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~tqw~ darksiderg
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  *******************************************************************************<br /> The Poincare Conjecture: In Search of the Shape of the Universe<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 22,511,155 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> In everyday life, conjectures are cheap; in mathematics, they sometimes <br /> stimulate years of vigorous theorizing. In the case of Henri Poincar&eacute; (1854-<br /> 1912), the supposition was simply stated. &quot;Consider a compact 3-dimensional <br /> manifold V without boundary,&quot; he wrote. &quot;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?&quot; 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 Poincar&eacute; 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 /> <br /> Table Of Contents<br /> <br /> Preface ix<br /> 1. Cambridge, April 2003 1<br /> 2. The Shape ofthe Earth 6<br /> 3&middot; possible Worlds 21<br /> 4&middot; The Shape ofthe Universe 32<br /> 5&middot; Euclid's Geometry 46<br /> 6. The Non-Euclideans 57<br /> 7&middot; Bernhard Riemann's Probationary Lecture 75<br /> 8. Riemann's Legacy 88<br /> 9&middot; 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&middot; Higher Dimensions 163<br /> 14&middot; A Solution in the New Millennium 182<br /> 15&middot; Madrid, August 2006 195<br /> Notes 201<br /> Glossary of Terms 241<br /> Glossary of Names 247<br /> Timeline 253<br /> <br /> Product Details<br /> ISBN: 080271532X<br /> ISBN-13: 9780802715326<br /> Format: Hardcover, 304pp<br /> Publisher: Walker &amp; Company<br /> Pub. Date: March 2007<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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