Geometry with an introduction to cosmic topology
"Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have an edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics and focuses on the mathematical tools used to investigate the shape of the universe. The text follows the Erlangen Program, which develops geometry in terms of a space and a group of transformations of that space. This approach to non-Euclidean geometry provides excellent material by which students can learn the more sophisticated modes of thinking necessary in upper-division mathematics courses."--Jacket
Print Book, English, ©2009
Jones and Bartlett Publishers, Sudbury, Mass., ©2009
xiii, 238 pages : illustrations (some color) ; 24 cm.
9780763754570, 0763754579
244068212
An invitation to geometry
The plane and complex numbers
Transformations
Geometry
Hyperbolic geometry
Elliptic geometry
Geometry on surfaces
Cosmic topology