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The Poincaré conjecture in search of the shape of the universe Donal O'Shea

By: Publication details: New York Walker & Co Distributed to the trade by Holtzbrinck Publishers 2007Edition: 1st U.S. edDescription: ix, 293 ill., maps 25 cmISBN:
  • 080271532X
  • 9780802715326
Subject(s): DDC classification:
  • 514/.2
Other classification:
Online resources:
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 Poincaré -- Poincaré's topological papers -- The great savants -- The conjecture takes hold -- Higher dimensions -- A solution in the new millennium -- Madrid, August 2006
Summary: Conceived 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
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Item type Current library Call number Status Date due Barcode
Carti IMAR II 35827 (Browse shelf(Opens below)) Available 0009034

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 Poincaré -- Poincaré's topological papers -- The great savants -- The conjecture takes hold -- Higher dimensions -- A solution in the new millennium -- Madrid, August 2006

Conceived 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

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