求翻译：本文主要从数值逼近和函数逼近两个方面简要论述了逼近思想在分析学中的用途。首先，从数值逼近着手研究了连续全局优化的水平值逼近理论与算法，给出了两种关于连续全局优化间题的水平值逼近算法，并对算法的收敛性、计算复杂性及其数值实验性能等方面做了一系列的理论分析和数值试验。其次，从函数逼近着手论述了阶梯函数逼近的思想方法，并将其应用到下述几个方面：(1)用阶梯函数逼近连续函数；(2)Weierstrass定理的初等证明；(3)用有理函数逼近有界变差函数；(4)Markov系统中的多项式逼近问题是什么意思？

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