Praise for the first edition: „... The textbook is a good and useful introduction to hyperbolic geometry, and can be recommended for undergraduate courses.“
Newsletter of the EMS, Issue 41, December 2001

From the reviews of the second edition:

„The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, suitable for third or fourth year undergraduates. … The basic approach taken is to define hyperbolic lines and develop a natural group of transformations preserving hyperbolic lines, and then study hyperbolic geometry as those quantities invariant under this group of transformations.“ (L’Enseignement Mathematique, Vol. 51 (3-4), 2005)