  We consider the main physical notions and phenomena described by the author
in his mathematical theory of thermodynamics. The new mathematical model yields
the equation of state for a wide class of classical gases consisting of
non-polar molecules provided that the spinodal, the critical isochore and the
second virial coefficient are given. As an example, the spinodal, the critical
isochore and the second virial coefficient are taken from the Van-der-Waals
model. For this specific example, the isotherms constructed on the basis of the
author's model are compared to the Van-der-Waals isotherms, obtained from
completely different considerations.
