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This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject.
| Preface | ||
| Reader's Advisory | ||
| 1 | What Is a Manifold? | 3 |
| 2 | Hyperbolic Geometry and Its Friends | 43 |
| 3 | Geometric Manifolds | 109 |
| 4 | The Structure of Discrete Groups | 209 |
| Glossary | 289 | |
| Bibliography | 295 | |
| Index | 301 |
William P. Thurston is the Director of the Mathematical Sciences Research Institute in Berkeley, and Professor of Mathematics at the University of California at Davis. He received the Fields Medal in 1982 for his work on hyperbolic structures on 3-manifolds and foliations. Silvio Levy is editor of Experimental Mathematics and of the MSRI book series.
