What's up guys!
Been soooooooooo long since I really used Brilliant. Honestly, I've missed the intellectual stimulation a lot, but my life has changed so I can't always keep some things the same.
I am taking the AMC 10 and maybe 12 just like I do every year. This will be the first year where I have ever not been super ready for the test.
Despite me having forgotten 60-80% of the theorems, tricks, and formulas that I used to cherish and know so well, my mind remains intact!
You guys' challenge: write and submit a document which should in theory bring me up to date on math itself to the best of your ability, such that it is a compilation of all possible formulas, tips, and tricks which may make an appearance on the AMC/AIME!!
For more perspective on what I mean, imagine you woke up the day before a big competition and you had completely forgotten everything you know about math. You still have the same brain and processing ability, but all knowledge was completely cleared. This is what you would want yourself to read!!
What does this mean? Why doesn't this already exist somewhere?
This doesn't exist!!! Trust me (wait maybe don't trust me I haven't done this in a while)! You will find tons and tons of great sites and documents which will contain tons of information, but there is no one single place where you can go to find all information.
The reason for this is probably because "information" such as this cannot be taken out of context, and usually requires hours and hours of foreknowledge and explanation, since mathematical topics have depth and rely on each other.
Because you can assume that I (and hopefully all other people who will certainly benefit from also reading whatever you guys make) have a strong ability to make connections, particularly for me because my brain has already used those paths probably many times before, you can cut the crap.
The winning resource of this challenge is to other resources as rubbing alcohol is to beer.
AKA I don't want it to be at all watered down by tedious explanations. I want you guys to submit hyper-condensed, hyper-expansive, hyper-studiable, hyper-potent guides to math.
I give my word that I will carefully read every single submission that you guys make. In fact, I will probably collect all of the information submitted which I consider relevant and put it into a mega mega resource.
This is what the AMC community needs. Browsing through AoPS, math forums, textbooks, and solutions takes forever and it's extremely inefficient considering the amount of actual knowledge gained.
I hope you guys make this really good! I am so excited to learn everything I forgot and more! Let's do this!
Oh and please, don't fill up a comment with what probably will be a 5-10 page paper! That would be really troll.
Thank you guys so much <3.