论数学分析与概率论的相互关系

The study of the relationship between theory of mathematical analysis and probability

讨论了数学分析与概率论两者之间的相互关系。数学分析是一门理论体系较为完备的基础性学科,其思想与方法已经逐渐渗透到概率论当中,并有力地推动了概率论的发展;而概率论中的一些方法,将一些确定性的问题转化为随机性的问题,使得数学分析中某些比较困难的问题得以高效简捷地解决.

The paper elaborates on the mutual relations between theory of probability and mathematical analysis.Mathematical analysis is a foundational subject which has a quite complete theory system.Its idea and method permeate into theory of probability and strongly promote the development of theory of probability.And in mathematical analysis,some rather difficult problems can be solved conveniently by the method of theory of probability.