We present an isotropic spin-wave theory of short-range order in Heise
nberg magnets, and apply it to square lattice S = 1/2 and S = 1 antife
rromagnets. Our theory has three identical (isotropic) spin-wave modes
, whereas the conventional spin-wave theory has two transverse modes a
nd one longitudinal mode. We calculate the temperature dependences of
various thermodynamic observables analytically and find good (several
percent) agreement with independently obtained numerical results in a
broad temperature range.