Measurements are reported of the proton and deuteron spin structure functio
ns g(1)(p) and g(1)(d) at beam energies of 29.1, 16.2., and 9.7 GeV, and g(
2)(p) and g(2)(d) at a beam energy of 29.1 GeV. The integrals Gamma(p) = in
tegral(0)(1)g(1)(p)(x, Q(2))dx and Gamma(d) = integral(0)(1)g(1)(d)(x, Q(2)
)dx were evaluated at fixed Q(2) = 3 (GeV/c)(2) using the full data set to
yield Gamma(p) = 0.132+/-0.003(stat)+/-0.009(syst) and Gamma(d)=0.047+/-0.0
03+/-0.006. The Q(2) dependence of the ratio g(1)/F-1 was studied and found
to be small for Q(2) > 1 (GeV/c)(2). Within experimental precision the g(2
) data are well described by the twist-2 contribution, g(2)(WW). Twist-3 ma
trix elements were extracted and compared to theoretical predictions. The a
symmetry A(2) was measured and found to be significantly smaller than the p
ositivity limit root R for both proton and deuteron targets. A(2)(p) is fou
nd to be positive and inconsistent with zero. Measurements of g(1) in the r
esonance region show strong variations with x and Q2, consistent with reson
ant amplitudes extracted from unpolarized data. These data allow us to stud
y the Q(2) dependence of the integrals Gamma(p) and Gamma(n) below the scal
ing region. [S0556-2821(98)06919-7].