We calculate the spectrum of glueball masses in non-supersymmetric Yang-Mil
ls theory in three and four dimensions, based on a conjectured duality betw
een supergravity and large N gauge theories. The glueball masses are obtain
ed by solving supergravity wave equations in a black hole geometry. We find
that the mass ratios are in good numerical agreement with the available la
ttice data. We also compute the leading (g(YM)(2)N)(-1) corrections to the
glueball masses, by taking into account stringy corrections to the supergra
vity action and to the black hole metric. We find that the corrections to t
he masses are negative and of order (g(YM)(2)N)(-3/2). Thus for a fixed ult
raviolet cutoff the masses decrease as we decrease the 't Hooft coupling, i
n accordance with our expectation about the continuum limit of the gauge th
eories.