For olympiad students: I have now published some new algebra handouts. They are:
- Introduction to Functional Equations, which cover the basic techniques and theory for FE’s typically appearing on olympiads like USA(J)MO.
- Monsters, an advanced handout which covers functional equations that have pathological solutions. It covers in detail the solutions to Cauchy functional equation.
- Summation, which is a compilation of various types of olympiad-style sums like generating functions and multiplicative number theory.
I have also uploaded:
- English, notes on proof-writing that I used at the 2016 MOP (Mathematical Olympiad Summer Program).
You can download all these (and other handouts) from my MIT website. Enjoy!
Power Overwhelming 