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/sci/ - Science & Math

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9655346 No.9655346 [Reply] [Original]

How to start studying math by my own? I know zero, just basic high school algebra

>> No.9655369
File: 63 KB, 568x453, Untitled.png [View same] [iqdb] [saucenao] [google]
9655369

learn these. everything else follows easily

>> No.9655402

>>9655346
wtf is this slav nonsense

>> No.9655433

>>9655346
You should enroll in something (even if it's just a free online course). It will keep you focused and provide some pressure to pass the course.

In theory it's perfectly possible to pick up some books and study completely by yourself with no external structure/time limit, but it's difficult to stay motivated this way regardless of how smart you are.

>> No.9655501

>>9655369
Not OP but man this shit is way too complicated. Be honest it takes an IQ of 130 to internalize all this crazy math shit. I want to learn statistics and relearn algebra but what's the point if I'm just going to have to blindly memorize shit without understanding it.

>> No.9655506

>>9655369
>easily
backed by empirical evidence of mankind not deriving important theorems based off said field axioms, I can say with what may certainty that many results of your pic do not ‘follow easily’

>> No.9655525

>>9655433
FWIW, I tend to do my best by just opening a book with no structure/time limit and going for it. I aim for a certain amount a text / week but it’s more dynamic then static depending on the relative difficulty I’m having.

If you really want to learn it and/or are disciplined enough it’s ezpz.

>> No.9655534

>>9655346
Start with the Better Explained series, Khan Academy, PatrickJMT and YouTube in general. A good intro text is ‘Precalculus: A Prelude to Calculus’ by Axler because it contains worked out solutions, not magic answers. Another book to read in tandem with it is Courants ‘What is Mathematics?’.

After that pick up a calc book like Stewart’s, Lang’s or Thomas’s, or Spivak, Apostol, Courant or Puskinov if you’re feeling ballsy.

>> No.9655538

>>9655346
http://4chan-science.wikia.com/wiki/Mathematics

>> No.9655549

I appreciate that people understand and want to help others who feel intimidated by maths.

>> No.9655574

>>9655534
Also, look into Book of Proof, How to Prove It and InfDesc.pdf for help with proofs and sources like Polya’s How to Solve It, Houston’s How to Think Like a Mathematician, Zietz’s Art and Craft if Problem Solving, Aclock’s How to Study as a Mathematics Major, etc

And don’t forget Coursera’s Learning How to Learn course!

>> No.9655580

>>9655369
This. Buy Spivaks calculus and do the first two chapters. Helped me get the hang of algebra after a 3 year break.

>> No.9655619

>>9655580
I did the first two chapters independently after finishing Stewart’s book that my school used.

Holy fuck it felt like Spivak took me out in the back and raped my virgin mathematical asshole. I was expecting ezpz review, but that book is solid. I’m not done yet but it’s certainly an excellent book to get comfortable with difficult problems and proofs. Comparitively, I feel like I didn’t learn a damn thing from Stewart and that I’m no better of a mathematician.

I’m also reading a couple linear algebra books, and they’re drastically easier than Spivak’s, so I know it will pay off.

>> No.9655623

>>9655619
And just to be clear, I did learn from Stewart (I did most of the exercises in each chapters after all) but only computation and it did not make me a better mathematician like Spivak is aiding in.

>> No.9657842

Bump

>> No.9658156

>>9657842
for what? was the OP not answered rather explicitly?

>> No.9658236

>>9655369
>>9655501
you cant be serious
this shit is so fucking easy we learnt in first week on engineering at uni for first years
I understand this shit easy game and im a fucking girl ffs
i hope youre trolling please.

>> No.9658265

>>9655501
>laws of mathematical operations, literally the shit they teach you in middle school
>complicated

senpai

>> No.9658356

>>9658236
>>9658265
you don't understand the full implications

>> No.9658364
File: 48 KB, 800x729, brainlet 27.png [View same] [iqdb] [saucenao] [google]
9658364

>>9655501
>it takes an IQ of 130
IQ of *95

>> No.9658395

>>9658356
What makes you think I wouldnt???

>> No.9658407

>>9655369
Why do you need to say that 1 does not equal 0 in P6?

>> No.9658580

>>9655346
>ur drafted for military service
>if u dont come on the day you're imprisoned for a year

what the actual fuck Kyrgyzstan

>> No.9658596

>>9658407
Because it's really saying that there exists an identity element with respect to the multiplicative operation, that is different from the identity with respect to the additive operation. "1" and "0" are just what those particular elements are called in this case.

>> No.9659389

>>9658395
There are extremely difficult problems derived from those fields axioms, and your confidence and belittling nature tell me that perhaps you have a thing or two to learn yourself, as we all do.

>> No.9659567

>>9655346
Look at a basic curriculum of a local uni, buy the books study them

>> No.9659579

>>9655346
>I know zero
Thats a good start. Next try one.

>> No.9659615

>>9658236
Why is your sex relevant? Do you think girls are worse at mathematics?

>> No.9660519

>>9655402
Math license. Cf Yevtushenko: "who said you could be a poet?"

>> No.9660523

>>9659567
>buy
Don’t purchase anything until you know you love the text and will stick to it. Use libgen initially, perhaps eternally.

>> No.9660550

>>9655346
Have you started yet OP?

>> No.9660636

>>9659615
Do yout think girls are monolithic?

>> No.9660804

>>9655346
Just look at a college course syllabus and follow that

>> No.9660819

>>9660636
She is the one who said "I understand it and I'm a girl ffs" clearly implying her ability to understand it despite being female means the concept is so easy even a female could do it.
My question remains; Why say that at all?

>> No.9660850

>>9660804
this good advice for following what sort of structure / order and pace, but often picking the same text is far below optimal. Instructors pick text to lecture from, most often you won't have a lecturer for said book, or anyone to ask question. Just some criteria to keep in mind when planning your own course, I look for popular books like Spivak, Rudin, etc because the answers are all online with great explanations via stack exchange, I also love when I can pair a book with course notes / lectures / a MOOC, and lastly, and this is a big criteria, I really enjoy having a book with complete solutions (not just every odd numbered problem, and not just the end result).

>> No.9660851

>>9660819
I hate having to reply to people who didn't even read the post their replying to

sorry anon, I feel ur pain. and no I'm not implying you didn't read my post, I was not the retard above who said "Do yout think girls are monolithic?", but he very clearly did not read the context, if he read at all.

>> No.9660862

>>9655623
Spivaks will give you everything you need for understanding algebra and calculus. If you want application go to Stewart's because applied is shit anyways.

>> No.9660881

>>9655501

the backwards "E" means "there exists",

now you can pick up your math degree.

>> No.9660888

>>9660862
I read stewart because my calc series required it for my school.

it was shit, but honestly for calculus I feel that's ok, it's largely just applied analysis anyway, so I can see where they are coming from. Unfortunately math classes are more appealing to the lowest common demographic these days, at leas the low level stuff. I'm of the belief that rigor should start in k-12

>> No.9660984

>>9658407
1 and 0 don't refer to numbers in this context, but to identity elements with respect to the multiplication and addition operations respectively
there are fields in which the additive and multiplicative identities are the same; for example [math]\mathbb{Z}/_1\mathbb{Z}[/math]

>> No.9660985
File: 76 KB, 610x660, 1514164860329.jpg [View same] [iqdb] [saucenao] [google]
9660985

>>9660984
>[math]\mathbb{Z}/_1\mathbb{Z}[/math]
fuck you too, hiroshimoot

>> No.9660990

>>9655346
Text: http://tutorial.math.lamar.edu/

Video: http://patrickjmt.com/

>> No.9661037

>>9658407
because if you didn't you could prove 1=2

>> No.9661139

>>9655346
Off topic, but OP you can do it. I went from failing Algebra 2 in highschool in my senior year to taking College Algebra -> Pre Calculus -> Calculus I -> Calculus II in University.

>> No.9661168

>>9655369
More of these please.

>> No.9661186

>>9661168
Why? These are ordered field axioms, btw. There's not really 'more'... But if you're interest is in brief and compact math notes, check http://tutorial.math.lamar.edu/

And if you expect to use the pic you asked for more of, you need to do exercises and problems. The pic is from Spivak's "Calculus", with course notes here: http://math.uga.edu/~pete/2400full.pdf.. The first two chapter's have a lot of difficult problems using said axioms, with an answer book available libgen.

>> No.9661198

This is a very common response to these types of questions but..

Khan Acadamy.

You'll get a year's worth of material from highschool in just about a month, well that's how it was for me back then.

Just keep practicing every test until you hit 100% on each one. Then you'll know you're ready to move on. Khan is also very easy to understand. The math subjects are also very nicely categorized.

I'm not trying to suck Khan Academy's dick or anything but, they really helped me out in the past. Just fucking try it man.

>> No.9661200

>>9655538
this guide is ass, same reason asking /lit/ for reading prereqs is bad

>> No.9661205

>>9661198
>++

>>9655549
many like to mount their soapboxes to look down on people, but others feel no need and actually enjoy when people share an interest

>> No.9661218

Is there a list each subject compiled, from say, the end of high school math to the echelon of the millenium problems

>> No.9661222

>>9661218
yes retard, there's plenty. But you're only at the end of HS school math, and have need to concern yourself with the 'echolocation of the millennium problems' for at least a decade or two.

>> No.9661232

>>9661222
No all you need to do is point me in the direction of a list

>> No.9661238

>>9661232
what do you think undergrad -> grad is? There's curriculum all over the internet. there are no shortcuts

>> No.9661243

>>9655369
If you honestly think this, you are retarded.
>Brainlet who thinks every structure worth investigating is a field.
Yes maybe it does follow easily from what ever subhuman tier field you study. I bet you do applied math you subhuman.

>> No.9661246

>>9661186
Omg you do analysis, how fucking dead inside are you?

>> No.9661247

>>9661243
arrogant brainlets are the stinkiest

>> No.9661256

>>9655346
HУ ЧTO БPATAH ПOКAЗЫБEКAЛИ)))))

>> No.9661262

>>9661246
I believe I'm quite alive inside, but I was not aware that analysis kills the soul, so perhaps I'm wrong.

>> No.9661270

>>9661262
Degenerate.

Algebraic number theory is only true path.

>> No.9662068
File: 21 KB, 400x500, 1520808707208.jpg [View same] [iqdb] [saucenao] [google]
9662068

>>9655501

>> No.9662445

>>9661270
They aren't mutually exclusive you know.

>> No.9663795

>>9655369
We take these laws for granted, if you pick up any old Hardy 'college mathematics' book, you spend the entire book proving these laws which are now trivial to do, but back then it wasn't commonly taught in schools.

>>9661168
>Most Common Errors in Undergrad Math
https://math.vanderbilt.edu/schectex/commerrs/

This is pretty good too, and free https://infinitedescent.xyz/

>> No.9663818

>>9655501
Dude they teach that stuff to 8th graders. The might not use the "there exists" symbol or epsilon for an element, but I definitely went over these axioms in 8th grade.

>> No.9664010
File: 92 KB, 700x875, littleronny.png [View same] [iqdb] [saucenao] [google]
9664010

>>9655501
>he doesn't have an iq of 130

>> No.9664011

Anyone able to recommend a good textbook that goes from pre-calc to undergrad level?

>> No.9664016

>>9664011
What is Mathematics by Courant does.

>> No.9664027
File: 735 KB, 542x691, Precalc.png [View same] [iqdb] [saucenao] [google]
9664027

Not OP, but will this textbook teach me everything I need to know to start Calculus I? I am familiar with basic algebra & geometry.

>> No.9664028

>>9661200
How so? The only thing I disagree with is sitting through the probability stuff on khan academy for precalc.

>> No.9664574

>>9664027
That will do. I myself used Stewart's Algebra and Trigonometry.

But if you want a more rigorous approach, consider Oakley's Principles of Mathematics or Lang's Basic Mathematics.

>> No.9664911

>>9658236
>im a fucking girl ffs
post tits or BTFO!