  Mathematically rigorous derivation of the hadron matter equation of state
within the induced surface and curvature tensions approach is worked out. Such
an equation of state allows one to go beyond the Van der Waals approximation
for the interaction potential of hard spheres. The compressibility of a single-
and two-component hadron mixtures are found for two- and three-dimensional
cases. The obtained results are compared to the well known one- and
two-component equations of state of hard spheres and hard discs. The values of
the model parameters which successfully reproduce the above-mentioned equations
of state on different intervals of packing fractions are determined from
fitting their compressibility factors. It is argued that after some
modification the developed approach can be also used to describe the mixtures
of gases of convex hard particles of different sizes and shapes.
