吴崇试老师的数学物理方法讲义4.pdf

Outline
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C. S. Wu 1où ECÈ©(˜)
Outline
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1 ECÈ©
ECÈ©½Â
ECÈ©Ä5Ÿ
2 Cauchy½n
üëÏ«Cauchy½n
ؽȩ†¼ê
EëÏ«Cauchy½n
3 ü‡k^Ún
Únµ·^uŒ»Ã¡l
Únµ·^uŒ»Ã¡Œl
C. S. Wu 1où ECÈ©(˜)
Complex Integration
Cauchy Integral Theorems
Two Useful Lemmas
References
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C. S. Wu 1où ECÈ©(˜)
Complex Integration
Complex Integration: Definition
Cauchy Integral Theorems
Complex Integration: Fundamental Properties
Two Useful Lemmas
ùLJ:
1 ECÈ©
ECÈ©½Â
ECÈ©Ä5Ÿ
2 Cauchy½n
üëÏ«Cauchy½n
ؽȩ†¼ê
EëÏ«Cauchy½n
3 ü‡k^Ún
Únµ·^uŒ»Ã¡l
Únµ·^uŒ»Ã¡Œl
C. S. Wu 1où ECÈ©(˜)
Complex Integration
Complex Integration: Definition
Cauchy Integral Theorems
Complex Integration: Fundamental Properties
Two Useful Lemmas
½ÂµECÈ©´E겡þ‚È©
C´E²¡þ­‚§¼êf(z)3Cþ
k½Â©ò­‚C?¿©n㧩:
z0 = A, z1, z2, · · · , zn = B§ ζk´
zk−1 →zkãþ?¿˜:§ŠÚê
n
P
f(ζk) (zk − zk−1)
k=1
n
P
≡ f(ζ