## Understanding The Development of Mathematics From The History of The Basel Problem

**by Kaito Nakamichi**Category: STEM

**Abstract**– This paper presents the possibility of a mathematical formula that expresses the velocity of an object rolling along a complex surface. This function was derived by considering the forces applied to an object. In addition, the change in angle between the slope at a given point on the complex surface and the line parallel to the ground in a 2-dimensional direction will be considered. This mathematical expression may allow increasingly accurate calculations of the theoretical velocity of an object at a given point on a complex surface. Furthermore, it allows a different perspective on how the velocity of an object in this situation can be calculated. However, the expression is not completely accurate and can only be applied under certain assumptions and conditions.