Fundamentals of hyperbolic geometry : selected expositions / edited by Richard D. Canary, David Epstein, Albert Marden.

Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work...

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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 328.
Corporate Author: London Mathematical Society (Issuing body)
Other Authors: Canary, Richard Douglas (Editor)
Marden, Albert (Editor)
Epstein, D. B. A. (Editor)
Thurston, William P., 1946-2012
Patterson, S. J.
Language:English
Published: Cambridge : Cambridge University Press, 2006.
Series:London Mathematical Society lecture note series ; 328.
Subjects:
Genre:
Online Access:
Physical Description:1 online resource (xii, 335 pages) : digital, PDF file(s).
Format: Electronic eBook

MARC

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245 0 0 |a Fundamentals of hyperbolic geometry :  |b selected expositions /  |c edited by Richard D. Canary, David Epstein, Albert Marden. 
264 1 |a Cambridge :  |b Cambridge University Press,  |c 2006. 
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490 1 |a London Mathematical Society lecture note series ;  |v 328 
500 |a Title from publisher's bibliographic system (viewed on 05 Oct 2015). 
500 |a Selected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham. 
505 0 |a Preface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson. 
520 |a Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds. 
650 0 |a Geometry, Hyperbolic  |v Congresses.  |0 http://id.loc.gov/authorities/subjects/sh85054149 
650 0 |a Hyperbolic spaces  |v Congresses.  |0 http://id.loc.gov/authorities/subjects/sh86006874 
650 0 |a Three-manifolds (Topology)  |v Congresses.  |0 http://id.loc.gov/authorities/subjects/sh85135028 
650 0 |a Kleinian groups  |v Congresses.  |0 http://id.loc.gov/authorities/subjects/sh85072631 
700 1 |a Canary, Richard Douglas,  |e editor.  |0 http://id.loc.gov/authorities/names/nr89006126 
700 1 |a Marden, Albert,  |e editor.  |0 http://id.loc.gov/authorities/names/no2006074049 
700 1 |a Epstein, D. B. A.,  |e editor.  |0 http://id.loc.gov/authorities/names/n85300763 
700 1 2 |a Thurston, William P.,  |d 1946-2012.  |t Earthquakes in 2-dimensional hyperbolic geometry.  |0 http://id.loc.gov/authorities/names/n85156270 
700 1 2 |a Patterson, S. J.  |t Lectures on measures on limit sets of Kleinian groups.  |0 http://id.loc.gov/authorities/names/n86052079 
710 2 |a London Mathematical Society,  |e issuing body.  |0 http://id.loc.gov/authorities/names/n79118957 
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