Hyperbolic Geometry

by James W. Anderson

Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity Includes full solutions for all exercises Successful first edition sold over 800 copies in North America

Genres: Mathematics, Geometry

288 pages, Paperback

First published October 18, 1999

Reviews

[Ezra · Rating 3 out of 5]

Overall, I think this book was a good idea and was, from a high level, structured correctly. Additionally, I also really appreciate the liberally-given commentary that the author gives in many circumstances.

Chapters 1-4 were good. However, I felt that Chapters 5-6 were a bit messy. I also thought that a lot of the proofs throughout the book were executed in a more drawn-out and case-checking way than they needed to be, perhaps because the author wished to avoid drawing on more advanced techniques for this book, or perhaps because these proofs really must be tedious. To be clear, this is not to say that the proofs included too many details: it is that the method of proof itself was sometimes inelegant. I ultimately cannot say whether there are better proofs out there or not, but I can say that this made the book significantly less enjoyable for me.