Title
Geometry with an Introduction to Cosmic Topology
Files
Download Full Text
Contributors
Michael P. Hitchman - Author
Copyright Year
2018
Description
Motivated by questions in cosmology/ the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic/ elliptic/ and Euclidean geometry - three possibilities for the global geometry of the universe. The text/ written for students who have taken vector calculus/ also explores the interplay between the shape of a space and the type of geometry it admits. Geometry is suitable for a semester course in non-Euclidean geometry or as a guide to independent study/ with over 200 exercises and several essays on topics including the history of geometry/ parallax and curvature/ and research aimed at determining the shape of the universe.
Subject 1
Mathematics - Applied
Publisher
Michael P. Hitchman
Resources
Open Textbook Library
License
Attribution-ShareAlike
Recommended Citation
"Geometry with an Introduction to Cosmic Topology" (2021). Open Textbooks. 639.
https://mds.marshall.edu/oa-textbooks/639