The proof of the Gauss's law for gravity provided by Wikipedia takes use of the divergence theorem.
- Is it possible to arrive at the integral form of the Gauss's law in a way which doesn't require the use of divergence?
I'd like to derive it from the Newton's law. The main idea is: Assume that two points masses $m_1,m_2$ act on each other with force $F=\frac{Gm_1m_2}{r^2}$. Do something. Arrive at the integral form of the Gauss's law.
So it doesn't have much in common with the "duplicates"
I had one semester of analysis, so don't know anything about the Delta Dirac function and family