%0 Journal Article %T On the history of van der Waerden's theorem on arithmetic progressions %A Tom C. Brown %A Jau-Shyong Peter Shiue %J Tamkang Journal of Mathematics %D 2001 %I Tamkang University %R 10.5556/j.tkjm.32.2001.335-341 %X In this expository note, we discuss the celebrated theorem known as ``van der Waerden's theorem on arithmetic progressions", the history of work on upper and lower bounds for the function associated with this theorem, a number of generalizations, and some open problems. %U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/348