The Poincare Conjecture: In Search of the Shape of the Universe (Google eBook)

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Bloomsbury Publishing USA, May 26, 2009 - Mathematics - 304 pages
17 Reviews
Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.

Poincaré's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.

In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.
  

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Review: The Poincare Conjecture: In Search of the Shape of the Universe

User Review  - Katlego Makgoale - Goodreads

I enjoy books about mathematics. Not a daunting read, easily understood and very clear explainations. Takes some imagination and thinking to get ones mind around the concepts discussed but all in all ... Read full review

Review: The Poincare Conjecture: In Search of the Shape of the Universe

User Review  - Snoakes - Goodreads

I assume that as you've read past the title, then you have embraced your inner nerd. Because you'll need to be quite nerdy to appreciate this book (I've given it four stars - says quite a lot about me ... Read full review

Contents

Cambridge April 2003
1
The Shape of the Earth
6
Possible Worlds
21
The Shape of the Universe
32
Euclids Geometry
46
The NonEuclideans
57
Bernhard Riemanns Probationary Lecture
75
Riemanns Legacy
88
The Conjecture Takes Hold
151
Higher Dimensions
163
A Solution in the New Millennium
182
Madrid August 2006
195
Notes
201
Glossary of Terms
241
Glossary of Names
247
Timeline
253

Klein and Poincare
106
Poincares Topological Papers
122
The Great Savants
137
Bibliography
259
Art Credits
273
Copyright

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About the author (2009)

Donal O'Shea is professor of mathematics and dean of faculty at Mount Holyoke College. He has written scholarly books and monographs, and his research articles have appeared in numerous journals and collections. He lives in South Hadley, Massachusetts.

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