Schur's theorem, Ramsey Theorem and additive combinatorics

Schur's theorem, Ramsey Theorem and additive combinatorics

首先先證明Ramsey Theorem 圖論定理 證明Schur's theorem

再用數學歸納法證明Ramsey Theorem 

最後summarize 一些  additive combinatorics

最有名的是 Szemerédi's theorem

Notes:

Szemerédi's theorem 證明可能太繁瑣 一輩子可能部會董 呵呵 

https://ocw.mit.edu/courses/mathematics/18-217-graph-theory-and-additive-combinatorics-fall-2019/lecture-notes/