This guys been here too long.

>>5487972
can you show a university- any university- where that's listed on the suggested freshman courseload? Or hell, anywhere on the courseload before senior year?

>>5487998
canyouevenbeserious.yourfavoriteextension

>>5487998
I did in fact learn both of those in my freshman courses. I'm not gonna give you the name of my uni though, because I want to avoid further shitposting.

>>5488010
If you took them in your freshman year, you are probably very, very advanced. I really doubt that there's any university on the planet that treats that as a normal freshman subject

>>5488010
if your uni is the only one that offers that as a part of a regular freshman curriculum, he's probably right to say that that isn't "babby freshman stuff," you're just part of an extreme outlier. Surely you can find him some other uni you don't go to

>>5487984
I'm thinking of studying maths at university, what year will I learn to solve these and are there any text books/ websites that can prepare me in advance for these topics? like a harder version of khan academy?

>>5488027

>0.999.. = 1
number theory

>division by zero
abstract algebra

>Is infinity a number?
various times in various classes, starting with calc 1

>order of operations
never or abstract algebra, depending on if you count ring definitions as providing the order of operations.

>monty hall
probably none unless you do a seminar on bayesian probability

>the existence of complex numbers
probably never, sometimes gets casually discussed in physics classes

>>5488015
I had a professor who was considered elitist. Many students failed his course.

>>5488016
Not gonna waste my time going through other unis' programmes. I can try to find the textbooks I used in my freshman year which covered the contents.

>>5488042
>I had a professor who was considered elitist

Still pretending like you're not just telling the obvious lies of someone who likely hasn't even entered college- there'd be a reason he'd have been called elitist. It'd be that that isn't anywhere close to normal freshman material.

>>5488042
I think you haven't taken these subjects at all. At the very least, if you had formally studied lie algebras you'd be aware that the background knowledge is substantial enough that it'd be insane to expect if of freshman, even at a top tier school your classes would be barren.

>>5487984

Welcome to /sci/

>>5488067
>>5488069
I'm honestly saying what I learned. If you don't want to believe me, ignore me. I don't care.

>>5488010
"I uhhhh I could tell you my university but YOU'RE JUST A SHITPOSTER YEAH THAT 'S WHY I WON'T TELL YOU"

>>5488073
see:
>>5488016

It's weird that you can (totally really) study graduate-level mathematics but not understand that ExX !-> AxX

>>5488073
Even if you were telling the truth (you're not), surely you can realize that one person taking those classes a freshman doesn't imply that it's "freshman babby tier math"

>>5488079
I never said every uni teaches it as early as mine did.

>>5488082
If I was able to learn them at this low level, they are surely not too advanced. I wouldn't consider myself very smart.

>>5488097
>I never said every uni teaches it as early as mine did.

If you're saying it's normal babby tier freshman stuff then yeah you kinda did

>>5488115
I'm saying every non-retarded freshman could easily learn it like I did. That makes it babby tier.

>>5488118
you think most freshman already have backgrounds in differential geometry and abstract algebra?

>>5488118
Seriously, just stop

>>5488125
Of course not. That's why they are supposed to learn them in their courses.

>>5488126
Stop what? We are having a conversation. You are free to ignore this thread.

>>5488132
>>>5488125
> Of course not. That's why they are supposed to learn them in their courses.

Then it* is not babby-tier freshman stuff*, babby-tier freshman stuff is the stuff that freshman actually learn so they can take later courses.

I am the person you think you are "having a conversation with," you are not. You are protesting to try to defend some absurd sense of pride on an internet message board after you've obviously made a fool of yourself,

>>5488126
is completely on the mark. You're just backpedalling at this point.

>>5488163
>babby-tier freshman stuff is the stuff that freshman actually learn so they can take later courses.
You are agreeing with me. I don't see your problem. Why do you think you need to attack me when you just stated that we are in agreement about these subjects being "babby tier"?

>>5488173
I'm not either guy that's been responding to you, but holy shit you are one of the worst shitposters I've seen in a while.

>>5488173
This is awful, I'm done

>>5488180
Why? What did I do? The thread asked what math we consider advanced / babby tier. I replied by stating that I learned certain things in my freshman year and therefore don't consider them advanced.

>>5488182
What is your problem?

>>5487561
>Why is everything on here babby math?

Because we have standards

>>5488201
>Because we're elitist

Seems legit

>>5487597
This, basically. We need breathers too you know.

>>5487561

>Where does higher math begin?
Wherever you are on the ladder, it is three steps higher up.

Is calculus higher math?

>>5488428
It could be. See http://en.wikipedia.org/wiki/Derivation_%28abstract_algebra%29

>>5488437
Algebra is not higher math.

>>5488444
Define "higher math"

>>5488448
Math that isn't trivial babby tier freshman level.

>>5488449
Every math is trivial when you understand it.

babby's first scheme theory?

babby's first scheme theory?

>>5488458

So much yes.

>>5488458
But you don't understand every math.

>>5488473
>Reading graduate texts
>Not reading research papers only
So much babby in here.

>>5488517
>reading research papers
>not discovering and developing all the aspects of maths on your own
So much babby in here

babby tier inter-universal Teichmüller theory

>>5487561
TA had us solve:
S (x^2+2x+4)/SQRT(X^2-4x)dx
Where the first S is and intergral sign.

This problem is what I call advanced.
> have fun try hards

>>5488749
lurk more and lrn2latex

>>5488633
lol I did this in high school

>>5488199
What university do you go too?

>>5488749
>Where the first S is and intergral sign.
>Where the first S is and intergral sign.
>Where
>the
>first
>S
>is
>and
>intergral
>sign.
>Where the first S is and intergral sign.

This guys

>>5487626
Not anymore, that is ;)

>>5488749
This is Calc 2 material. I did this in my first semester of undergrad at a community college.

Proofs for Lebesque integration and beyond, only because that's where my proof class stopped.

PDEs are a bitch too because they can be fucking impossible to solve and my professor was terrible. Arrive 15 minutes late (when he even bothered to show), no prepared notes, free association lecture, and so on. Guy once covered the same topic twice (heat equation) because he forgot where we were. He also canceled four classes without notification.

It's the nature of the Gaussian distribution. The higher you climb on any ladder in life, the less people who will be at your level. Almost everyone has done high school math. If anyone of any age can post here, naturally this makes up the bulk of the questions. A decent fraction of those go on to do undergrad math/engineering/science. This is the math that's still applicable to common real world situations. But there's far far far more complex math than this if you continue studying math. I won't pretend I know anything about it because I'm at the previous level. Must suck for those guys way up there though, they got no one to talk to about what interests them.

>>5487651 Spivak is the be-all end-all of math.

He's an introduction to the Calculus and nothing more.

>>5488408

It's not elitist to set standards that immediately put down the argument that grade school math can be thought of as difficult.

>I can't do math because I sucked at it when I was 11 so now I'll not even attempt to calculate a percentage

>>5488749
Christ this shit is high school level
>gtfo
>also lrn2LaTex

http://en.wikipedia.org/wiki/Millennium_Prize_Problems

But it barely gets out of baby tier math.

>>5488749
$\frac{x^2-4}{2} + 2x + 4\ln|\frac{x}{2}| + C$
???