Complex Analysis, Line Integrals and Cauchy Conceptually

  • Thread starter jmm5872
  • Start date
  • #1
43
0
I am just trying to get the conceptual basics in my head. Can I think of things this way...

If you are taking the integral of a function f(z) along a curve γ in a region A. If the curve is closed and f(z) is analytic on the entire curve as well as everywhere inside the curve, then the integral is zero.

Is this basic statement always true?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,260
619
Yes, that's always true.
 

Related Threads on Complex Analysis, Line Integrals and Cauchy Conceptually

Replies
1
Views
4K
Replies
1
Views
1K
  • Last Post
Replies
6
Views
5K
  • Last Post
Replies
0
Views
1K
Replies
1
Views
929
Replies
3
Views
2K
Replies
2
Views
971
  • Last Post
Replies
1
Views
1K
Replies
3
Views
974
Top