  I work out the general expressions for the first relativistic correction of
order $ \dfrac{1}{c^2} $ to thermodynamics. The starting point is the
relativistic Hamiltonian that I derived in a previous paper, which I expanded
to powers of $ \dfrac{1}{c^2} $ to derive a local (in time) Hamiltonian.
Limiting to the first relativistic correction, I worked out in general how the
relativistic corrections to thermodynamics arise. I then applied the formalism
to the problem of N particles with harmonic oscillator interaction in 3D to see
the explicit expressions for relativistic corrections.
