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The Poincare conjecture: in search of the shape of the universe / Donal O'Shea.
- Format:
- Book
- Conference/Event
- Author/Creator:
- O'Shea, Donal.
- Conference Name:
- International Congress of Mathematicians (2006 : Madrid, Spain)
- Language:
- English
- Subjects (All):
- Poincarâe, Henri, 1854-1912.
- Poincarâe, Henri.
- Perelman, Grigori, 1966-.
- Perelman, Grigori.
- Algebraic topology.
- Mathematics--Awards--History.
- Mathematics.
- Mathematics--Awards.
- History.
- Mathematicians--History.
- Mathematicians.
- Physical Description:
- ix, 293 : illustrations, portraits, maps ; 25 cm
- Edition:
- First U.S. edition.
- Place of Publication:
- New York : Walker & Co. : Distributed to the trade by Holtzbrinck Publishers, 2007.
- Summary:
- Conceived in 1904, the Poincarâe conjecture, a puzzle that speaks to the possible shape of the universe and lies at the heart of modern topology and geometry, has resisted attempts by generations of mathematicians to prove or to disprove it. Despite a million-dollar prize for a solution, Russian mathematician Grigory Perelman, posted his solution on the Internet instead of publishing it in a peer-reviewed journal. This book "tells the story of the fascinating personalities, institutions, and scholarship behind the centuries of mathematics that have led to Perelman's dramatic proof." The author also chronicles dramatic events at the 2006 International Congress of Mathematicians in Madrid, where Perelman was awarded a Fields Medal for his solution, which he declined.
- Contents:
- 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 Poincarâe
- Poincarâe's topological papers
- The great savants
- The conjecture takes hold
- Higher dimensions
- A solution in the new millennium
- Madrid, August 2006.
- Notes:
- Includes bibliographical references (pages 259-272) and index.
- Local Notes:
- Acquired for the Penn Libraries with assistance from the Edward Potts Cheyney Memorial Fund.
- ISBN:
- 080271532X
- 9780802715326
- OCLC:
- 85767971
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