Undergrad Interesting maths problems -- can you share some?

[moriheru]

I would like to think about some interesting problems or interesting theorems to which one could find a proof. If you should know any I would be delighted if you could share them. Thank you very much.

 

[jedishrfu]

How about the Millennium Problems?

http://www.claymath.org/millennium-problems

and these known problems in math:

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics

If you aspire to be Ramanujan then you could use it to explore some topic and come up with new ideas.

 

[jedishrfu]

Another source of math problems for me has been the book:

Math 1001 by Prof Elwes

Its a survey of a large variety of math topics using a few paragraphs to describe each one. For some he'll mention that its an unsolved question or theorem.

https://www.amazon.com/dp/1554077192/?tag=pfamazon01-20

Its pretty cheap too at $20 or less paperback at $13