The ones who did such works which had no sign are called genius.

Don’t think that you’re a genius or not, think whether you can become one. The great people you think of being genius in the past were themselves common people but their talent led them to become history!

Study your subject of passion in the deepest details and you’ll find yourself a genius. ]]>

And I noticed you mentioned about “literature”, which contribute to one’s mathematical thinking. Out of my favorite in it, I’d like to ask: Do you like literature? What kind of book would you usually to read besides math? ]]>

The fact, I think, is that mathematicians are a huge team that constructs the huge building of Mathematics, consisting of rare designers and chief engineers who are definitely great genius, and countless builders and workers with varies of levels. Not everybody is talent, but everybody is doing his work in the process. ]]>

I think it is also relevant to ask how to distinguish between studying mathematics and taking various exams on mathematics. I am not sure if you wrote about this before (if so, I would appreciate a link), but it seems to me that you have thought about this.

]]>However in my first year at jenio secondary school i found it extremely difficult to comprehend due to i am considering the mathematics as difficult as running 200km without resting!. ]]>

I have an idea,I am sorry if it is silly(I am an amateur mathematician)

Before 15th or 16th century the equation was thought to be having no solutions and rightly so.During that time nth degree polynomial was thought to be having less than or equal to n roots.But when was considered as a number we got nth roots of unity which are clocks modulo n and using those numbers we could prove many theorems which are very difficult to be proved using elementary methods.

Now from Lagrange’s theorem every nth degree polynomial equation modulo a prime has less than or equal to n roots modulo p.The equation

has no solutions.Is it possible to extend the set of natural numbers like real numbers to complex numbers such that every polynomial equation of nth degree has exactly n roots.May be if we do

that we may have generate something useful numbers like nth roots of unity. ]]>