| 1. | The following topics are covered in the course : complex algebra and functions ; analyticity ; contour integration , cauchy ' s theorem ; singularities , taylor and laurent series ; residues , evaluation of integrals ; multivalued functions , potential theory in two dimensions ; fourier analysis and laplace transforms 本课程包含下列各项主题:复数代数与函数;可解析性;轮廓积分;柯西定理;奇异性,泰勒与罗伦兹级数,留数,积分的运算;多值函数,二维的势能理论;傅立叶分析与拉普拉斯转换。 |