I am a '94 born aspiring mathematician, programmer and a little bit of drummer from Nepal. I have been an avid follower and lover of mathematics since my seventh grade. Although I do not even consider my self anywhere near the "genius" or "prodigal" zone, I really love and appreciate the beauty of mathematics. I am particularly interested in the unsolved problems of mathematics and would love to live to see someone (most preferably me :)) prove or disprove (the latter of which is very unlikely) the Rienmann's hypothesis.
I am currently doing my A-Levels (from Budhanilkantha School in Kathmandu, Nepal) and have taken an "Advanced Mathematics" course.
Even though i am very much interested in mathematics, I do not have much idea about it. I try to learn stuffs from the internet but i can't seem to find the resources and am also confused about where to start.
I am 16 and have recently finished my eleventh grade. I know some basic single variable calculus, complex numbers...(Euler's formula and stuffs) and also have some idea on partial derivative, double and line integral and differential equations. Besides these, i do have some faint notion as to what the riemann's hypothesis is, Cantor's work on his continuum hypothesis, Godel's incompleteness theorem, Poincare's conjecture, Golbachh's conjecture and stuffs though i lack the ability to explain them mathematically. as you can see my mathematical knowledge has some severely big blank gaps. This is because i have had no one tutor me and have learn't most mathematics by myself, on the internet, watching documentaries and readong some books on these ( Ian Stewart's Cabinet has helped me greatly)
In Mathematics; Number Theory, Topology and Abstract mathematics are few of my topics of interest and i would like to go further into these subjects and possibly pursue these subject as my career ; Number theory being my first priority
So could you guys please advise me on what should i do now, where do i resume my mathematical journey, what next??? I would really appreciate you time and help on this regard
.....sorry for the long pointless backgroud, i really thought that it was necessary for me to mention these points