We report the detection of weak gravitational lensing of faint, distan
t background galaxies by the rich, X-ray luminous cluster of galaxies
MS 1054-03 at z = 0.83. This is the fist measurement of weak lensing b
y a bona fide cluster at such a high redshift. We detect tangential sh
ear at the 5%-10% level over a range of radii 50 '' less than or simil
ar to r less than or similar to 250 '' centered on the optical positio
n of the cluster. Two-dimensional mass reconstruction using galaxies w
ith 21.5 < I < 25.5 shows a strong peak which coincides with the peak
of the smoothed cluster light distribution. Splitting this sample by m
agnitude (at I = 23.5) and color (at R-I = 0.7), we find that the brig
hter and redder subsamples are only very weakly distorted, indicating
that the faint blue galaxies (FBGs), which dominate the shear signal,
are relatively more distant. The derived cluster mass is quite sensiti
ve to the N(z) for the FBGs. At one extreme, if all the FBGs are at z(
s) = 3, then the mass within a 0.5 h(-1) Mpc aperture is (5.9 +/- 1.24
) x 10(14) h(-1) M., and the mass-to-light ratio is M/L(V) = 350 +/- 7
0 h in solar units. For z(s) = 1.5 the derived mass is similar to 70%
higher and M/L similar or equal to 580 h. If N(z) follows the no evolu
tion model (in shape) then M/L similar or equal to 800 h, and if all t
he FBGs lie at z(s) less than or similar to 1 the required M/L exceeds
1600 h. These data provide clear evidence that large, dense mass conc
entrations existed at early epochs; that they can be weighed efficient
ly by weak lensing observations; and that, for a plausible cluster mas
s, most of the FBGs must lie at high redshift (z > 1).