Lets say you had to give someone books that will best teach them

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>>8763066
Start with the fundamentals and move on from there.

>>8763093
>no basic mathematics
>no how to study as a mathematics major

>C++

laughingirls.jpg

>>8763066
Just copy paste the physics curriculum for a top university and read that. Pretty much all of it can be self taught except for the practical stuff. I personally don't attend lectures or lessons except for the first one each year (it's obligatory) and get mostly As.

>>8763117
I would advise going to lectures by good faculty members. They usually impart wisdom not in any books, if the course is at all advanced.

>>8763093
Do I go from left to right, top to bottom?

>>8763093
no
>>8763066
just read the wiki
http://4chan-science.wikia.com/wiki//sci/_Wiki

>>8763093
This is fucking terrible but I keep seeing it posted. Is it just one retard, or is it many retards?

>>8763066
I have a list from some other threads like this, it's pretty fucking long.

>>8763177
also
https://www.ocf.berkeley.edu/~abhishek/chicmath.htm
https://www.ocf.berkeley.edu/~abhishek/chicphys.htm
http://www.topology.org/human/?a=/tex/conc/differential_geometry_books.html
https://web.archive.org/web/20150423201942/http://www.amazon.com/gp/richpub/syltguides/fullview/r1ge1p236k3ysv
http://www.staff.science.uu.nl/~hooft101/theorist.html

also you can google "good book for learning *insert subject area*" and see what math/physics stack exchange or overflow has to say

If I want to just self study all day, how do I get the money to do so?

>>8763195
>>>/biz/ they'll tell you how invest your money """wisely"""

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Read this after reading Grothendieck's work. It will blow your mind.
https://en.wikipedia.org/wiki/Igor_and_Grichka_Bogdanoff#Publications

>>8763066
Since you aren't being very specific, I'll assume this person is at an A+ level of mastery in precalculus 12, and instruct them from there.

1) How to Solve It

2) Art of Problem Solving Precalculus

3) Stewart's Calculus

4) Lay's Linear Algebra

5) Grimaldi

6) Baby Rudin

7) Introduction to Linear Optimization by Dimitris Bertsimas and John N. Tsitsiklis

8) Hamming's book on Numerical Analysis

9) Differential Equations With Applications and Historical Notes by George Simmons

10) Fraleigh's Abstract Algebra

11) Rosen's Elementary Number Theory

12) Sipser's TOC

13) Graph Theory by Murty and Bondy

I think once they've done all those they have a pretty strong base in a lot of major areas of mathematics. From there they can do what every undergraduate does after 3rd year and pick and choose what areas they want to learn more about.

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What are your thoughts on being an autodidactic scientist or engineer?

>>8763250
It's possible, but mostly a thing of the past. Guys like Muntz and Ramanujan aren't as common these days because even though there are more people leading to more outliers, there is also way more information to take in.

>>8763257
What about engineering specifically? I know that an employer wouldn't take a self taught engineer seriously but Kia Silverbrook is pretty much an autodidact (dropped uni at 16) and a very successful engineer.

>>8763260
Sure it's possible. Good for Kia. Most people probably need around 4 years of schooling or more to be a solid engineer.

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>>8763250
>the Black Widow II will never see service

>>8763250
An autodidactic would always gone further had they been taught formally. Reinventing the wheel is just a waste of time and imo nothing special since it's been done before.

>>8763371
How is it reinventing the wheel? You just learn exactly what you would learn in a normal class except you use textbooks/online lectures/other resources instead of actually going to college.

We're not talking about people who never even went to primary school and have to learn the basics of addition and subtraction at age 25

>>8763066
phd's in both degrees

so whatever books mit/princeton/harvard/berkeley require for their required courses for said degrees

>>8763397

The important part is learning how to create the wheel, the knowledge

It's about improving your know how

It's good to reinvent stuff by yourself

>>8763165
Is this good?

>>8763165
>no "How To Solve It"

into the trash

>>8763233
>>8763233
>no Basic Mathematics

lol look at this fucking retard

>>8763260
why are you looking at one single person as if that's what almost anyone else does? Going to college and reading some extra textbooks on your own is by far the best thing you can do. doing the 100% autodidact thing is really unnecessary in 2017 and will probably hurt you more than anything.

>>8764418
just read the wiki and look around to see what you're intrested in

>>8763165
are you saying i should learn french just so i can read all those other books?

can yall motherfuckers recommend some meta-books? like if a neet with no responsibilities or vices (games and shit), but plenty drive, wanted to be an autodidact? i've already gotten a 2 year degree because it was free. accepted to 4 year but too expensive.

Are there any serious proof-based statistics text-books with applications in R? Like Casella's "Statistical inference", but with R.

>>8764499
What's wrong with How to solve it?

>>8766787
What's wrong with your reading comprehension?

>>8766922
>>8766787
Shh, it's retarded

>>8763233
this list is garbage, lmao.

>>8763093
if you actually read all of this, you'd be more intelligent than 99% of the human population.

>>8763165
Why would you use basic mathematics over simmons pre-calculus? that's stupid. same with stewarts calculus over apostol

>>8763066
No specific books, but you'll want to learn up to ordinary/partial differential equations, linear algebra, and vector/tensor/multivariable calculus before moving on to the complicated physics.
Getting started with physics will require some knowledge of each of these (but you can pick it up as you go along, and most books will teach you), and you will have to learn electrodynamics, quantum mechanics, and thermodynamics at the same time.
Electrodynamics, quantum mechanics and thermodynamics are all fundamental to physics, but one is not more fundamental to another, so expect some confusion at first while you're tying concepts together.
You will pick up concepts in statistical mechanics, relativity, functional analysis, laser physics, nuclear/atomic physics, particle physics, etc... and eventually come to quantum field theory, which should neatly wrap up everything you've learned, and everything should click into place.

>>8763093
how many times do we need to tell you to stop pushing this awful list you hopeless imbecile

>>8764418
yes, it's a great list, but it takes years so please talk to someone if you're going to seriously follow it

>>8763093
>With the apocrypha
Papists get OUT

>>8763250
you legally can't be an engineer without having a college degree.

Here's my express-route-to-Calculus for brainlets:

First you read this:
https://www.amazon.com/Algebra-Trigonometry-2nd-Judith-Beecher/dp/0321159357
>Any edition is fine
>Read cover to cover
>Do all odd-numbered exercises and check answers
>Take notes on theorems and proofs

Then you read this:
https://www.math.wisc.edu/~keisler/calc.html
>Print version also available
>Same as above: take notes and do all odd-numbered exercises
>Make sure you understand all proofs and theorems

Then you read this:
http://www.people.vcu.edu/~rhammack/BookOfProof/
>Print copy also available for sale

And now you are on the precipice of no longer being a brainlet. From here you can read Spivak or Apostol's calculus, or tackle a Linear Algebra text -- I reccomend Kunze and Hoffman's Linear Algebra. Try to buy international editions wherever possible.

>>8763093
Brainlet here. What's wrong with this list, the individual texts?

>>8768610
and why would you want to be an engineer?

>>8768620
opportunities for self employment with the least amount of capital input and highest chance of success.

>opportunities for self employment with the least amount of capital input and highest chance of success.
>>8768631

Lol what the fuck are you smoking? You work in an office and go to meetings and write documentation for 75k.

What subject is the final frontier in math? Where does the math monk's journey end?

>>8768636
>You work in an office and go to meetings and write documentation for 75k.

>he thinks you need to work for someone elses company to do this

i already make 30k$ just doing contract CAD work from home. once i get my stamp i'll be doing it full time.

>>8763066
Whole thread is full of brainlets.

READ the fucking sticky.

Saged.

>>8768647
rational trigonometry

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>>8768576
>sola scriptura
>but fuck the books we don't like

>>>/out/ >>>/trash/

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>>8768618
They're not the hardest books you can get for each subject.

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start by learning the basics

>>8769017
wewlad

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>>8769017

>>8768618
They're representative of the textbooks that you would encounter if you were in an average state school for a generic first/second year science program. They're not the "good" books. They're the butt steak to the sirloin that is Spivak, etc.

>>8769163
Also, someone stuck the Bible and a C++ tome in there for some reason.

>>8769150
>https://www.amazon.com/Algebra-Trigonometry-2nd-Judith-Beecher/dp/0321159357
This wasn't my highschool math for some reason....

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>>8769150
you forgot babby's first number theory textbook

Artin - Basic Mathematics
Hardy, Wright - Introduction to Number Theory
Rudin - Principles of Mathematical Analysis
Dieudonné - Calcul Infinitésimal
Gamelin & Greene - Introduction to Topology
Artin - Algebra
Farenick - Algebras of Linear Transformations
Polya, Szego - Problems and Theorems in Analysis
Atiyah, Macdonald - Introduction to Commutative Algebra
Schechter - Principles of Functional Analysis

>>8769166
>C++ tome

That's not "The C++ Programming Language".

>Bible

Needed to trigger and repel the godless commies hijacking academia.

>>8769281
artin has never written a text called basic mathematics...

>>8770048
anything he has ever done is basic mathematics

brainlet

>>8770048
He probably meant Lang

>>8770097
Artie Lange...

>>8769017
Is Divine Proportions a meme?

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The distance learning course I'm looking at has this as its essential mathematics module. I have some existing (but fragmented and rusty) knowledge of everything in units 1-5.

* Roughly what level does this go up to in terms of traditional education tiers and/or the books suggested ITT?
* (related) If I wanted to self-learn more advanced maths after this, where would I start?

>>8772383
>Roughly what level does this go up to in terms of traditional education tiers
calc 2

>>8771915
It is in the sense it is nothing special. However if you are really interested in elementary geometry/trigonometry and would like to see it approached without transcendental functions, then it is ok.

>>8772385
Thanks anon

>>8763093
Just bought the red one

Wish me luck

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>>8769017
>with geometric aid
top kek

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>>8769150
>random signals and noise
>naive lie theory
>local fields

>>8768620
Lots of rock hard cocks

>>8770048
shit yeah, i meant lang

>>8769150
10/10

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also, r8 my book/hand/handbook

>>8763066
No books, learn from lecture notes.

>>8771886
this library is really pretty, do you have a link where I can download?