  We study the thermostatistics of q-deformed bosons and fermions obeying the
symmetric algebra and show that it can be built on the formalism of q-calculus.
The entire structure of thermodynamics is preserved if ordinary derivatives are
replaced by an appropriate Jackson derivative. In this framework, we derive the
most important thermodynamic functions describing the q-boson and q-fermion
ideal gases in the thermodynamic limit. We also investigate the semi-classical
limit and the low temperature regime and demonstrate that the nature of the
q-deformation gives rise to pure quantum statistical effects stronger than
undeformed boson and fermion particles.
