THE POINCARE CONJECTURE AND THE SHAPE OF THE UNIVERSE

Book ID/图书代码： 02001004B09703

English Summary/英文概要： 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.

Chinese Summary/中文概要： Henri Poincaré 是十九世纪末、二十世纪初最伟大的数学家之一。他彻底改变了拓扑学（位置几何学）的领域，并得出几何学位置是不会随拉长和扭转而改变的理论。Henri Poincaré 猜想是现代几何学和拓扑学重要讨论点，甚至关于宇宙空间的形状。这个猜想也是七个“世纪问题”之一，找出答案的人可以获得一百万美圆的奖金。Grigory Perelman俄罗斯数学家，由他提供的关于这个猜想的相关数据很有可能获得数学领域勋章，其意义相当于诺贝尔奖，而且几乎可以肯定他还会获得Clay Institute 世纪大奖。
Donal O’Shea 通过告诉读者 Poincaré 猜想这个振奋人心的故事，让第一次接触到这个领域的大众读者们能够更容易的理解其意义，使数学领域更为形象化，以及赞扬了从古至今历代的数学家们，正是他们为数学做出的杰出贡献才使得Perelman的有关数据更具有了说服力。

Awards/获奖情况：

About the Author/作者介绍： 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.
Donal O’Shea位数学教授，也是Mount Holyoke 学院的教务长。一直著有多部学术书籍和论文，他的研究论文被大量报纸、杂志刊登和采集。现居住于South Hadley和Massachusetts。

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