一、課程簡介:
1：積分求值法(Evaluation of Integrals)

基本方法、對稱原理之應用、圍線求值、表列特殊函數求值、馬鞍法、急降法、暫定相位法、漸近級數法(Elementary Methods, Use ofSymmetry Arguments,ContourIntegration, Tabulated Integrals,Saddle-PointMethod,Method ofSteepest-Descent, Method ofStationary Phase,Asymtotic Series)

2：積分轉換(Integral Transforms)

福萊轉換、Laplace轉換之應用(Fourier Trasforms,Laplace Tramsforms, Applications ofIntegral Transforms)

3.Greens functions
linear operator, green functions, using green functions to solve PDE.

4：特殊函數(Specisl Functions)

李建德函數、貝塞爾函數、匯合超越函數數(Legendre Functions,Bessel Functions,ConfluentHypergeometric Functions)



二、先修課程:

三、參考書目:
1：Methods of Theoretical Physics, Morse Feshbach
2：Complex Variable and Special Functions, Smirnov