數(shù)值分析：基于Julia

出版者的話
譯者序
前言
第 1 章 導(dǎo)論 ························ 1
1.1 微積分復(fù)習(xí) ··············· 1
1.2 Julia 基礎(chǔ)·················· 4
1.3 計(jì)算機(jī)運(yùn)算 ··············· 21
第 2 章 方程求根 ·················· 43
2.1 迭代法的誤差分析 ······ 46
2.2 二分法 ····················· 47
2.3 牛頓法 ····················· 51
2.4 弦截法 ····················· 60
2.5 穆勒法 ····················· 64
2.6 不動(dòng)點(diǎn)迭代法 ············ 67
2.7 高次不動(dòng)點(diǎn)迭代法 ······ 75
第 3 章 插值 ························ 78
3.1 多項(xiàng)式插值 ··············· 79
3.2 高次多項(xiàng)式插值 ········· 97
3.3 埃爾米特插值 ············101
3.4 分段多項(xiàng)式：樣條插值 ························ 108
第 4 章 數(shù)值積分和數(shù)值微分 ···125
4.1 牛頓－柯特斯公式 ······125
4.2 復(fù)合牛頓－柯特斯公式 ························ 132
4.3 高斯求積公式 ············137
4.4 多重積分 ··················143
4.5 廣義積分 ··················151
4.6 數(shù)值微分 ··················152
第 5 章 逼近理論 ··················161
5.1 離散小二乘 ············161
5.2 連續(xù)小二乘 ············180
5.3 正交多項(xiàng)式與小二乘 ························ 183
參考文獻(xiàn) ····························· 199
索引 ··································· 201