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The Poincare Conjecture In Search of the Shape of the Universe~tqw~ darksiderg

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Name:The Poincare Conjecture In Search of the Shape of the Universe~tqw~ darksiderg

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The Poincare Conjecture: In Search of the Shape of the Universe
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Type.................: Ebook
Part Size............: 22,511,155 bytes




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Posted by............: ~tqw~

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Release Notes
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In everyday life, conjectures are cheap; in mathematics, they sometimes
stimulate years of vigorous theorizing. In the case of Henri Poincaré (1854-
1912), the supposition was simply stated. "Consider a compact 3-dimensional
manifold V without boundary," he wrote. "Is it possible that the fundamental
group of V could be trivial, even though V is not homeomorphic to the 3-
dimensional sphere?" At the time of his death, this pregnant thought was still
in gestation. It would take almost a century for a mathematician to offer a
persuasive proof of this major conundrum. Written for nonprofessional readers,
The Poincaré Conjecture explains why the issue has loomed so large in scientific
circles and also provides stimulating capsule biographies of the thinkers who
prepared the way for its solution.

Table Of Contents

Preface ix
1. Cambridge, April 2003 1
2. The Shape ofthe Earth 6
3· possible Worlds 21
4· The Shape ofthe Universe 32
5· Euclid's Geometry 46
6. The Non-Euclideans 57
7· Bernhard Riemann's Probationary Lecture 75
8. Riemann's Legacy 88
9· Klein and Poincare 106
10. Poincare's Topological Papers 122
11. The Great Savants 137
12. The Conjecture Takes Hold 151
13· Higher Dimensions 163
14· A Solution in the New Millennium 182
15· Madrid, August 2006 195
Notes 201
Glossary of Terms 241
Glossary of Names 247
Timeline 253

Product Details
ISBN: 080271532X
ISBN-13: 9780802715326
Format: Hardcover, 304pp
Publisher: Walker & Company
Pub. Date: March 2007

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