Outer Circles An Introduction to Hyperbolic 3Manifolds A Marden 9780511618918 Books
Download As PDF : Outer Circles An Introduction to Hyperbolic 3Manifolds A Marden 9780511618918 Books
We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.
Outer Circles An Introduction to Hyperbolic 3Manifolds A Marden 9780511618918 Books
Al Marden anticipated some of Thurston's discoveries by some years (before many of the people cited in this book were born), and this book provides a very valuable survey of the subject from the "Ahlfors School" perspective (for example, there is a lot more analysis and a lot more 2x2 matrices than are customary in Thurston's more geometric work). The book provided a rapid and very lucid introduction to the subject -- it is probably a good idea to study it at the same time as Hyperbolic Manifolds and Discrete Groups (Modern Birkhäuser Classics)Product details
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Tags : Buy Outer Circles: An Introduction to Hyperbolic 3-Manifolds on Amazon.com ✓ FREE SHIPPING on qualified orders,A. Marden,Outer Circles: An Introduction to Hyperbolic 3-Manifolds,Cambridge University Press,0511618913,Geometry,MATHEMATICS Topology
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Outer Circles An Introduction to Hyperbolic 3Manifolds A Marden 9780511618918 Books Reviews
Al Marden anticipated some of Thurston's discoveries by some years (before many of the people cited in this book were born), and this book provides a very valuable survey of the subject from the "Ahlfors School" perspective (for example, there is a lot more analysis and a lot more 2x2 matrices than are customary in Thurston's more geometric work). The book provided a rapid and very lucid introduction to the subject -- it is probably a good idea to study it at the same time as Hyperbolic Manifolds and Discrete Groups (Modern Birkhäuser Classics)
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