数学分析与概率论的相互关系

The Relationship Between Mathematical Analysis and Probability Theory

数学分析与概率论是互相渗透与相互依存的关系,两者共同发展,互相影响。数学分析作为一门基础性的学科,经过多年的发展与研究已经形成了一套较为完备的理论体系,并且对概率论的发展起到了良好的促进作用。反之,概率论的计算方法以及解题思路也可以把一些复杂的数学分析问题进行简化,实现确定性问题与随机性问题之间的有效转化,使得数学分析问题得以高效解决。

Mathematical analysis and probability theory are interpenetrating and interdependent.The two develop together and influence each other.As a basic discipline,mathematical analysis has formed a relatively complete theoretical system after years of development and research,and has played a good role in promoting the development of probability theory.Conversely,the calculation method of probability theory and problem solving ideas can also simplify some complex mathematical analysis problems,realize the effective conversion between deterministic problems and random problems,and make the mathematical analysis problems efficiently solved.