Review of neutrino masses and oscillations

Neutrinos are potentially the most exciting of particles as if they have mass, large new areas of physics would be opened up. However many pioneering experiments have turned out to be mistaken so a study of neutrinos is an education in Science. In astrophysics recent reductions in the favoured value of Omega have meant that the maximum mass of a neutrino could be only a few electron-volts. A review is given of the search for neutrino masses using direct methods, double-beta decay, and oscillations. Current claims of neutrino mass detection - tritium end-point, Karmen, Los Alamos LSND, atmospheric neutrinos, Boron-8 solar neutrinos, and gallium-detected solar neutrinos are critically evaluated - the best evidence is the latter. There are many lessons to be drawn for physics, astrophysics and for questions of Scientific method and responsibility - the history may last longer than the subject.