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The Poincare Conjecture: In Search of the Shape of the Universe<br />
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Type.................: Ebook<br />
Part Size............: 22,511,155 bytes<br />
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Posted by............: ~tqw~<br />
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Release Notes<br />
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In everyday life, conjectures are cheap; in mathematics, they sometimes <br />
stimulate years of vigorous theorizing. In the case of Henri Poincaré (1854-<br />
1912), the supposition was simply stated. "Consider a compact 3-dimensional <br />
manifold V without boundary," he wrote. "Is it possible that the fundamental <br />
group of V could be trivial, even though V is not homeomorphic to the 3-<br />
dimensional sphere?" At the time of his death, this pregnant thought was still <br />
in gestation. It would take almost a century for a mathematician to offer a <br />
persuasive proof of this major conundrum. Written for nonprofessional readers, <br />
The Poincaré Conjecture explains why the issue has loomed so large in scientific <br />
circles and also provides stimulating capsule biographies of the thinkers who <br />
prepared the way for its solution.<br />
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Table Of Contents<br />
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Preface ix<br />
1. Cambridge, April 2003 1<br />
2. The Shape ofthe Earth 6<br />
3· possible Worlds 21<br />
4· The Shape ofthe Universe 32<br />
5· Euclid's Geometry 46<br />
6. The Non-Euclideans 57<br />
7· Bernhard Riemann's Probationary Lecture 75<br />
8. Riemann's Legacy 88<br />
9· Klein and Poincare 106<br />
10. Poincare's Topological Papers 122<br />
11. The Great Savants 137<br />
12. The Conjecture Takes Hold 151<br />
13· Higher Dimensions 163<br />
14· A Solution in the New Millennium 182<br />
15· Madrid, August 2006 195<br />
Notes 201<br />
Glossary of Terms 241<br />
Glossary of Names 247<br />
Timeline 253<br />
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Product Details<br />
ISBN: 080271532X<br />
ISBN-13: 9780802715326<br />
Format: Hardcover, 304pp<br />
Publisher: Walker & Company<br />
Pub. Date: March 2007<br />
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