We study the possibilities offered by muon storage rings for nu (tau) appea
rance experiments in order to determine masses and mixing angles for the nu
(mu) --> nu (tau) and <(<nu>)over bar>(e) --> <(<nu>)over bar>(tau) oscill
ations. The dependence of tau event rates on baseline, forward peaking of d
ecay neutrinos with increasing energies, and average fluxes intercepted by
detectors of various sizes is discussed. It is found that the baseline leng
th does not significantly affect the rates for oscillations of such magnitu
des as are suggested by the current atmospheric neutrino data. Subsequently
, the effects of cuts on hadronic and wrong sign leptonic modes are compute
d and used to plot 90% CL contours for the parameter regions that can be ex
plored in such experiments. The results show that even for modest muon beam
energies, convincing coverage and verification of the Super Kamiokande par
ameters is possible. In addition, a very significant enlargement of present
day bounds on the mixing parameters for neutrino oscillations of all types
is guaranteed by these types of searches.