Gauss’s Divergence Theorem vs. Green’s Theorem
Gauss Divergence Theorem and Green’s Theorem both the theorems have their specific advantages.
Gauss’s Divergence Theorem Vs Green’s Theorem | |
---|---|
Gauss Divergence Theorem | Green’s Theorem |
Gauss Divergence Theorem deals with 3-D solid bounded by closed curve | Green’s Theorem deals with the 2-D figures bounded by simple closed curve |
Gauss divergence theorem uses the volume integralin its results. | Green’s theorem uses the surface integral in its results. |
Divergence Theorem
Divergence Theorem is one of the important theorems in Calculus. The divergence theorem relates the surface integral of the vector function to its divergence volume integral over a closed surface.
In this article, we will dive into the depth of the Divergence theorem including the divergence theorem statement, divergence theorem formula, Gauss Divergence theorem statement, Gauss Divergence theorem formula, and Gauss Divergence Theorem proof.
We will also go through some points on Gauss’s Divergence theorem vs Green’s theorem, solve some examples, and answer some FAQs related to the divergence theorem.
Table of Content
- What is Divergence Theorem?
- Divergence Theorem Formula
- Gauss Divergence Theorem
- Proof of Gauss Divergence Theorem
- Gauss’s Divergence Theorem vs. Green’s Theorem
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