We discuss recent advances in the calculation of thermodynamic observa
bles using improved actions. In particular, we discuss the calculation
of the equation of state of the SU(3) gauge theory, the critical temp
erature in units of the string tension, the surface tension and the la
tent heat at the deconfinement transition. We also present first resul
ts from a calculation of the equation of state for four-flavour QCD us
ing an (3(a(2)) improved staggered fermion action and discuss possible
further improvements of the staggered fermion action.