  In this work, we study the impact of different \textit{non-Cartesian}
geometries (spherical, cylindrical, ellipsoidal and toroidal ones) on the
thermodynamic functions of quantum gases. We start with the simplest situation,
namely, spinless gas treated within the canonical ensemble framework. As a next
step, we consider \textit{non-interacting} gases (fermions and bosons) with the
usage of the grand canonical ensemble description. For this case, the
calculations are performed numerically and we illustrate our results addressing
two possible applications: \textit{Bose-Einstein condensate} and \textit{helium
dimer}. Moreover, the bosonic sector, independently of the geometry, acquires
entropy and internal energy greater than fermionic case. Another notable aspect
is present as well: the thermal properties turn out to be sensitive to the
topological parameter (winding number) for the toroidal case. Finally, we also
devise a model allowing to perform analytically the calculations in the case of
\textit{interacting} quantum gases, and, afterwards, we apply it to three
different cases: cubical box, ring and torus.
