  We extend the Koszul calculus defined on quadratic algebras by Berger, Lambre
and Solotar, to N-homogeneous algebras. When N>2, the Koszul cup and cap
products are defined by specific expressions, and they are compatible with the
Koszul differentials, providing associative products on (co)homology classes.
The N-Koszul calculus is calculated for the truncated polynomial algebras.
