By A. Marden
We are living in a three-d area; what kind of house is it? will we construct it from basic geometric gadgets? The solutions to such questions were present in the final 30 years, and Outer Circles describes the fundamental arithmetic wanted for these solutions in addition to making transparent the grand layout of the topic of hyperbolic manifolds as a complete. the aim of Outer Circles is to supply an account of the modern concept, available to these with minimum formal history in topology, hyperbolic geometry, and intricate research. The textual content explains what's wanted, and offers the services to take advantage of the first instruments to reach at an intensive knowing of the large photograph. This photo is extra crammed out by way of quite a few routines and expositions on the ends of the chapters and is complemented via a great quantity of top quality illustrations. there's an intensive bibliography for additional learn.