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

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 mat...

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Bibliographic Details
Main Author: O'Shea, Donal
Corporate Author: International Congress of Mathematicians
Format: Conference Proceeding Book
Language:English
Published: New York : Walker & Co. : Distributed to the trade by Holtzbrinck Publishers, 2007.
Edition:1st U.S. ed.
Subjects:
Table of 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.