Hi there,

I am looking for any reference (article, textbook, etc.) that explains
the transition from classical continuum mechanics to classical point
mechanics (i.e. Newton, Lagrange or Hamilton) in *this* direction. This
would likely mean starting from the differential conservation laws of
continuum mechanics for mass, momentum and energy and somehow modeling
the respective densities and currents by a sum of Dirac delta functions
for each particle. I have some ideas how to do this on my own but would
like to have an "authoritative" reference to back it up.

Thanks a lot in advance,
Markus