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/sci/ - Science & Math

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4762576 No.4762576 [Reply] [Original]

What math background does someone need to study
1)Elementary Physics
2) Intermediate
3) Advanced
4)Quantum n' shit

>> No.4762578

1) Algebra
2) Algebra
3) Algebra
4) Algebra


I'm not kidding.

>> No.4762582 [DELETED] 
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4762582

>>4762576
>Quantum n' shit

>> No.4762583

>>4762578
You'll need Calculus for diff equ though.

>> No.4762584

>>4762583

you just need to integrate easy shit. most of the methods of solving DE's involve finding roots and dealing with matrices

>> No.4762585

You niggas be high or something?
True, you only need algebra for 1,2 and 3, but quantum? Boy, you need to know as much as a math major for that.

>> No.4762593

Mostly linear algebra

>> No.4762603
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4762603

>>4762576
1)What is Elementary Physics?
2)What is Intermediate?
3)What is Advanced?
4)What is Quantum n' shit?


I doubt you can answer any of those questions.

>> No.4762605
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4762605

>>4762576
Your understanding of physics difficulty is cute.

>> No.4762607

>>4762576
>implying Quantum is harder then "advanced"

>> No.4762654

>>4762607
>>4762605
>>4762603
I wrote this in order to avoid getting flamed.

If it was written like "what maths do I need for physics", I expected to get "you are not specific", "physics has many branches, you're retarded" etc, so I just wrote it like this.

>> No.4762667

>>4762654
poor fellow.
I've fallen in this trap, too. But apparently no matter how you phrase something somebody is gonna call you a retard around here.
Anyhoo. Pretty much what the first poster said. With a solid foundational algebra you'll do fine. Afterwards, you'll know what else you need to know.
(If not, you are not suit for physics. This is not an insult but the truth)

>> No.4762689

>>4762607
tell me something harder than quantum.

>> No.4762719

>>4762689
my cock

>> No.4762722

>>4762667
>With a solid foundational algebra you'll do fine

For what? Shitty high school physics?
Seriously? This is what you think?
WTF?

>> No.4762730

>>4762722
I said he needs only algebra to start and as he immerses himself in the world of physics, he should know where to go from there.

>> No.4762732
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4762732

>>4762689
SR, GR, QFT, QED, QCD, Soild State, etc.

Basic Quantum is shit teir, it is a "toy model". It is not used by real physicist doing actual physics.

Only college freshman, high schoolers, or a complete fucking moron (engineers) think Quantum is difficult.

It is actually very very very trivial to anyone with a fucking brain.

>> No.4762736

basic algebra and calculus for newtonian mecanics and intro to special retlativity, then you need some better calculus to move on to lerangian and hameltonian mecantcs which leads to clasicle field theories. then some abstract algebra and you can strat with intro to quantum mecanics. after than you can do some analises and more complicated abstract algebra and eventualy ddiferential geometry to do general relativity and quantum field theory.

>> No.4762738

>>4762730
He actually needs algebra, Calculus 1-4, and Matrix Algebra for the most basic shit. Although most of these can be learned concurrently, if the lessons are planned properly.

>> No.4762740

>>4762732
Only college freshman, high schoolers, or a complete fucking moron think Quantum is difficult.
im assuming you mean undergrad quantum here?

>> No.4762746

>>4762732
>Tell me something harder than quantum
QFT, QED, QCD
>THAT IS QUANTUM, you retard.

>> No.4762765

>>4762746
>>4762740
i think he is trying to say non-relativistic QM. a common issue with people who haven't taken anything beond non-relativistic QM is that they call it QM.

>> No.4762806
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4762806

>1)Elementary Physics
Algebra and Trigonometry, maybe Geometry and some familiarity with Differential & Integral Calculus
>2) Intermediate
Vector and Multivariate Calculus, Ordinary Differential Equations, Partial Differential Equations, Complex Calculus, Probability Theory (both Continuous and Discrete), and Matrix Algebra. [Basic Statistics for lab work wouldn't hurt]
>3) Advanced
Linear Algebra, Abstract Algebra, Advance Group Theory, Group Representation Theory, Lie Algebra, Differential Geometry, Complex Analysis, and some Real Analysis.
Also you need to rapidly become aware of all special functions: Green's function, Bessel functions, etc...
>4)Quantum n' shit
Linear Algebra, Abstract Algebra, Advance Group Theory, Group Representation Theory, Complex Analysis, and some Real Analysis.

>> No.4762865

>>4762806
merci beaucoup

>> No.4762938 [DELETED] 

>>4762806
Are you a physics major?

>> No.4763009
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4763009

>>4762806
Are you a physics major?

>> No.4763084
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4763084

>>4762806
Are you trolling or are you retarded?
Since this was too specific to be called retarded
i say you're trolling.
>Anyway. This guy just listed random branches of maths.
He even threw a [Basic Statistics for lab work wouldn't hurt] to make it more believable. i'm impressed. That is some good trolling. Anyway. As it has already been stated many times. You'll need mostly algebra.

>> No.4763118

>>4763084
you think you can do physics without calculus ?

>> No.4763128

>>4763084

Physics major here.

YES you need to know multi-variable calculus, linear algebra, and complex statistics, in order to understand quantum physics.

>> No.4763131

>>4763118
MOSTLY.
okay yes. algebra and calc, and some scarce concepts from other disciplines.
But all that random shit listed was an act of trolling.

>> No.4763137

>>4763128
Since you are a physics major, could you tell us if all the things listed are needed, or was it just a random dump like that guy claims?

>> No.4763147

>>4763145
>if
of

>> No.4763145

>>4763137
Not the same guy, but most if that shit is random as fuck.

I'd also add that differential equations is quite useful for quantum physics.

>> No.4763266
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4763266

>>4762806
8.5/10

>> No.4763272

>>4762806
lel.
I'll state it once more.
Algebra and calculus

>> No.4763280

You need the representation theory of lie groups to understand the spin in quantum mechanics.

>> No.4763375

>>4763266
He doesn't seem like a troll. This one >>4763272 looks more trollish.

>> No.4763386

>>4763131
You just proved that your knowledge of physics is pretty much nonexistent, you are probably a biologist or engineer.

>> No.4763445

>>4763386
explain to me ten how all that shit listed is needed for physics.
On a side note the troll who posted this must be rubbing his hands right now.

>> No.4763447

>>4763445
Highschooler detected. The stuff >>4762806 listed is the bare minimum needed for understanding physics. I'm not the guy you were replying to btw.

>> No.4763452

algebra
calc single var
calc multivar
linear algebra

>> No.4763455

1. Calculus 1.
2. Calculus 2 and 3.
3. Differential Equations and Linear Algebra.
4. Real Analysis, Complex Analysis, Vector Calculus, Fourier Analysis, Tensor Calculus

>> No.4763454

>>4763452
No.

>> No.4763477

>>4762806
This is definitely accurate on a grad school and beyond level.
You don't need this much as an undergraduate, but you better believe that you'll be playing with the baby version of all of it.

>> No.4763485

>>4763477
None of the shit he listed goes beyond first year undergrad.

>> No.4763494
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4763494

>> No.4763491

>>4763454
undergrad? yes. add in diffy eqs at advanced.

>> No.4763503

>>4763491
>calling simple undergrad shit "physics"

shiggidy

>> No.4763519

>>4763491
diff eqs are elementary and among the first things you'll need in any introductory physics course.

>> No.4763534

>>4763503

It is physics. It is elementary physics.

>> No.4763569

>>4763494
Some people spend so much time and energy on their trolls, it's amazing

>> No.4763571

>>4763569
Some people spend so much time on learning physics and math.

>> No.4763641

>>4763455
Random, but are there videos online for learning tensor calculus? If I look hard, I can find some on complex analysis (not an entire lecture from a uni, not khanacademy), but there's barely anything above linear algebra on youtube. Any help?
Anyone?

>> No.4763732
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4763732

>>4763641

>> No.4764163
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4764163

>>4763732

>> No.4764227

>>4764163
Wat?

>> No.4764240

>>4764227
I was just bumping this thread.

>> No.4764328

>>4763641
bump, I've never seen something like that and would love to.

>> No.4764349

>>4763491
>diffy eqs at advanced
Are you guys calling junior year courses advance?

>> No.4764353

http://ocw.mit.edu/courses/mathematics/
Have a look here.

>> No.4764381

>>4764353
Some theory but no videos so far.

>> No.4765378
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4765378

>>4764381
why the fuck would you want to learn calculus watching videos?
Just get a book and then read a visual representation one to establish an intuition for the concepts.

But anyway. If you really want to do it like this, download this torrent. it's got some videos on Calculus. Don't know how advanced it goes though.
Ctrl+F Calc and see what it says.
http://thepiratebay.se/torrent/6144091/Math_Tutor_DVD_Complete_Collection

>> No.4765414

Lots of stupid advice in this thread I majored in civil minored in physics. You need all the regular stuff physics 1-3, calculus 1-3, linear algebra, ODE.

Your school should offer a year long sequence in mathematical methods, usually taught by the physics department. You will use books like these, they cover what you need. You will rarely need a full course in any one subject.

www.amazon.com/Mathematical-Methods-Physical-Sciences-Mary/dp/0471198269/

www.amazon.com/Mathematical-Methods-Physics-Engineering-Comprehensive/dp/0521679710/

www.amazon.com/Advanced-Engineering-Mathematics-2nd-Edition/dp/0133214311/

>> No.4765438

>>4762576
>1)Elementary Physics
Pretty much just calculus up to vector calculus
>2) Intermediate
Calculus of variations, PDEs, complex variables
>3) Advanced
Transform theories, Real and complex analysis
>4)Quantum n' shit
Abstract algebra, Topology

>> No.4765503 [DELETED] 

I'm 15 and studying quantum mechanics, you need multi-variable calculus, first year undergraduate physics knowledge, linear algebra, so on.. It's not very hard to get to that level if you're dedicated and actually put the time and effort into getting there.

>> No.4765526

>>4765503
You're 15 and know enough group theory, complex analysis, and Hamiltonian/Lagrangian mechanics to be doing QM?

>> No.4765552

>>4765526
What parts of group theory do you need to know for quantum?
Just curious, finished second year and picking third year modules (done a module in groups and rings already)

>> No.4765555

>>4765526
Don't overestimate what people know when they start learning QM. Even in uni we didn't start from classical or group and work into QM, we learned non-relativistic QM then picked Foundations of QM as an option a year later. Don't be such a hater.

>> No.4765592

>>4765552
Well, you need an appreciation of group/representation theory to understand how spinors really work, spin, the Wigner-Eckart theorem, molecular symmetry, etc. All stuff typically covered in a text like Sakauri. I'm on my phone so sadly I cannot type out all of the details but any text such as Tinkham would work. Hell, to even appreciate first quantization in the full Heisenberg rigor you need to understand the Lie group/Lie algebra basis of Moyal brackets.

>> No.4765606

>>4765555
>Even in uni we didn't start from classical or group and work into QM, we learned non-relativistic QM
How can you understand QM without a decent understanding of mechanics? I guess you can forget electrodynamics if you do not want to learn about potentials with boundary conditions involving such (like any atom/molecule/almost any application of the Schrodinger equation), but how can you do any of those quantization problems without understand the classical counterpart? I wouldn't be able to understand anything if someone just handed me <span class="math">\hat{H}[/spoiler] without understanding how the hell it works.

>> No.4765631

>>4765627
That's a good thing, right?

>> No.4765627
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4765627

>yfw this thread has turned into a circlejerk
>yfw that's all /sci/ is nowadays

>> No.4765640

>>4765606
Sorry i wasn't very clear, i meant we didn't start learning Lagrangians, we used classical counterparts of course but we cover advanced classical and emergence of classicality in quantum later on.