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## 复变函数 | ||
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### 数院普通班 | ||
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yf: 抄书 | ||
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齐治: 抄书, 没有quiz和点名 | ||
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19春夏的期末考考前给了55分的list | ||
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#### 复习list | ||
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平时40% 期末考试60% | ||
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期末试卷(100分): | ||
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以下定理陈述 (25分) | ||
1. Cauchy定理(Chapter 2, Theorem 2.2, Chapter 3, Corollary 5.3);2. Cauchy积分公式(Chapter 2, Theorem 4.1); 3. Liouville定理(Chapter 2, Corollary 4.5);4. 解析延拓原则(Chapter 2, Theorem 4.8); | ||
5. 留数公式(Chapter 3, Theorem 2.1);6. 幅角原理(Chapter 3, Theorem 4.1);7. Rouche定理(Chapter 3, Theorem 4.3);8. 极大模原理(Chapter 3, Theorem 4.5); | ||
9. Fourier变换公式和Poisson求和公式(Chapter 4, Page 111,Theorem 2.4)10. Jensen公式(Chapter 5, Theorem 1.1);11. Hadamard分解定理(Chapter 5, Theorem 5.1 (要求典型因子的定义));12. Gamma函数的乘积公式和Riemann zeta函数的函数方程(Chapter 6, Theorem 1.7, 2.3); | ||
13. Weisterass P函数的定义公式及其导数的公式(Chapter 9, Section 1.2);14. Eisenstein级数的定义及其Fourier展开(Chapter 9, Sections 2.1, 2.2);15. Theta(z|tau)的乘积公式(Chapter 10, Section 1(要求定义));16. theta(tau)的变换法则(Chapter 10, Corollary 1.7 (要求定义)); | ||
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以下做过的习题(30分): | ||
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第一章 7,9第二章 3,8 第三章2,15a)c)第五章 4,10 第六章 10,15 第九章 2,7 第十章 5,7。 | ||
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新题(40分):只考第一章第二章第三章第五章的定理应用和技巧(其中包括10-20分书上未做的题目) | ||
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难题(5分):没有范围 |
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