  This Perspective article provides an overview of some of our analytical
approaches to the computation of the structural and thermodynamic properties of
single-component and multicomponent hard-sphere fluids. For the structural
properties, they yield a thermodynamically consistent formulation, thus
improving and extending the known analytical results of the Percus--Yevick
theory. Approximate expressions linking the equation of state of the
single-component fluid to the one of the multicomponent mixture are also
discussed.
