The Arithmetic of Hyperbolic 3-Manifolds

This text is based on graduate courses given by the authors. The seminal work of W. Thurston in the 1970's, in which geometric techniques were introduced to 3-dimensional topology, has made the area one of the most active areas of current research. Recently there has been considerable interest in developing techniques based on connections of hyperbolic 3-manifolds with number theory to attack problems on hyperbolic 3-manifolds.