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Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds Book

Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds
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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
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  • Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds
  • Written by author Jeffrey R. Weeks
  • Published by Taylor & Francis, Inc., 12/12/2001
  • 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
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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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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

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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

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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

Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds

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