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/sci/ - Science & Math


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10255161 No.10255161 [Reply] [Original]

why is intro to abstract algebra so hard bros

>> No.10255192

>>10255161
Because you probably don't have the necessary 'abstract' abilities learned from a topology course or 'into to abstract mathematics via linear algebra' type book.
https://www.math.ucdavis.edu/~anne/linear_algebra/index.html It also helps to watch a full course, there's a bunch on Youtube covering Artin's book https://www.youtube.com/watch?v=VdLhQs_y_E8&index=2&list=PLelIK3uylPMGzHBuR3hLMHrYfMqWWsmx5&t=0s

>> No.10255358

>>10255161
could you be more especific, what did you learn that was so dificult?

>> No.10255369

>>10255358
Proving anything related to normal subgroups and quotient groups makes my subhuman brain explode

>> No.10255371

>>10255369
>quotient groups
Just pretend the /H has made H disappear lmao.

>> No.10255405
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10255405

>>10255369
same, i was totally fine with abstract until i reached quotient shit.
could just intuition all the shit before then, then i just gave up once i got to normals and started a different subject.

>> No.10255430

>>10255405
Same anon
I read a little bit of Lax’s Linear Algebra, I thought he had a nice introduction to quotient groups, atleast within a linear context.

If it helps you could check it out.

>> No.10255438

>>10255430
Based Lax and his good texts with 5 page chapters.
But quotient groups are ridiculously well-behaved in linear algebra and there isn't really a good comparison.

>> No.10255446

>>10255161
Because it's the chad math. Just keep reading your textbook over and over again or look for others on libgen and it'll all eventually click into place.

>> No.10255449

quotient groups are extraordinarily simple, if you can't understand them you probably shouldn't bother with math
quotienting structures is one of the simplest and most intuitive operations you can come up with

>> No.10255465

>>10255449
Fuk u nerd i fuk ur mom lol

>> No.10255469

So, Linear Algebra is my ticket to Abstract Algebra?

>> No.10255475

>>10255469
Nah, linear is simpler than abstract.
It can be used to get a foothold, but shouldnt be used as more than that

>> No.10255485

>>10255475
>linear is simpler than abstract algebra
You mean easier.

>> No.10255487
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10255487

>>10255161
Don't worry OP. I know the feeling. I'm an EE/math double major.

I always thought I was good at math because I did well in required math classes for engineering but once I took real analysis and abstract algebra, I realized I wasn't. :-(

Taking upper level pure math classes dropped my GPA big time.

>> No.10255513

>>10255485
almost the same thing :^)

>> No.10255530

>>10255487
Yeah I know what you mean. It's very common for engineering majors to try to sink their teeth into upper level theoretical physics or pure math courses and end up failing or withdrawing.

Pure math and theoretical physics requires an IQ of at least 120 to succeed in.

An IQ of 100 is sufficient to get through EE. EE is a lot of work but you don't need to have a high IQ for it.

>> No.10255536

>>10255487
Salty mathfag pretending to be an engineer to make us look bad again

>> No.10255576

>>10255446
yeah i think i will just continue to do this
>>10255449
um no sweetie im going to work hard be a math major

>> No.10255698

>>10255475
But it wouldn't hurt to start there, right? It's what I have available for now.

>> No.10256020

>>10255530
EE requires at least 115, which isn't that high. Pure math for a BSc is likely around 115-120.

Do you know how dumb a person with 100 IQ is? They can complete an education degree but not much else.

>> No.10256060

>>10256020
>Do you know how dumb a person with 100 IQ is?
Do you know how dumb the average EE major is?

>> No.10256068

>>10255487
cope harder math larper

>> No.10256082

>>10256020
>EE requires at least 115, which isn't that high. Pure math for a BSc is likely around 115-120.

If EE requires 115, then pure math is definitely a lot higher than 115-120.

You sound ridiculous.

>> No.10256558

>>10255369
>>10255405
>>10255430
What part of this do you not understand
https://en.wikipedia.org/wiki/Quotient_group#Definition_and_illustration

>> No.10256756

>>10255161
because all of intro abstract is throwing a load of 'special tricks' at you that are required for proving things. these tricks aren't intuitive and are used because they "just work".

>> No.10257110

>>10256756
Like what? Everything in intro ab alg was extremely intuitive, except maybe that one direction of that one proof about modding by prime/maximal ideals giving integral domains/fields.

>> No.10257144
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10257144

>>10255161
Intro abstract algebra is comfy af. You're a giga brainlet if you can't grasp something as simple and intuitive as quotient groups.

>> No.10258106

>>10256060
This.

>> No.10258360

>>10255536
Brainlet engineer why do you lurk these threads, you know deep down inside you will never understand what we are talking about

>> No.10260932

>>10255487
>>10255530
I took an introductory proofs class once as part of my math minor requirement. It was pretty amazing. I wish I could go back to school and take a proof-heavy math course.

>> No.10261362

>abstract algebra
meme field