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" Low-dimensional geometry : "
Francis Bonahon
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BL
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| Record Number
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587159
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| Doc. No
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b416378
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| Main Entry
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Bonahon, Francis,1955-
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| Title & Author
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Low-dimensional geometry : : from Euclidean surfaces to hyperbolic knots /\ Francis Bonahon
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| Publication Statement
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Providence, R.I. :: American Mathematical Society ;Princeton, N.J. :: Institute for Advanced Study,, c2009
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| Series Statement
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Student mathematical library ;; v. 49.IAS/Park City mathematical subseries
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| Page. NO
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xvi, 384 p. :: ill. ;; 22 cm
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| ISBN
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082184816X (alk. paper)
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: 9780821848166 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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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
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| Abstract
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"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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| Subject
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Manifolds (Mathematics)
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| Subject
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Geometry, Hyperbolic
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| Subject
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Geometry, Plane
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Knot theory
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| Dewey Classification
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516/.07
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| LC Classification
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QA613.B66 2009
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