1. Complex Integrals and Cauchy's Integral Theorem.
2023年9月21日 1.7万观看
可汗学院公开课 复变函数
大学课程 / 数学
本课程讲述了有关复变函数的基本概念，掌握复变函数基本理论中所包括的积分、级数和共形映射的内容和方法，培养和提高学生对应用复变函数理论的描述和解决工程技术问题的能力。
共25集 4.6万人观看
1Complex Integrals and Cauchy's Integral Theorem.07:56
2The ML Inequality Proof and Example - 105:27- 3The ML Inequality Proof and Example - 305:25
4Cauchy's Integral Formula and Proof08:49
5Laurent Series07:19
6Residue Theorem and Proof07:02
7How to find the Residues of a Complex Function - 107:08- 8How to find the Residues of a Complex Function - 307:05
9Computing Definite Integrals using the Residue Theorem - 106:08- 10Computing Definite Integrals using the Residue Theorem - 306:05
11Computing Improper Integrals using the Residue Theorem，Cauchy Principal - 106:43- 12Computing Improper Integrals using the Residue Theorem，Cauchy Principal - 306:55
13Jordan's Lemma Proof，Complex Variables - 106:25- 14Jordan's Lemma Proof，Complex Variables - 306:29
15How to Integrate Fourier Integrals - 107:24- 16How to Integrate Fourier Integrals - 307:22
17Winding Numbers and Meromorphic Functions Explained! _ Complex Variables - 105:59- 18Winding Numbers and Meromorphic Functions Explained! _ Complex Variables - 306:05
19The Argument Principle _ Complex Variables - 105:56- 20The Argument Principle _ Complex Variables - 305:59
21Rouche's Theorem and the Fundamental Theorem of Algebra - 105:45- 22Rouche's Theorem and the Fundamental Theorem of Algebra - 305:46
23Introducing Branch Points and Branch Cuts _Complex Variables09:29
24Complex Integration Using Branch Cuts - 106:29- 25Complex Integration Using Branch Cuts - 306:26