곡선,curve
폐곡선 closed curve's orientation:
Def.
Let
be defined at points of a smooth curve
defined by
The
contour integral of
along
is:
(Zill AEM Def 18.1.1)
Thm. Evaluation of a Contour Integral
If
is continuous on a smooth curve
given by
then:
(Zill AEM Thm 18.1.1)
성질 properties ¶
다음은 익숙
- ∫C kf(z)dz= k∫C f(z)dz
- ∫C (f(z) + g(z))dz = ∫C f(z)dz + ∫C g(z)dz
- ∫C f(z)dz = ∫C₁ f(z)dz + ∫C₂ f(z)dz
여기서 C는 매끄러운 곡선 C₁, C₂의 union
다음을 기억
여기서 -C는 반대 방향(orientation)을 의미(denote).