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Shape of Space
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General Information
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Type.................: Ebook
Part Size............: 9,148,164 bytes
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Posted by............: ~tqw~
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Release Notes
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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 to determine the true shape of the universe and contains
illustrated examples and engaging exercises that teach mind-expanding ideas in
an intuitive and informal way. Bridging the gap from geometry to the latest work
in observational cosmology, the book illustrates the connection between geometry
and the behavior of the physical universe and explains how radiation remaining
from the big bang may reveal the actual shape of the universe.
Table of Contents
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
Product Details
* ISBN: 0824707095
* ISBN-13: 9780824707095
* Format: Textbook Hardcover, 408pp
* Publisher: Taylor & Francis, Inc.
* Pub. Date: December 2001
* Edition Description: REV
* Edition Number: 2
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