Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library: IAS/Park City Mathematical Subseries, 49, Band 49) - Softcover

Bonahon, Francis

 
9780821848166: Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library: IAS/Park City Mathematical Subseries, 49, Band 49)

Inhaltsangabe

Sharing his appreciation for the beauty of such mathematical objects as Kleinian groups and hyperbolic knots, Bonahon (University of Southern California) first introduces 2-dimensional geometry in chapters of incremental difficulty. He then applies hyperbolic geometry to classical problems in 3-dimensional topology and treats the general Geometrization Theorem for 3- dimensional manifolds, whose proofs were recently developed. Appendices provide a "toolkit" of the prerequisite math and difficulty-rated further reading. Chapters include proofs for theorems, illustrations, and exercises. Published in association with the Institute for Advanced Studies, Princeton/Park City Mathematical Institute. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.