Low-Dimensional Geometry (Student Mathematical Library: IAS/Park City Mathematical Subseries)
Product ID: 21943520
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desertcart.com: Low-Dimensional Geometry (Student Mathematical Library: IAS/Park City Mathematical Subseries): 9780821848166: Francis Bonahon: Books Review: Great book! Although - Great book! Although, I definitely was not prepared for it! I had to pick up a book on differential geometry (springer undergraduate series has a decent one) and another on introductory hyperbolic geometry (e.g. Greenberg) and THEN I was ready for this one. I'm not entirely too knowledgeable about mathland - I'm in community college and older and more or less going through this stuff on my own for fun (so take my review with many grains of salt) - but I'd say difficulty wise this lands smack-dab in the middle of Mumford, Series, Wright's "Indra's Pearls" and Marden's Outer Circles. It does take a different route than other books (and this is right in the Preface): "We decided to follow a different strategy, by discussing quotient (semi-)metrics very early on and in their full generality. This approach is, in our view, much more intuitive, but it comes with a price: Some proofs become somewhat technical." So yeah, it's great in its approach; it just sure ain't easy. Some of the proofs are over 2 pages long (although the author is very cute - he uses a television remote symbol where the proof starts to signify the start and end of the longer proofs). On a side note, I'm a bit of a queen when it comes to font, typesetting, illustrations, etc. And so far I've had very good luck with AMS' Student Mathematical Library (of which this is published under). The layout and font and overall quality of the publishing definitely make this much more suitable for studying the material on your own. Review: Great Introduction - Excellent introduction to the subject of low-dimensional geometry. I read this book as a warm-up for more advanced topics (algebraic topology, hyperbolic knot theory) and was not disappointed. This book is aimed at advanced undergraduates, but in reality if one has had a good semester of analysis and algebra this book should be very understandable. A passing familiarity with differential geometry will help as well.
| Best Sellers Rank | #3,193,469 in Books ( See Top 100 in Books ) #974 in Geometry #2,019 in Geometry & Topology (Books) |
| Customer Reviews | 3.9 3.9 out of 5 stars (4) |
| Dimensions | 5.5 x 1 x 8.25 inches |
| ISBN-10 | 082184816X |
| ISBN-13 | 978-0821848166 |
| Item Weight | 1.05 pounds |
| Language | English |
| Print length | 391 pages |
| Publication date | August 5, 2009 |
| Publisher | American Mathematical Society |
M**E
Great book! Although
Great book! Although, I definitely was not prepared for it! I had to pick up a book on differential geometry (springer undergraduate series has a decent one) and another on introductory hyperbolic geometry (e.g. Greenberg) and THEN I was ready for this one. I'm not entirely too knowledgeable about mathland - I'm in community college and older and more or less going through this stuff on my own for fun (so take my review with many grains of salt) - but I'd say difficulty wise this lands smack-dab in the middle of Mumford, Series, Wright's "Indra's Pearls" and Marden's Outer Circles. It does take a different route than other books (and this is right in the Preface): "We decided to follow a different strategy, by discussing quotient (semi-)metrics very early on and in their full generality. This approach is, in our view, much more intuitive, but it comes with a price: Some proofs become somewhat technical." So yeah, it's great in its approach; it just sure ain't easy. Some of the proofs are over 2 pages long (although the author is very cute - he uses a television remote symbol where the proof starts to signify the start and end of the longer proofs). On a side note, I'm a bit of a queen when it comes to font, typesetting, illustrations, etc. And so far I've had very good luck with AMS' Student Mathematical Library (of which this is published under). The layout and font and overall quality of the publishing definitely make this much more suitable for studying the material on your own.
D**E
Great Introduction
Excellent introduction to the subject of low-dimensional geometry. I read this book as a warm-up for more advanced topics (algebraic topology, hyperbolic knot theory) and was not disappointed. This book is aimed at advanced undergraduates, but in reality if one has had a good semester of analysis and algebra this book should be very understandable. A passing familiarity with differential geometry will help as well.
K**.
Good for All
This is a good book for a wide range of readers. Aimed at "dedicated" undergraduates, it has valuable lessons for the most advanced of algebraic topologists (Figure 12.5.) as well as, say, a 10 year old beginner (Exercise 12.8.). Those who can't understand the text will enjoy looking at the pictures (e.g., Figure 5.4.).
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