出版者的话
译者序
前言
第 1 章 导论 ························ 1
1.1 微积分复习 ··············· 1
1.2 Julia 基础·················· 4
1.3 计算机运算 ··············· 21
第 2 章 方程求根 ·················· 43
2.1 迭代法的误差分析 ······ 46
2.2 二分法 ····················· 47
2.3 牛顿法 ····················· 51
2.4 弦截法 ····················· 60
2.5 穆勒法 ····················· 64
2.6 不动点迭代法 ············ 67
2.7 高次不动点迭代法 ······ 75
第 3 章 插值 ························ 78
3.1 多项式插值 ··············· 79
3.2 高次多项式插值 ········· 97
3.3 埃尔米特插值 ············101
3.4 分段多项式:样条插值 ························ 108
第 4 章 数值积分和数值微分 ···125
4.1 牛顿-柯特斯公式 ······125
4.2 复合牛顿-柯特斯公式 ························ 132
4.3 高斯求积公式 ············137
4.4 多重积分 ··················143
4.5 广义积分 ··················151
4.6 数值微分 ··················152
第 5 章 逼近理论 ··················161
5.1 离散小二乘 ············161
5.2 连续小二乘 ············180
5.3 正交多项式与小二乘 ························ 183
参考文献 ····························· 199
索引 ··································· 201