Poincare Conjecture In Search of the Shape of the Universe

ISBN-10: 0802716547
ISBN-13: 9780802716545
Edition: N/A
Authors: Donal O'Shea
List price: $17.00 Buy it from $2.45
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Description: "O'Shea tells the fascinating story of this mathematical mystery and its solution by the eccentric Mr. Perelman."--"Wall Street Journal "In 1904, Henri Poincare, a giant among mathematicians who transformed the fledging area of topology into a  More...

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Book details

List price: $17.00
Publisher: Walker & Company
Publication date: 1/2/2008
Binding: Paperback
Pages: 304
Size: 5.50" wide x 8.00" long x 0.75" tall
Weight: 0.594
Language: English

"O'Shea tells the fascinating story of this mathematical mystery and its solution by the eccentric Mr. Perelman."--"Wall Street Journal "In 1904, Henri Poincare, a giant among mathematicians who transformed the fledging area of topology into a powerful field essential to all mathematics and physics, posed the Poincare conjecture, a tantalizing puzzle that speaks to the possible shape of the universe. For more than a century, the conjecture resisted attempts to prove or disprove it. As Donal O'Shea reveals in his elegant narrative, Poincare's conjecture opens a door to the history of geometry, from the Pythagoreans of ancient Greece to the celebrated geniuses of the nineteenth-century German academy and, ultimately, to a fascinating array of personalities--Poincare and Bernhard Riemann, William Thurston and Richard Hamilton, and the eccentric genius who appears to have solved it, Grigory Perelman. The solution seems certain to open up new corners of the mathematical universe.

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

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