Proposition 12.4.18 (Volume of Sphere).label Let $\mathbb{S}^{n-1}$ be the unit sphere in $\R^{n}$ then its area is
\begin{align*}\om_{n}=\frac{2\pi^{n/2}}{\Gam\parens{\frac{n}{2}}}\end{align*}
where $\Gam(s)=\integral{0}{\infty}e^{-t}t^{s-1}dt$
Proposition 12.4.18 (Volume of Sphere).label Let $\mathbb{S}^{n-1}$ be the unit sphere in $\R^{n}$ then its area is
where $\Gam(s)=\integral{0}{\infty}e^{-t}t^{s-1}dt$
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