  We compute the rheological properties of inelastic hard spheres in steady
shear flow for general shear rates and densities. Starting from the microscopic
dynamics we generalise the Integration Through Transients (\textsc{itt})
formalism to a fluid of dissipative, randomly driven granular particles. The
stress relaxation function is computed approximately within a mode-coupling
theory---based on the physical picture, that relaxation of shear is dominated
by slow structural relaxation, as the glass transition is approached. The
transient build-up of stress in steady shear is thus traced back to transient
density correlations which are computed self-consistently within mode-coupling
theory. The glass transition is signalled by the appearance of a yield stress
and a divergence of the Newtonian viscosity, characterizing linear response.
For shear rates comparable to the structural relaxation time, the stress
becomes independent of shear rate and we observe shear thinning, while for the
largest shear rates Bagnold scaling, i.e., a quadratic increase of shear stress
with shear rate, is recovered. The rheological properties are qualitatively
similar for all values of $\varepsilon$, the coefficient of restitution;
however, the magnitude of the stress as well as the range of shear thinning and
thickening show significant dependence on the inelasticity.
