Which materials are better discussing about these topics?

何金水

Which materials(books, lecture notes or internet materials) are better discussing about these topics?

1) Newton difference, Gauss central, Stirling difference, Bessel difference

2) The Laplace Transform of periodic f(t)

3) Any books/ materials discussing the background of these formulae(especially the mechanics, statistics, numerical method parts): http://www.mathsnetalevel.com/index.php?ref=OMEI_formulae.
They look terrific.

Many Many Thanks