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Preface to the Second Edition | ||
Preface to the First Edition | ||
Acknowledgments | ||
Pt. I | Surfaces and Three-Manifolds | 1 |
1 | Flatland | 3 |
2 | Gluing | 13 |
3 | Vocabulary | 25 |
4 | Orientability | 45 |
5 | Connected Sums | 65 |
6 | Products | 83 |
7 | Flat Manifolds | 99 |
8 | Orientability vs. Two-Sidedness | 125 |
Pt. II | Geometries on Surfaces | 133 |
9 | The Sphere | 135 |
10 | The Hyperbolic Plane | 149 |
11 | Geometries on Surfaces | 157 |
12 | The Gauss - Bonnet Formula and the Euler Number | 165 |
Pt. III | Geometries on Three-Manifolds | 185 |
13 | Four-Dimensional Space | 187 |
14 | The Hypersphere | 199 |
15 | Hyperbolic Space | 213 |
16 | Geometries on Three-Manifolds I | 219 |
17 | Bundles | 229 |
18 | Geometries on Three-Manifolds II | 243 |
Pt. IV | The Universe | 257 |
19 | The Universe | 259 |
20 | The History of Space | 279 |
21 | Cosmic Crystallography | 285 |
22 | Circles in the Sky | 295 |
App. A: Answers | 309 | |
App. B: Bibliography | 355 | |
App. C | Conway's ZIP Proof | 361 |
Index | 377 |
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Add Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds, Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments, Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds to the inventory that you are selling on WonderClubX
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Add Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds, Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments, Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds to your collection on WonderClub |