We calculate the gravitational radiation produced by the merger and co
alescence of inspiraling binary neutron stars using three-dimensional
numerical simulations. The stars are modeled as polytropes and start o
ut in the point-mass limit at wide separation. The hydrodynamic integr
ation is performed using smooth particle hydrodynamics with Newtonian
gravity, and the gravitational radiation is calculated using the quadr
upole approximation. We have run several simulations, varying both the
neutron-star radius and the equation of state. The resulting gravitat
ional wave energy spectra dE/df are rich in information about the hydr
odynamics of merger and coalescence. In particular, our results demons
trate that detailed information on both GM/Rc(2) and the equation of:
state can in principle be extracted from the spectrum.