Outer circles

An introduction to hyperbolic 3-Manifolds

Albert Marden

Research output: Book/ReportBook

35 Citations (Scopus)

Abstract

We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study

Original languageEnglish (US)
PublisherCambridge University Press
Number of pages427
ISBN (Electronic)9780511618918
ISBN (Print)9780521839747
DOIs
StatePublished - Jan 1 2007

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Hyperbolic 3-manifold
Basic mathematics
Circle
Lobachevskian geometry
Hyperbolic Manifold
Geometric object
Complex Analysis
Expertise
Sort
Exercise
Topology
Three-dimensional
Background
Design
Bibliography
Text

Cite this

Outer circles : An introduction to hyperbolic 3-Manifolds. / Marden, Albert.

Cambridge University Press, 2007. 427 p.

Research output: Book/ReportBook

Marden, Albert. / Outer circles : An introduction to hyperbolic 3-Manifolds. Cambridge University Press, 2007. 427 p.
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