Pure or applied mathematics. Which is better and why?
bitch please, nothing is better than pure maths
app maths it's for those who doesn't have the guts to go pure
>>8120199
Can you give a good definition on what applied maths is and what pure maths is?
>>8120199
Pure is more fun but applied will probably have better job opportunities.
>>8120199
>pure v applied
I get that physicist degenerates use these terms, but it is far too ill-defined a false dichotomy to be used by actual mathematicians.
Maths student here. Applied maths should be banned
>>8120232
You're probably a maths student at a terrible university then.
>maths
UKfag detected, I'm one too - where do you go?
>>8120235
King's college.
>>8120241
That's why then.
>>8120246
I think I'd hate app maths in any college. What do you do?
>>8120253
>maths
Ugh. When exactly will this meme die?
>>8120253
What do you mean what do I do? If you mean what applied modules I've done then I've done Theory of ODEs (started out as something that I had no interest in, ended up wanting to take it into third year), Stochastic Processes (stats module - took it out of curiosity and now I'm looking into doing summer research in it).
Later on in third and fourth year the applied modules are some of the best there - they already require a good grounding in "pure" maths and this "applied" stuff very much require "pure" maths.
It's very difficult to draw a distinct line between pure and applied - if you say that you never want to do anything that has "applied" maths in it, then you're stuck finishing university at second year.
To give you an idea, stochastic processes requires: >>8113235
bitches love pure maths
All of these butthurt pure math fags make me embarased to be in the same field as them. Good luck teaching applied mathematicians, and faggot engineers how to take derivatives for the rest of your lives. God knows thats all you fags are useful for.
>inb4 applied mathematicians hahaha kekekekek LEL bro woah super kekable meme bro
>>8120324
good luck licking corporate anus for the rest of your life, applied mathfag. There are few jobs more low stress than being a college instructor... you don't have to do research, you don't have to work summers, you don't even have to grade homework. Sure the pay is garbage, but when you got a job as easy as lecturing college students, who gives a shit?
>>8120343
t. bottom feeder
>>8120343
>implying you can't do that with an applied math degree
>>8120343
enjoy your $30,000 salary and angsty undergrads
>>8120370
You're missing the point. That guy was saying that pure mathematicians are forced to become instructors, and he was making instructor work out to be unenjoyable and unfulling. Even if those with a pure math degree had to become instructors (which is untrue), instructor work is hardly bad at all.
Maths is a tool that's used to solve problems in physics, chemistry, algorithms, electronics, Engineering etc.
Whats the point of pure math? I assume trying to solve currently unsolved mathematical problems, which will serve as a tool in the said fields.
Not a lot of job prospects come to mind. The top 10% of pure math people might be talented enough, but the remaining 90% will have a hard time
In my country we don't really make this distinction I think. Are you applying math constructions to specific models or spaces? Is computation theory for linear algebraic models applied math?
If so, that's basically what research focuses on.
Or is applied math restricted to financial/engineering models?
Because that can also be an academic pursuit.
>>8120401
You have succeeded in making the most redundant post in 4chan history.
>Anon can you help us build this reactor?
>Anon can you help develop a model for this complicated reaction?
>Anon can you help us save this person's life by performing surgery?
>Anon can you help us build a better plane?
>>8120408
Thanks
>>8120404
applied math= higher focus on applied math
paure math/math= topology shitton of analysis
>>8120418
>applied math=applied math
Nice definition, you should write a paper about it.
Is applied math fun? How hard is it to get into applied math if you take the typical pure route?
>>8120433
I will after I've written the one I'm doing now that is about how banging your mom
>>8120436
you will porbably lack computational/numerical skills
>>8120440
Your a bit late man, the academic world is done with her by now.
>>8120199
>Pure or applied mathematics. Which is better and why?
Applied
Because if not
what's the point?
>>8120775
literally wew lad
>>8120216
You can give a pretty good set of guidelines by which multiple people would follow the guidelines and end up with very nearly the same clustering.
If you tell people that applied mathematics is using mathematics to solve a real world problem or develop a technique or prove some property holds with a real world (n.b. Real world here also includes computers) aim in mind while pure mathematics need have nothing whatsoever to do with the real world and is about logically proving results from axioms , then most people will be able to identify tgat some parts of mathematics are very applied like statistics and fluid mechanics, others are very pure like algebraic number theory, while others can be pure or applied depending on what the focus is like partial differential equations.
And these clustering a will be quite robust since most people will arrive at clusterings that are almost the same.
>>8120268
An undergrad isn't really qualified to talk about what the difference is between pure and applied maths since any mathematics post doc or PhD student whether pure or applied will know everything that a mere undergrad would.
All the "pure maths" you list as prerequisites for stochastic processes shouldn't really considered pure maths but fundamental, basic maths that any working mathematician, pure or applied ought to know.
I mean to call undergraduate linear algebra or measure theory or analysis "pure maths" is as silly as trying to say that addition and subtraction are pure maths.
Pure and applied is a vague grouping or notion that only really makes sense at postgrad level.
>>8120436
Applied maths is the most fun in my opinion.
Just look at the juicy kinds of questions and problems that get solved in operational research.
http://www.statslab.cam.ac.uk/~rrw1/research/unsolved.html
http://www.statslab.cam.ac.uk/~rrw1/talks/index.html
And optimal control theory.
If you're strong in analysis and differential equations then you should get into variational calculus and from there try optimal control theory.
>>8120775
It seems to have no point initially, but its point becomes evident when physics and engineering catch up. Sticking to what's already known is for wage slaves.
>>8120206
> cure cancer using "pure math" theorem
> rake in the big bucks while pure mathies are still slaving away as the university's bitch, making garbageman money and inventing more theorems which they will never reap benefits from
The tougher question would be
Pure or sex. Which is better and why?
Although it's hard to compare anything to needs such as sleep, eating or sex, I'd probably go with pure math here.
Mind you, I'm not an autistic virgin sperg, I've had sex 2 says ago. I'm an autistic charismatic person.
>>8121234
I think a better question would have been love instead.
Was the sex that you had with someone that you love or just sex for the sake of your ejaculation?
>>8120957
If you never apply it, physics and engineering never catch up
I am ashamed to say that I know the definition of cohomology with coefficients in some ring, but I cannot do simple integrals, let alone solve ODEs.
Of course, that may just mean that I am a shit mathematician in general, not a 'pure' one
I suspect all of the greats of the past had a very thorough grounding in physics/applied maths.
>>8120931
it is like you are retarded without knowing it yourself.
kys scum.
>>8120199
>applied mathematics
build bombs, maximize the yields of bombs, murders people, basis of the satanic usury financial system
>pure maths
pure
>>8120199
There is no such thing as pure math without applications.
>>8121275
What IF there actually exist branches in applied math that people think are even cooler than topology?
applied math can be thoguht a little like physics but the difference is that there aren't really ANY boundary to what you want to model also you learn to be good with computers which makes you even better at it.
conclusion:
If you want to be REALLY good at modelling and have wide or even narrow interesting fields you want to measure and create ways to model it choose applied math.
>>8121273
Maybe that is just a trick to raise your stress levels and starting to underestimate him.
In that case it wasn't very retarded because it seemed to work pretty well..
>>8121283
>it is like
do you know what it means?
either way I think he is a scum and should kys.
>>8120401
Why would you use algebra or analysis when you could just guess the solutions to an equation randomly?
Because it is likely to go faster. More advanced theory can give us newer tools to attack problems. Those new theories are not gonna make themselves.
>>8120199
the real problem with applied mathematics is that it's used by a lot of people who don't understand the (simple and beautiful) theories underlying the things they apply, so you end up with a bunch of horribly inconsistent notation, lots of different names for what are essentially trivialities, etc.
examples: all of statistics and physics
>>8121286
>khs
>>8121286
Yes it usually means
>it seems to me that
which means you told him he successfully made you frustrated with how unintelligent he seemed. You should not teach people how to do that. They can use it as a weapon on you.
>>8120199
Math without applications is philosophy tier. Might as well jerk off over "cannot know nuffin".
>>8121288
The notation only seems inconsistent to you. Those in the field have no problem understanding what is being written.
We have a similar example in mathematics with partial derivatives of higher order where we have several different notations for the same thing. For example, the following all mean the same thing:
[eqn] \frac{\partial ^3f}{\partial x^2 \partial y}\,\,\, \partial_{xxy}f \,\,\, \mathrm{D}^{(2,1)}f\,\,\,f_{xxy} \,\,\, f_{xxy}^{'''} \,\,\, f_{112} \,\,\, f_{112}^{'''} \,\,\, f_{,112}[/eqn]
>>8121297
You usually don't know if it will be applicable before you've built it and seen what it can do.
>>8121275
Haha, wow. You are autistic.
Physicist here. How does it feel to know that we're functionally better at maths than you?
>>8121290
bait also you are the samefag from start.
kys.
>>8121309
Engineer here, more interesting to figure out how to build cool stuff with it imo, so it feels quite OK.
>>8121309
please go undergrad shitfag
>>8121318
OK I believe you.
>>8121314
>MFW got a first in physics undergraduate and doing a masters in mech eng.
Switching to engineering has really taken the pressure off this year, and I'll be very employable with my physics background. This is how you win.
>>8121325
>yfw you can switch from maths to any other degree easily
good luck if you ever try to switch from anything else to maths though
>>8121325
Anything undergrad is rather easy. At least over here. Just keep at it and do your best and you will probably be fine.
Nah time to go out in the sun and derive a way to incorporate a new functionality into muh framework.
>>8121330
Try switching from maths to experimental physics :)
>>8121334
Do I have to say it twice?
>yfw you can switch from maths to any other degree easily
The "any other" part refers to a degree that isn't maths, e.g. experimental physics :)
>>8121344
I said try :) There's no way you would succeed.
>>8121350
Why?
People doing maths here easily switch to physics, engineering, art, languages whatever. Some even opt to take modules from other degrees rather than switching completely.
All you have to do is fill out an "unusual options" form which always gets approved if you're a maths student but is there since it's a university admin thing.
A student in physics will have a very tough time getting a module in maths approved however.
>>8121355
Ah, you're talking about early undergrad. Any degree can switch to any other then mate, there's no specialisation.
I'm talking about postgrad/masters level.
>>8121374
Obviously for postgrad it's pretty impossible, but for masters it very much is - for maths masters is just the fourth year of undergrad.
Both are cool but of low value outside academia.
t. real scientist
>>8120260
Literally how Brits say it dickhead.
>>8121225
I know you were trying to meme, but garbagemen actually make decent pay.
Will you shut the fuck up?
>>8121823
underrated
someone get these redditors into a chatroom
>>8121815
Projecting anon? What happened to you?
>>8121823
>implying this piece of shit thread was going anywhere
>>8121851
You're disgusting anon.
>>8121941
you can ask that about most of /sci/ desu senpai
>>8121941
What does circlejerking over pure or applied math have to do with /sci/?
>>8121986
The fuck nigga, don't say that :/
I do applied maths at St. Andrews uni and it's pretty great 10/10 would recommend (provided you like calculus)
pure mathematicians are some of the most emotionally distraught people i have ever seen
has there been any psychology studies on pure vs applied mathematicians?
You are choosing between applied mathematics and non-applied mathematics. If you keep using the word PURE like this you are going to crash your life. Alright let's do this with rigour: consider that mathematics is a language, unlike, for example, physics, so your course will basically consist of formally learning new meanings and consistently using them. Now, if we were to choose between Non-applied English and Applied English which one would you choose? Consider that, just like with Applied Math and Non-applied Math, there is plenty to learn on both. Consider that applied math could advance our understanding of how brains work, it could advance AI research and more, thus it contains ALL PURE MATH because it can model it's medium, the mind.
Going back to useful English, or whatever language, versus useless English, tell me which one a reasonable man would choose. Remember, all useless English is absolutely Useless, your teacher would go out of their natural way to make sure that Everything that you learn there is Absolutely Useless. Which one would you choose... let me remind you that you are throwing away the opportunity of learning USEFUL things to learn the Antithesis of Useful. Tell me, which one, would you choose? Consider that your question of "Non-applied or applied mathematics" is itself solved within Applied math. Consider that everyone who answered it, had to use applied math to answer it. Now calmly, slowly, answer me which one would you pick, considering you are rational, opposed to irrational?
>>8123101
>Want to do research in mathematics
>Get diagnosed with Asperger half way through undergrad
>My best retort "if I have Asperger then the majority of math students probably qualify by these standards"
Fuck
>>8123101
There's also chinks. I know a chink qt that's going for her Math MS or PhD.
>>8123101
>>8121941
>all those removed comments
>>8122592
Your argument is fucking stupid and you should feel bad.
Non-applied shit is for rich people that don't need to work or can do with a shit salary, I mean, you already got a flat or live in the mansion (or at least a decent big house) with your parents, so that garbage salary is more than enough to afford some food and tools, everything else is already covered.
Hardly someone not in that situation is dumb enough to study pure math or physics knowing they are screwing themselfs up, but, there is people for everything...
>>8120931
Uh it does not only make sense to postgraduate students you elitist fuck, I did my minor in undergrad and the distinction is still pretty clear to me. Sounds like an American problem.
>>8124530
That's because american education is behind, they spend some of their postgrad catching up on maths they should have already covered.
>>8120206
this but unironically
>>8120433
he is a fucking idiot
he probably ask questions and answers them himself
