  A muon collider is expected to produce a high intensity neutrino beam which
is an admixture of either $\nu_{\mu}+\bar{\nu_e}$ or $\bar{\nu}_{\mu} +\nu_e$
which can can be directed to underground detectors far away from the source. It
will not only allow a probe of the $\nu_e-\nu_{\mu}$ as well as
$\nu_{\mu}-\nu_{\tau}$ oscillations in a range of mixing angle and $\Delta m^2$
not probed heretofore but it will also provide information about the mixing
angle $\theta_{e\tau}$ for a wide range of $\Delta m^2_{\nu_e\nu_{\tau}}$ from
$10^{-4}$ eV$^2$ to $10^{-1}$ eV$^2$ which cannot be obtained from any other
existing or proposed machine. One can also search for violations of Lorentz
invariance and deviations from equivalence principle for neutrinos at a level
which is three to four orders of magnitude more sensitive than possible at the
moment. This will test for instance some unorthodox suggestions to understand
both solar and atmospheric neutrinos using a single mass difference -squared
between the $\nu_e$ and $\nu_{\mu}$. It can also test various proposed models
neutrino masses and mixings to understand existing neutrino data.
