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Geometry with an Introduction to Cosmic Topology


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.



Publication Date



Jones and Bartlett Learning


Sudbury, Mass.


Description and cover image provided courtesy of Jones & Bartlett Learning.

An updated, interactive version of this textbook is available online - see the Links section below. Changes from the original are noted in the Preface.

Subject Areas

Geometry; Cosmic magnetic fields; Topology

Author/Editor Bio

Michael Hitchman is Associate Professor of Mathematics at Linfield College. He holds a Ph.D. in Mathematics from the University of Oregon and a B.A. in Mathematics from Swarthmore College.

Series Information

Jones and Bartlett Publishers series in mathematics. Geometry

Geometry with an Introduction to Cosmic Topology