The Poincaré conjecture : in search of the shape of the universe / Donal O'Shea
Material type:
- 080271532X
- 9780802715326
- 9780802716545
- 0802716547
- ARCH YNDC 523.1 O999P
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SAIACS Archives Room | Yandell Collection | ARCH YNDC 523.1 O999P (Browse shelf(Opens below)) | Not for loan | 063531 |
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ARCH YNDC 523.1 E42C Cosmos and history; the myth of the eternal return. | ARCH YNDC 523.1 E47F The far-future universe : eschatology from a cosmic perspective / | ARCH YNDC 523.1 G846B The birth of time : how astronomers measured the age of the universe / | ARCH YNDC 523.1 O999P The Poincaré conjecture : in search of the shape of the universe / | ARCH YNDC 523.1 R328O Our cosmic habitat / | ARCH YNDC 523.1 W592P Process and reality ; an essay in cosmology. | ARCH YNDC 523.109 W947C Cosmology in antiquity / |
Includes bibliographical references (pages 259-272) and index
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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