Complex Integration: Fundamental Properties 例4.1 求/ Read,C为 (i)沿实轴由0→1,再平行于虚轴1→1+
Complex Integration Cauchy Integral Theorems Two Useful Lemmas Complex Integration: Definition Complex Integration: Fundamental Properties ~4.1 ¦ Z C Rezdz§C (i)÷¢¶d0 → 1§2²1uJ¶1 → 1 + i C. S. Wu 1où ECÈ©()
Complex Integration: Fundamental Properties 例4.1 求/ Read,C为 (i)沿实轴由0→1,再平行于虚轴1→1+ (i)沿虛轴由0→i,再平行于实轴i→1+i
Complex Integration Cauchy Integral Theorems Two Useful Lemmas Complex Integration: Definition Complex Integration: Fundamental Properties ~4.1 ¦ Z C Rezdz§C (i)÷¢¶d0 → 1§2²1uJ¶1 → 1 + i (ii)÷J¶d0 → i§2²1u¢¶i → 1 + i C. S. Wu 1où ECÈ©()
Complex Integration: Fundamental Properties 例4.1 求/ Read,C为 (i)沿实轴由0→1,再平行于虚轴1→1+ (i)沿虚轴由0→i,再平行于实轴i→1+i (i沿直线0→1+i 0
Complex Integration Cauchy Integral Theorems Two Useful Lemmas Complex Integration: Definition Complex Integration: Fundamental Properties ~4.1 ¦ Z C Rezdz§C (i)÷¢¶d0 → 1§2²1uJ¶1 → 1 + i (ii)÷J¶d0 → i§2²1u¢¶i → 1 + i (iii)÷0 → 1 + i C. S. Wu 1où ECÈ©()
Complex Integration: Fundamental Properties 例4.1 求/ Reed,C为 (i)沿实轴由0→1,再平行于虚轴1→1+i; (i)沿虚轴由0→i,再平行于实轴i→1+i; (i)沿直线0→1+ 对于(i Rezdz=/adx+/ idy
Complex Integration Cauchy Integral Theorems Two Useful Lemmas Complex Integration: Definition Complex Integration: Fundamental Properties ~4.1 ¦ Z C Rezdz§C (i)÷¢¶d0 → 1§2²1uJ¶1 → 1 + i¶ (ii)÷J¶d0 → i§2²1u¢¶i → 1 + i¶ (iii)÷0 → 1 + i éu(i) Z C Rezdz = Z 1 0 xdx + Z 1 0 idy = 1 2 + i C. S. Wu 1où ECÈ©()
Complex Integration: Fundamental Properties 例4.1 求/ Reed,C为 (i)沿实轴由0→1,再平行于虚轴1→1+i; (i)沿虚轴由0→i,再平行于实轴i→1+i; (i)沿直线0→1+ 对于(i Rezdz=/adx+/ idy
Complex Integration Cauchy Integral Theorems Two Useful Lemmas Complex Integration: Definition Complex Integration: Fundamental Properties ~4.1 ¦ Z C Rezdz§C (i)÷¢¶d0 → 1§2²1uJ¶1 → 1 + i¶ (ii)÷J¶d0 → i§2²1u¢¶i → 1 + i¶ (iii)÷0 → 1 + i éu(i) Z C Rezdz = Z 1 0 xdx + Z 1 0 idy = 1 2 + i C. S. Wu 1où ECÈ©()