Poincare Conjecture: In Search of the Shape of the Universe

Poincare Conjecture: In Search of the Shape of the Universe

by Donal O'Shea

Paperback(First Edition)

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Product Details

ISBN-13: 9780802716545
Publisher: Walker & Company
Publication date: 12/26/2007
Edition description: First Edition
Pages: 304
Product dimensions: 5.56(w) x 8.33(h) x 0.85(d)

About the Author

Donal O'Shea is a professor of mathematics and the dean of faculty and vice president for academic affairs of Mount Holyoke College in Massachusetts. This is his first book for a general audience. He lives in South Hadley, Massachusetts.

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The Poincare Conjecture

In Search of the Shape of the Universe
By O'Shea, Donal

Walker & Company

Copyright © 2007 O'Shea, Donal
All right reserved.

ISBN: 080271532X

"Mathematical knowledge builds on the work of those who have gone before us. Any one of us with an elementary school education can solve arithmetic and algebraic problems that would have defeated the most learned Babylonian scribes. Any one of us with a few courses of calculus and linear algebra can solve problems that Pythagoras, Archimedes, or even Newton could not have touched. A mathematics graduate student today can handle topological calculations that Riemann and Poincaré could not have begun. We are not smarter than they. Rather, we are their beneficiaries."


Excerpted from The Poincare Conjecture by O'Shea, Donal Copyright © 2007 by O'Shea, Donal. Excerpted by permission.
All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher.
Excerpts are provided by Dial-A-Book Inc. solely for the personal use of visitors to this web site.

Table of Contents

Preface     ix
Cambridge, April 2003     1
The Shape of the Earth     6
Possible Worlds     21
The Shape of the Universe     32
Euclid's Geometry     46
The Non-Euclideans     57
Bernhard Riemann's Probationary Lecture     75
Riemann's Legacy     88
Klein and Poincare     106
Poincare's Topological Papers     122
The Great Savants     137
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
Bibliography     259
Further Reading     271
Art Credits     273
Acknowledgments     275
Index     279

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