The two-dimensional attractive Hubbard model is studied in the weak-to-inte
rmediate-coupling regime by employing a nonperturbative approach. It is sho
wn that this approach is in quantitative agreement with Monte Carlo calcula
tions for both single-particle and two-particle quantities. Both the densit
y of states and the single-particle spectral weight show a pseudogap at the
Fermi energy below some characteristic temperature T*, also in good agreem
ent with quantum Monte Carlo calculations. The pseudogap is caused by criti
cal pairing fluctuations in the low-temperature renormalized classical regi
me ((h) over bar omega <k(B)T) of the two-dimensional system. With increasi
ng temperature the spectral weight fills in the pseudogap instead of closin
g it, and the pseudogap appears earlier in the density of states than in th
e spectral function. Small temperature changes around T* can modify the spe
ctral weight over frequency scales much larger than temperature. Several qu
alitative results for the s-wave case should remain true for d-wave superco
nductors.