  The method of QCD sum rules at finite temperature is reviewed, with emphasis
on recent results. These include predictions for the survival of charmonium and
bottonium states, at and beyond the critical temperature for de-confinement, as
later confirmed by lattice QCD simulations. Also included are determinations in
the light-quark vector and axial-vector channels, allowing to analyse the
Weinberg sum rules, and predict the dimuon spectrum in heavy ion collisions in
the region of the rho-meson. Also in this sector, the determination of the
temperature behaviour of the up-down quark mass, together with the pion decay
constant, will be described. Finally, an extension of the QCD sum rule method
to incorporate finite baryon chemical potential is reviewed.
