計算方法

第1章 結論                  
 1.1 計算方法的對明與特點                  
 1.2 誤差的來源及誤差的基本概念                  
 1.3 計算機中數(shù)的表示                  
 1.4 在近似計算中應遵循的一些原則                  
 1.5 小結                  
 1.6 習題                  
                   
 第2章 非線性方程求根                  
 2.1 二分法                  
 2.2 迭代法                  
 2.3 牛頓迭代法                  
 2.4 弦截法                  
 2.5 小結                  
 2.6 習題                  
                   
 第3章 函數(shù)插值                  
 3.1 線性插值與拋物插值                  
 3.2 拉格朗日（Lagrange）插值                  
 3.3 牛頓（Newton）插值方法                  
 3.4 差分及等距節(jié)點插值公式                  
 3.5 小結                  
 3.6 習題                  
                   
 第4章 數(shù)值積分                  
 4.1 插值型求積分式                  
 4.2 復化求積公式                  
 4.3 變步長梯形法則                  
 4.4 高斯積分法                  
 4.5 小結                  
 4.6 習題                  
                   
 第5章 一階常微分方程的數(shù)值解法                  
 5.1 歐拉（Euler）方法                  
 5.2 龍格-庫塔（Runge-Kutta）方法                  
 5.3 誤差控制方法                  
 5.4 小結                  
 5.5 習題                  
                   
 第6章 一元函數(shù)極值問題的一維搜索法                  
 6.1 確定搜索區(qū)間                  
 6.2 縮小搜索區(qū)間                  
 6.3 小結                  
 6.4 習題                  
                   
 第7章 數(shù)據(jù)擬合                  
 7.1 曲線擬合的最小二乘法                  
 7.2 多項式的數(shù)據(jù)擬合                  
 7.3 小結                  
 7.4 習題                  
                   
 第8章 線性方程組的數(shù)值解法                  
 8.1 消去法                  
 8.2 迭代法                  
 8.3 小結                  
 8.4 習題                  
                   
 第9章 計算實習                  
 9.1 非線性方程求根                  
 9.2 函數(shù)插值                  
 9.3 數(shù)值積分                  
 9.4 一階常微分方程的數(shù)值解法                  
 9.5 數(shù)據(jù)擬合                  
 9.6 線性方程組數(shù)值解法                  
 9.7 習題                  
 附錄