论微积分的哲学思想

On the Philosophy of Calculus

微积分是分析解决问题的一种方法。微积分体现了数学从静止走向运动和变化的哲学思想。"微分"、"积分"相对独立,又相互作用,共同营造了这个丰富多彩、运动统一的世界。微积分哲学观既是世界观也是方法论,它使得局部与整体,微观与宏观,过程与状态,瞬间与阶段的联系更加明确,使我们既可以居高临下,从整体角度分析问题,又可以析理入微,从微分角度考虑问题。

Calculus is one way to solve and analyze the problem. Calculus shows the philosophy ofmathematics from standstill to movement and change. ＂Differentiai＂ and ＂Integral＂ are relatively independent, interact each other, and create the colorful, moved and unified world. Calculus philosophy is both a worldview and methodology, and it makes the relationship between the part and the whole, micro and macro, process and status, instant and stage more clear, so that we can both look down, analyze the problem from the overall perspective, and also consider the problem from differential angle.