This book investigates the propagation of waves in the presence of black holes. Astrophysical black holes may eventually be probed by these techniques. The authors emphasise intuitive physical thinking in their treatment of the techniques of analysis of scattering, but alternate this with chapters on the rigourous mathematical development of the subject. High and low energy limiting cases are treated extensively and semi-classical results are also obtained. The analogy between Newtonian gravitational scattering and Coulomb quantum mechanical scattering is fully exploited. The book introduces...