Contour integral (angolul)
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Definíció (felsőfok)
If we have a function f defined in the complex plane, and a curve C in the complex plane, then the integral of f along C is called a contour integral and is written ∫C f(z)dz .
Such an integral can be defined as follows: dissect C into n segments with endpoints x0...xn. Pick a point zi in each segment. The integral is the limit, if it exists, of the sum ∑f(z i ) ( xi − xi−1 ) , as n approaches infinity and the length of the longest segment goes to zero.
Such an integral can be defined as follows: dissect C into n segments with endpoints x0...xn. Pick a point zi in each segment. The integral is the limit, if it exists, of the sum ∑f(z i ) ( xi − xi−1 ) , as n approaches infinity and the length of the longest segment goes to zero.
Kapcsolatok
- Bővítés:
- (en) Integral
- Hivatkozás:
- (en) Argand diagram
- (en) Contour
- (en) Curvilinear integral
Támogatók: EU Socrates Minerva, HeyMath!, Cambridge University Press