Over the past three decades there has been a total revolution in
the classic branch of mathematics called 3-dimensional topology,
namely the discovery that most solid 3-dimensional shapes are
hyperbolic 3-manifolds. This book introduces and explains
hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds
in the first two chapters and then goes on to develop the subject.
The author discusses the profound discoveries of the astonishing
features of these 3-manifolds, helping the reader to understand
them without going into long, detailed formal proofs. The book is
heavily illustrated with pictures, mostly in color, that help
explain the manifold properties described in the text. Each chapter
ends with a set of exercises and explorations that both challenge
the reader to prove assertions made in the text, and suggest
further topics to explore that bring additional insight. There is
an extensive index and bibliography.
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