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The Arithmetic of Hyperbolic 3-Manifolds (Graduate Texts in Mathematics, 219)

The Arithmetic of Hyperbolic 3-Manifolds

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The Arithmetic of Hyperbolic 3-Manifolds (Graduate Texts in Mathematics, 219)

The Arithmetic of Hyperbolic 3-Manifolds

4.85 28,448 ratings · 8,727 reviews
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Overview: For the past twenty-five years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic 3-manifolds (and Kleinian groups), as these manifolds form the largest and least well-understood class of compact 3-manifolds. Familiar and new tools from diverse areas of mathematics have been utilized in these investigations, from topology, geometry, analysis, group theory, and, from the point of view of this book, algebra and number theory, this book is aimed at readers already familiar with the basics of hyperbolic 3-manifolds or Kleinian groups, and it is intended to introduce them to the interesting connections with number theory and the tools that will be required to pursue them. While there are a number of texts that cover the topological, geometric, and analytical aspects of hyperbolic 3-manifolds, this book is unique in that it deals exclusively with the arithmetic aspects, which are not covered in other texts.Colin Maclachlan is a Reader in the Department of Mathematical Sciences at the University of Aberdeen in Scotland, where he has served since 1968. He is a former President of the Edinburgh Mathematical Society.Alan W. Reid is a Professor in the Department of Mathematics at The University of Texas at Austin. He is a former Royal Society University Research Fellow, Alfred P. Sloan Fellow, and winner of the Sir Edmund Whittaker Prize from The Edinburgh Mathematical Society.Both authors have published extensively in the general area of discrete groups, hyperbolic manifolds, and low-dimensional topology.

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Published November 14, 2002
ISBN 587125
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Colin Maclachlan
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Colin Maclachlan is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Colin Maclachlan enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem.
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