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The Poincaré conjecture : in search of the shape of the universe

著者: Donal O'Shea
出版商: New York : Walker & Co. : Distributed to the trade by Holtzbrinck Publishers, 2007.
版本/格式:   图书 : 传记 : 英语 : 1st U.S. ed查看所有的版本和格式
数据库:WorldCat
提要:
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.  再读一些...
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提及的人: Henri Poincaré; Grigori Perelman; Henri Poincaré; Grigori Perelman
材料类型: 传记, 互联网资源
文件类型: 书, 互联网资源
所有的著者/提供者: Donal O'Shea
ISBN: 080271532X 9780802715326
OCLC号码: 85767971
描述: ix, 293 : ill., maps ; 25 cm.
内容: 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.
责任: Donal O'Shea.
更多信息:

摘要:

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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