Clemens Bartholdy

did you check out the course I commented? If you want I can create sort of an online study group for it. I also have to do stuff in that course for a course I have starting in a week

@pie

I don't think there is much you can do

@pie that's hard. Maybe it could be an appropriate question for academia SE for what to do in that situation

but I highly recommend trying to find a way to study in a good place. Search of international masters program with stipend and what not, and try to adjust your study topics in such a way that you best satisfy the requirements of these programs.

after highschool I fooled myself into thinking that I knew most of what was there in analysis books already (boy was I so wrong)

I can also say something about self studying. When one self studies a book, it maybe tempting to skip the technicalities and just try to understand the idea but I think one only realize the depth of the matterwhen they deal with the technicalities

@pie where I think many of many classmate also they are in similar situation (like in sense of school finish -> direct to uni) . Life is not a straight line

I think if you can do even one pure math book properly, that is be able to understand each and every proof + do each and every exercise probably your understanding of math most beginning master student

and in Uni, I just destroyed almost every course I took and ended up finishing two semesters in one, and that was without disciplined studying in the semester

@pie bro I read Munkres, and mostly without doing anything properly eg doing exercises

@pie there are Stipendium offers for masters. I started my bachelor at 22 :)

I can give you a tip. In uni you don't do one topic very deep, they try to give you view of many topic

@pie rudin is not an easy book

@pie I mean you can choose a concrete goal maybe. Something more applied. Perhaps a project. Buy some analysis book and start working to it

I suppose it also depends where you study. I can suggest trying to get into a European uni in your next stage of studies

@pie have you tried reading a book on math? It's hard to progress unless you have a disciplined study

I think joining university helped me

@pie have you tried studying other fields?

I mean, don't want to be that guy, but none of these things are intuitive to me as what would be expected by people of the internet

@RyderRude what exactly do you want to do

agag-gathmann.math.rptu.de/class/alggeom-2014/alggeom-2014.pdf

algebraic geometry for under grads assuming minimal pre requisites

well my university professor has made the most insane course eve

category theory and PDE?

category theory + abstract algebra or category theory + topology

calculus on manifolds and real analysis?

physics and mathematics?

@ILikeMathematics dont they only have winter admissions

need to make it precise

ill think more tho

@BenSteffan drawing some open sets I notice that the intersection is not path connected when it unifies to the entire space

I mean it works when you involve all the sides in gluing , but not when just a pair?

could you elaborate why you think that

*an

@BenSteffan you've idea to how to finish ti with the method I started with in the post math.stackexchange.com/questions/4974113/…

are u a bonn undergrad @ILikeMathematics

id say it is a philosophy of math book

That book is much more than topoi

did you ever end up finishing it? Was it worth it? how long did it take?

I am perpetually getting through it but it often just feels so irrelevant the things in it for my entire bachelors studium. The book has some pretty deep insight on some matters, but it's hard to keep the motivation up

@BenSteffan I am working through this book but it takes forever

@Shaun I haven't do the turnstile thing

I see, this was probably the most on topic and relevant comment @MauroALLEGRANZA

Yes but this point I have not seen in any book mentioned explicitly @BenSteffan

Yes, but then really the statement should be $A \implies B <=> \text{tautology}$, right? Otherwise how else can you say that $A \implies B$ as a total must always be true?

What does contra positives have to do with this question? @NaïmFavier

Mistake @Lonaldin..

thats what I calling playing tennis