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1. { 0 , z = 0 { f(z)= { x(y^2)(x+iy) { ─────── , z =\= 0 { x^2+y^4 Show f does not have a derivative at z = 0 2.Cauchy-Riemann conditions in polar coordinates w = f(z) = u(x,y)+iv(x,y) Suppose that U and V are expressed in polar coordinates (r,θ) , and U_r,U_θ,V_r,V_θ are continuous (z =/= 0) Show U_r = (1/r)V_θ , V_r = (-1/r)U_θ 拜託了 謝謝 最近在上複變,但是覺得讀起來好卡 是不是要重讀高微和基微阿,感覺我的基礎很差 請問各位有沒有特別要重看的章節阿 謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.133.1.60
air11 :1.用微分的定義;2.C-R condition+二維的chain rule 10/25 18:27