Gauss Divergence Theorem
Gauss Divergence theorem gives us the relation between the surface integral of the vector to the volume of the vector in a closed surface. Below we will learn about the Gauss Divergence Theorem in detail.
Statement of Gauss Divergence Theorem
The Gauss Divergence Theorem states that:
“Surface integral of the vector field P over the closed surface is equal to the volume integral of the divergence of the vector over the closed surface”.
It can be mathematically represented as:
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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