## What is Gauss's theorem in physics?

## How do you calculate Gauss's divergence theorem?

- Gauss's Divergence Theorem tells us that the flux of F across ∂S can be found by integrating the divergence of F over the region enclosed by ∂S. EX 1 3F(x,y,z) = xi+y3j+z3k S is the hemisphere Calculate ∫∫ F·n dS.

## What are the contributions of Gauss in mathematics?

- He went on to publish seminal works in many fields of mathematics including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy, optics, etc. Number theory was Gauss’s favorite and he referred to number theory as the “queen of mathematics.”

## How do you find the integral of a function using Gauss theorem?

- Instead, using Gauss Theorem, it is easier to compute the integral (∇·F) of B. First, we compute (∇·F) = 2xz3 + 2xz3 + 4xz3 = 8xz3. Now we integrate this function over the region B bounded by S: which is easy to verify.

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