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Hyperbolic Geometry
1. The Basic Spaces.- 2. The General Möbius Group.- 3. Length and Distance in ?.- 4. Other Models of the Hyperbolic Plane.- 5. Convexity, Area, and Trigonometry.- 6. Groups Acting on ?.- Solutions.- Further Reading.- References.- Notation.
- GenresMathematicsGeometry
Paperback Bunko
First published October 18, 1999
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Displaying 1 of 1 review
July 7, 2022
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.
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.
Displaying 1 of 1 review