Foundations of Hyperbolic Manifolds
John Ratcliffe
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Description for Foundations of Hyperbolic Manifolds
Hardcover. This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks. Series: Graduate Texts in Mathematics. Num Pages: 794 pages, biography. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational. Dimension: 237 x 167 x 47. Weight in Grams: 1252.
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
Product Details
Format
Hardback
Publication date
2006
Publisher
Springer-Verlag New York Inc. United States
Number of pages
796
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
782
Place of Publication
New York, NY, United States
ISBN
9780387331973
SKU
V9780387331973
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Foundations of Hyperbolic Manifolds
From the reviews of the second edition: "Designed to be useful as both textbook and a reference, this book renders a real service to the mathematical community by putting together the tools and prerequisites needed to enter the territory of Thurston’s formidable theory of hyperbolic 3-mainfolds … . Every chapter is followed by historical notes, ... Read more