Published April 21, 2007
by Springer .
Written in English
Springer Undergraduate Mathematics Series
|The Physical Object|
|Number of Pages||276|
HYPERBOLIC GEOMETRY 63 We shall consider in this exposition ve of the most famous of the analytic models of hyperbolic geometry. Three are conformal models associated with the name of Henri Poincar e. A conformal model is one for which the metric is a point-by-point scaling of the Euclidean metric. Poincar e discovered his modelsFile Size: KB. Geometry Illuminated: An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry (MAA Textbooks) by Matthew Harvey | out of 5 stars 1. This is a truly excellent book for introducing advanced undergraduates to hyperbolic geometry. I used this text for an (extracurricular) undergraduate reading group. The book is very accessible and presents a reasonable range of exercises for undergrads (although not for grad students). It also has nice examples and proofs that are written with 5/5(2). Well it depends on your level of mathematical sophistication, but there are several good books. My main recommendation -- assuming you have some college level math knowledge -- is that if what you are interested in is specifically hyperbolic geo.
Sources of Hyperbolic Geometry book. Read reviews from world’s largest community for readers. This book presents, for the first time in English, the pape /5(2). This book provides a self-contained introduction to the subject, suitable for third or fourth year undergraduates. The basic approach taken is to define hyperbolic lines and develop a natural group of transformations preserving hyperbolic lines, and then study hyperbolic geometry as those quantities invariant under this group of transformations. HYPERBOLIC GEOMETRY 63 We shall consider in this exposition ve of the most famous of the analytic models of hyperbolic geometry. Three are conformal models associated with the name of Henri Poincar e. A conformal model is one for which the metric is a point-by-point scaling of the Euclidean metric. Poincar e discovered his models. DIY hyperbolic geometry Kathryn Mann written for Mathcamp Abstract and guide to the reader: This is a set of notes from a 5-day Do-It-Yourself (or perhaps Discover-It-Yourself) intro-duction to hyperbolic geometry. Everything from geodesics to Gauss-Bonnet, starting with aFile Size: 4MB.
In the resulting “gyrolanguage” of the book one attaches the prefix “gyro” to a classical term to mean the analogous term in hyperbolic geometry. The prefix stems from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Gyrolanguage turns out to be the language one needs to. Although the majority of the book is about 3-manifolds, the first two chapters are an introduction to hyperbolic geometry brimming with vim. Beardon's Geometry of Discrete Groups, Iversen's Hyperbolic Geometry, and Bonahon's Low-dimensional Geometry, and Katok's Fuchsian Groups all have exercises. is a platform for academics to share research papers. This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics. It sets out to provide recognition of Beltrami comparable to that given the pioneering works of Bolyai and Labachevsky, not only because Beltrami rescued hyperbolic geometry from oblivion by proving to be logically consistent, but.