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函数论(The Theory of Functions)

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Author(s): E.C.Titchmarsh
Publisher: 科学出版社
Year: 1962.12

Language: Chinese
City: 北京

第一章 无穷级数、无穷乘积与积分
1.1 一致收敛
1.2 复项极数、幂级数
1.3 不一致收敛的级数
1.4 无穷乘积
1.5 无穷积分的收敛
1.6 二重级数
1.7 级数的积分
1.8 迭积分、加马函数
第二章 解析函数
2.1 单元复变函数
2.2 复微分学
2.3 复积分、哥西定理
2.4 哥西积分、泰勒级数
2.5 哥西不等式、柳维勒定理
2.6 解析函数的零点
2.7 罗朗(Laurent)级数、奇点
2.8 解析函数的级数与积分
2.9 关于罗朗级数的注記
第三章 残数、围道积分、零点
3.1 残数、围道积分
3.2 半純函数、整函数
3.3 某些级数的求和
3.4 半純函数的极点与零点
3.5 函数|f(x)|,R[f(x)],I[f(x)]
3.6 布阿松(Poisson)的积分公式、詹生定理
3.7 卡列曼(Carleman)定理