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Three-Dimensional Geometry and Topology, Volume 1 - (PMS-35) (Hardcover, New) Loot Price: R2,414
Discovery Miles 24 140
You Save: R251 (9%)
Three-Dimensional Geometry and Topology, Volume 1 - (PMS-35) (Hardcover, New): William P. Thurston

Three-Dimensional Geometry and Topology, Volume 1 - (PMS-35) (Hardcover, New)

William P. Thurston; Edited by Silvio Levy

Series: Princeton Mathematical Series

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List price R2,665 Loot Price R2,414 Discovery Miles 24 140 | Repayment Terms: R226 pm x 12* You Save R251 (9%)

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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 Poincare Conjecture.

In 2005 Thurston won the first AMS Book Prize, for "Three-dimensional Geometry and Topology." The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. 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."

General

Imprint: Princeton University Press
Country of origin: United States
Series: Princeton Mathematical Series
Release date: February 1997
First published: February 1997
Authors: William P. Thurston
Editors: Silvio Levy
Dimensions: 235 x 152 x 26mm (L x W x T)
Format: Hardcover - Trade binding
Pages: 328
Edition: New
ISBN-13: 978-0-691-08304-9
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 0-691-08304-5
Barcode: 9780691083049

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