Originally Posted by

**zhandele** I recently learned about the Stirling Numbers, and I'm trying to get my head around them. I understand that the 2nd Kind numbers are the coefficients that will convert a polynomial in the standard (monomial power) basis to the falling power basis. I found a piece on Planetmath that presents a proof of this, but I can't follow it.

There must be somebody out there who knows more about the Stirling Numbers than I do. I hope you can explain this proof to me, or tell me where the author went wrong, if that's the case.