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050 0 0 _aQA612
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082 0 4 _a514/.2
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100 1 _aO'Shea, Donal.
_934758
245 1 4 _aThe Poincaré conjecture:
_bin search of the shape of the universe /
_cDonal O'Shea.
250 _a1st U.S. ed.
260 _aNew York :
_bWalker & Co. ;
_bDistributed to the trade by Holtzbrinck Publishers,
_c2007.
300 _aix, 293 :
_bill., maps ;
_c25 cm.
504 _aIncludes bibliographical references (p. 259-272) and index.
505 0 _aCambridge, 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 Poincaré -- Poincaré's topological papers -- The great savants -- The conjecture takes hold -- Higher dimensions -- A solution in the new millennium -- Madrid, August 2006.
520 _aConceived in 1904, the Poincaré 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.
600 1 0 _aPoincaré, Henri,
_d1854-1912.
_934759
600 1 0 _aPerelman, Grigori,
_d1966-
_934760
650 0 _aAlgebraic topology.
_934761
650 0 _aMathematics
_xAwards
_xHistory.
_934762
650 0 _aMathematicians
_xHistory.
_934763
711 2 _aInternational Congress of Mathematicians
_d(2006 :
_cMadrid, Spain)
_934764
856 4 1 _3Table of contents only
_uhttp://www.loc.gov/catdir/toc/fy1002/2007310348.html
856 4 2 _3Contributor biographical information
_uhttp://www.loc.gov/catdir/enhancements/fy0730/2007310348-b.html
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy0730/2007310348-d.html
856 4 1 _3Sample text
_uhttp://www.loc.gov/catdir/enhancements/fy0730/2007310348-s.html
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