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 本課程包含下列各項(xiàng)主題:復(fù)數(shù)代數(shù)與函數(shù);可解析性;輪廓積分;柯西定理;奇異性,泰勒與羅倫茲級數(shù),留數(shù),積分的運(yùn)算;多值函數(shù),二維的勢能理論;傅立葉分析與拉普拉斯轉(zhuǎn)換。