Starting Research in Pure Mathematics: Ideas for Self-Study

[Barioth]

Hi everyone, as of for now I'm gona start my third semester in Pure Mathematic in university

So far I love it, this summer we could postulate to help some of out teacher with their research. It sure did sound interesting altough I had to pass on it since I'm gona take summer school to make it faster.

My question is,
I'm looking for a sub subject in mathematic that I could go in my library buy 1 or 2 book, take the summer to go trough them on my own and then ''TRY'' to do some research on my own. For the fun of it. So what subject would be interesting? Is it too soon to go on and try to do some reseach on my own?

Thanks
Ps Sorry for the grammar.

 

[mathmaniac1]

I'm looking for a sub subject in mathematic that I could go in my library buy 1 or 2 book, take the summer to go trough them on my own and then ''TRY'' to do some research on my own.

I don't look for a particular subject.I just do things that I find interesting and thus I end up in a lot of subjects.

But surely there are many subgroups:group theory,galois theory,number theory,algebra(try to solve cubics,quartics,quintics...etc)

Check google and look up at wiki.

I think you will find the wikilink helpful.

For the fun of it. So what subject would be interesting? Is it too soon to go on and try to do some reseach on my own?

I like algebra,geometry,graph theory,graphs,number theory and recently solving the Rubik's Cube mathematically has been a fascination of mine.

And Try to read "Mathematical Circles"

Sorry for the grammar.

It looks fine to me.Best of luck
Cheers
-mathmaniac

 

[mathbalarka]

So what subject would be interesting?

That's probably hard to answer unless being specified which are you interested on. I will suggest trying the conjectures posted on OEIS. There are several sequences in there and several authors have conjectured about some properties of them. Here is one from my personal collection : Is A212266 infinite? Actually, it's most probably is but sieving is not in my subjects of interests.

The conjecture given above is just an example, choose what interests you most.

Hope this helps,
Balarka
.

 

[Barioth]

Thanks for answering guys, I really appreciate it!

 

[Sudharaka]

Hi everyone, as of for now I'm gona start my third semester in Pure Mathematic in university

So far I love it, this summer we could postulate to help some of out teacher with their research. It sure did sound interesting altough I had to pass on it since I'm gona take summer school to make it faster.

My question is,
I'm looking for a sub subject in mathematic that I could go in my library buy 1 or 2 book, take the summer to go trough them on my own and then ''TRY'' to do some research on my own. For the fun of it. So what subject would be interesting? Is it too soon to go on and try to do some reseach on my own?

Thanks
Ps Sorry for the grammar.

Hi Barioth, :)

Welcome to MHB! It might help in reading some undergraduate math journals to get an idea of what you could do and where to start.