Mahidol University International College
Ramsey theory plays a big role in combinatorics. Here, we will explore on arithmetic combinatorics, the area concerns with condition of a set that must contain an arithemtic progression. In particular we will mention (among other things) Van der Waerden’s theorem, Roth’s theorem and Szemer ́edi’s theorem. Some experimental math. will be performed at the end of the talk.