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 hyperboli
Foundations of Hyperbolic Manifolds
โ Scribed by John Ratcliffe
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Leaves
- 793
- Series
- Graduate Texts in Mathematics
- Edition
- 2nd
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The book is nothing if not comprehensive, and if you work in the field, it is a useful reference to have close at hand. However, I would not recommend it to a student, since there is a good chance a student would be bored to death by the time he slogged his way through this. Thurston's notes (NOT his book), available for free from MSRI are available for free from MSRI, and are vastly superior as an introduction. Various survey papers by Vinberg (including the one in the Russian Encyclopedia of Mathematics: Geometry: Volume 2: Spaces of Constant Curvature (v. 2) are very lucid, and bring out the beauty of the subject much better than the book under review.
โฆ Table of Contents
front-matter.pdf......Page 1
001.pdf......Page 12
002.pdf......Page 46
003.pdf......Page 65
004.pdf......Page 111
005.pdf......Page 155
006.pdf......Page 199
007.pdf......Page 274
008.pdf......Page 345
009.pdf......Page 386
010.pdf......Page 446
011.pdf......Page 519
012.pdf......Page 611
013.pdf......Page 692
back-matter.pdf......Page 756
๐ SIMILAR VOLUMES
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 hyperboli
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. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American university. The book is divided
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. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American university. The first part is co
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 third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic group