Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Just as complex form of green's theorem $\int {f(z)}dz=i\int\int \frac{\partial f}{\partial x} + i\frac{\partial f}{\partial y}dxdy$ where $z=x+iy$ , do we have complex form of gauss divergence theorem ?

share|cite|improve this question

In two dimensions Green's theorem and the divergence theorem are basically the same: You get the divergence theorem by applying Green's theorem to a vector field rotated $90^\circ$ at each point. In the same vain you don't get a new theorem when you look at the divergence theorem in a complex disguise.

share|cite|improve this answer
Actually what I want is to express divergence theorem in terms of tricomplex. – hong wai Dec 23 '12 at 12:47
@hong wai: What is "tricomplex"? – Christian Blatter Dec 23 '12 at 14:24
tricomplex refers to 3-dimension complex numbers – hong wai Dec 23 '12 at 16:34
@hong wai: I suggest you forget about such numbers for the time being. – Christian Blatter Dec 23 '12 at 17:21
huh ? why I need to forget such number s? – hong wai Dec 23 '12 at 17:57

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.