Black Holes are regions of space-time where the gravitational field is so strong that not even light can escape. There has been much written on black holes, however in most cases they are treated as isolated objects. In this important new book, the author has found a number of cases in which the interaction of a black hole with another strong-field system (such as the background universe or another black hole) could be treated analytically. This includes using the powerful method of matched asymptotic expansions, and these wider ranging problems and examples are considered here for the first time. In addition to a thorough treatment of the equations of motion for a pair of black holes, the book provides a useful treatment of the standard theory for these objects. It will be widely read by all those working in gravitation, along with post-graduate students in mathematical physics.