Math problem (high iq math nerds only)

[mogger123]

I studied pure math. Actually has quite little to do with numbers and calculation per se, its more about logic and proofs.

Also probably got brain damage from it which is why I'm 26 yo KHHV and can't talk to women JFL

what was the hardest math unit you did?

I mainly focused on applied stuff but I remember real analysis and measure theory being difficult

 

[lordgandy2000]

what was the hardest math unit you did?

I mainly focused on applied stuff but I remember real analysis and measure theory being difficult

The thing about math is literally everything is fucking hard, you don't even have to go to "advanced topics" to realize that you aren't nearly as smart as you think you are. (e.g. combinatorial problems generally don't need any math background, even lay people understand the problem, but can be very challenging)

But my favorite topics were measure theory and also group/ Galois theory!

 

[mogger123]

The thing about math is literally everything is fucking hard, you don't even have to go to "advanced topics" to realize that you aren't nearly as smart as you think you are. (e.g. combinatorial problems generally don't need any math background, even lay people understand the problem, but can be very challenging)

But my favorite topics were measure theory and also group/ Galois theory!

yeah i hate all that combinations + permutations crap

 

[Andremln]

I studied pure math. Actually has quite little to do with numbers and calculation per se, its more about logic and proofs.

Also probably got brain damage from it which is why I'm 26 yo KHHV and can't talk to women JFL

If you had to make a book route from beginner to a more advanced math level, which books and in what order should one read? i know that personal preferences may be involved but what would you recommend from high school to early college years of math? and by college i mean studying degrees like engineering, physics or pure math like in your case

 

[lordgandy2000]

If you had to make a book route from beginner to a more advanced math level, which books and in what order should one read? i know that personal preferences may be involved but what would you recommend from high school to early college years of math? and by college i mean studying degrees like engineering, physics or pure math like in your case

The foundational introductory subjects are:
1) Multivariable Calculus & Vector Calculus. Textbook used by most colleges is the Rogawski Calculus textbook
2) Linear Algebra. This also tends to be the first time you'll encounter proofs. Textbook I used was Nicholson's Linear Algebra with Applications, but there's a lot of other good ones

Once you get into a pure math major you can go in many directions but again the two foundational topics before you branch out are:
1) Real Analysis. Textbook I used was Principles of Mathematical Analysis a.k.a. "Baby Rudin"
2) Abstract Algebra (Groups, Rings, Fields etc.). Textbook I used was Algebra by Michael Artin