Finte function , the typical representative of many - valued function , is clearly and vividly exposed its complicated alternative character by riemann surface and is thoroughly discussed the key points and the process of monodromic branch ceded from many - valued function 摘要通過討論多值函數(shù)的典型代表根式函數(shù),運(yùn)用黎曼面,清晰、形象地揭示多值函數(shù)復(fù)雜的變換特性,并論述分出多值函數(shù)的各單值分支的關(guān)鍵問題及其方法。
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(jí)數(shù),留數(shù),積分的運(yùn)算;多值函數(shù),二維的勢(shì)能理論;傅立葉分析與拉普拉斯轉(zhuǎn)換。