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Low-dimensional geometry : from Euclidean surfaces to hyperbolic knots
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Low-dimensional geometry : from Euclidean surfaces to hyperbolic knots

Author: Francis Bonahon
Publisher: Providence, R.I. : American Mathematical Society ; Princeton, N.J. : Institute for Advanced Study, ©2009.
Series: Student mathematical library, v. 49.; Student mathematical library., IAS/Park City mathematical subseries.
Edition/Format:   Book : EnglishView all editions and formats
Summary:
"The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments."--BOOK JACKET.
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Francis Bonahon
ISBN: 082184816X 9780821848166
OCLC Number: 306803417
Description: xvi, 384 p. : ill. ; 22 cm.
Contents: The euclidean plane --
The hyperbolic plane --
The 2-dimensional sphere --
Gluing constructions --
Gluing examples --
Tessellations --
Group actions and fundamental domains --
The Farey tessellation and circle packing --
The 3-dimensional hyperbolic space --
Kleinian groups --
The figure-eight knot complement --
Geometrization theorems in dimension 3.
Series Title: Student mathematical library, v. 49.; Student mathematical library., IAS/Park City mathematical subseries.
Responsibility: Francis Bonahon.
More information:

Abstract:

"The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments."--BOOK JACKET.

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