Outer Circles: An Introduction to Hyperbolic 3-Manifolds - Hardcover

Marden, A.

Hardcover

ISBN 10: 0521839742 ISBN 13: 9780521839747

Publisher: Cambridge University Press, 2007

Synopsis

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.

About this title

About the Author

Albert Marden is a Professor of Mathematics in the School of Mathematics at the University of Minnesota.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2007
• Language: English
• ISBN 10: 0521839742
• ISBN 13: 9780521839747
• Binding: Hardcover
• Number of pages: 446