The Poincare Conjecture: In Search of the Shape of the Universe by O'Shea

这是 Clay Mathematics Institute 七个数学难题中，其中的一个，唯一被证明的数学假设。
七个问题，解决任何一个可以得一百万美元悬赏，但这位俄罗斯搞数学的， 圣彼得堡人：Grigori Perelman
断然拒绝了奖章和1百万美圆的奖励。




Publication Date: May 26, 2009

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.