A history of one of mathematics' most baffling conundrums looks at the century-old Poincar� Conjecture, a fundamental principle of modern geometry, topology, and the possible shape of the universe, as well as efforts by generations of mathematicians to find a solution to the problem, for which the Clay Mathematics Institute is offering a million-dollar prize. 30,000 first printing.

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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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