13 Comments
 
CollierV

How To Become Math King?

Get a PhD in Math from MIT or Princeton. 

"If you always put limits on everything you do, physical or anything else, it will spread into your work and into your life. There are no limits. There are only plateaus, and you must not stay there, you must go beyond them." - Bruce Lee
 

You get good at math by solving problems, not reading problems. How strong are your fundamentals? AoPS has some good problems but it's mainly geared towards middle and high schoolers preparing for competitions. I'd start with intro texts like Book of Proof to build a solid understanding of sets, equivalence, maps, proofs, real numbers; and Analysis I to understand calculus. Try to solve every problem in those books; these books alone will help you improve in solving basic math problems. Then move on to whatever you're interested in: algebra, topology, geometry, probability, etc. You can also try Mathematical Circles: Russian Experience, which was a favorite of mine in high school

 

Thanks for your response. I’d like to improve my fundamentals, hence an unorthodox box series like AOPS with relatively hard problems might be a good choice. Don’t you think that the book that you recommend wouldn’t be ideal to improve ones fundamentals, but rather something you would read once they are solid? Thank you

 

I found working through Euclid's Elements highly rewarding. Dry as bones in the Nevada desert, but damn, that guy really uses the Lego Tower principle of Mathematics to full effect.

...and the Truth shall set you free
 

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