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Anirbit
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Looking for a reference for the laplacian operator

Can anyone give me a reference which explain the derivation of the partial differential operator expression for the laplacian on the euclidean n-dimensional space and on $S^n$ ?

One generally writes the laplacian on the n-dim euclidean space as a sum of a operator on the radial coordinate and $\frac{1}{r^2}$ times the laplacian on $S^n$.

And very often the laplacian on $S^n$ is written through a recursion relation.

I am looking for a reference which shows me the derivations of these.

Anirbit
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