ENGLISH

Hyperbolic geometry

By Birger Iversen

Book information

Publisher
Cambridge University Press
Year
1992
ISBN
9780521435284, 0521435285, 0521435080, 9780521435086
LCC
QA685 .I94 1992
Open Library ID
OL1725624M
Language
english
Format
PDF
Filesize
2 MB (2599567 bytes)
Series
London Mathematical Society student texts 25
Pages
312\312
Scanned
no
Time added
2010-05-31 15:29:46

Description

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.

Similar books