The core of the book is the study of the space of the hyperbolic
manifolds endowed with the Chabauty and the geometric topology, and in
particular the proof of the hypberbolic surgery theorem in dimension
three, based on the representation of three-mainfolds as glued ideal
tetrahedra. The development of this main theme requires setting a wide
background forming the body of the book: the classical geometry of the
hyperbolic space, the Fenchel-Nielsen parametrization of the Teichmüller
space, Mostow's rigidity theorem, Margulis' lemma. As a conclusion some
features of bounded cohomology, flat fiber bundles and amenable groups
are mentioned.