Atmospheric neutrino fluxes have been computed directly from recent measurements of muon momentum spectra in the stratosphere. The results agree to within about 15% with the previous calculations by Barr, Gaisser and Stanev by another method, although they predict a somewhat different variation of flux with geomagnetic latitude. These results do not support the suggestion that the atmospheric neutrino anomaly can be interpreted as due to excess electron events from proton decay p -> e(+)nu nu