Three-Dimensional Geometry and Topology, Vol. 1

Three-Dimensional Geometry and Topology, Vol. 1 pdf epub mobi txt 电子书 下载 2025

出版者:Princeton University Press
作者:William P. Thurston
出品人:
页数:328
译者:
出版时间:1997-1-17
价格:USD 97.50
装帧:Hardcover
isbn号码:9780691083049
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图书标签:
  • 拓扑 
  • 数学 
  • 几何 
  • Thurston 
  • geometry 
  • 低维 
  • 美国 
  • topology 
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This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincar Conjecture. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation.

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大二的时候泛泛读的,天才的著作,富有激情与创造力。里面的很多问题,通过纯粹想象而不是逻辑推导的方式去思考很有意思。每次跟美术学院的老哥们吹牛逼的时候,材料大都从这里来

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大二的时候泛泛读的,天才的著作,富有激情与创造力。里面的很多问题,通过纯粹想象而不是逻辑推导的方式去思考很有意思。每次跟美术学院的老哥们吹牛逼的时候,材料大都从这里来

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大二的时候泛泛读的,天才的著作,富有激情与创造力。里面的很多问题,通过纯粹想象而不是逻辑推导的方式去思考很有意思。每次跟美术学院的老哥们吹牛逼的时候,材料大都从这里来

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大二的时候泛泛读的,天才的著作,富有激情与创造力。里面的很多问题,通过纯粹想象而不是逻辑推导的方式去思考很有意思。每次跟美术学院的老哥们吹牛逼的时候,材料大都从这里来

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大二的时候泛泛读的,天才的著作,富有激情与创造力。里面的很多问题,通过纯粹想象而不是逻辑推导的方式去思考很有意思。每次跟美术学院的老哥们吹牛逼的时候,材料大都从这里来

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