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Poincare Conjecture In Search of the Shape of the Universe

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ISBN-10: 080271532X

ISBN-13: 9780802715326

Edition: 2007

Authors: Donal O'Shea

List price: $26.95
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Description:

Henri Poincare was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point. Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof…    
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Book details

List price: $26.95
Copyright year: 2007
Publisher: Walker & Company
Publication date: 3/6/2007
Binding: Hardcover
Pages: 304
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 1.232
Language: English

Preface
Cambridge, April 2003
The Shape of the Earth
Possible Worlds
The Shape of the Universe
Euclid's Geometry
The Non-Euclideans
Bernhard Riemann's Probationary Lecture
Riemann's Legacy
Klein and Poincare
Poincare's Topological Papers
The Great Savants
The Conjecture Takes Hold
Higher Dimensions
A Solution in the New Millennium
Madrid, August 2006
Notes
Glossary of Terms
Glossary of Names
Timeline
Bibliography
Further Reading
Art Credits
Acknowledgments
Index