π与e是我们熟悉而且也非常重要的两个常数.了解这两个数的无理性与超越性,不但可以使我们对π与e的认识有所增强,同时还可以对与之相关的数学发展历史有一个大致的了解.1超越数的概念“超越数”与“代数数”是不可分割的一对概念,因此,在介绍超越数之前,我们需要先介绍一下代数数的概念.关于代数数,可以这样来定义:如果一个实数满足下面这个整系数多项式方程 π and e are two familiar and important constants. Understanding the irrationality and transcendence of these two numbers not only enhances our understanding of π and e, but also correlates with mathematics The history of development has a general understanding.1 The concept of transcendental numbers “transcendental number ” and “algebraic number ” are an indivisible pair of concepts, therefore, before introducing the transcendental number, we need to first introduce the number of algebraic The concept of algebraic numbers can be defined as follows: If a real number satisfies the following integral coefficient polynomial equation