000 02042aam a2200205 4500
008 170509b2016 xxu||||| |||| 00| 0 eng d
020 _a9781107116740
082 _a515.946
100 _aMarden, Albert
245 _aHyperbolic manifolds: an introduction in 2 and 3 dimensions
_cMarden, Albert
260 _bCambridge university press
300 _axvii, 513 p.
504 _aTable of Contents 1. Hyperbolic space and its isometries 2. Discrete groups 3. Properties of hyperbolic manifolds 4. Algebraic and geometric convergence 5. Deformation spaces and the ends of manifolds 6. Hyperbolization 7. Line geometry 8. Right hexagons and hyperbolic
520 _aOver 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. http://www.cambridge.org/nu/academic/subjects/mathematics/geometry-and-topology/hyperbolic-manifolds-introduction-2-and-3-dimensions?format=HB&isbn=9781107116740#HawOuByP3RI8Xk1V.97
650 _aComplex manifolds
650 _aGeometry - Hyperbolic
650 _aHyperbolic spaces
650 _aThree-manifolds - Topology
942 _2ddc
999 _c206346