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Some expository math papers.

8/13/2025

I wrote two expository math papers so far, one on measure theory and another on combinatorial game theory.

At Euler Circle, I wrote two expository papers. The first one was on measure theory and the Radon--Nikodym theorem and the second one was about the universality of Konane in combinatorial game theory.

Measure theory is the study of areas, lengths, and volumes. The subject started when mathematicians were trying to define a way to assign lengths, areas, and volumes to sets in Rn\mathbb{R}^n. This paper builds up measure theory to finally prove and explain the Radon–Nikodym theorem. You can find it here.

Combinatorial game theory studies games where there is perfect information (therefore no randomness). Such games include nim and chess. A game called Konane is special because it was proven to be universal (Carvalho and Pereira dos Santos 2017). Learn about it more here.