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 Title: Geometry with an Introduction to Cosmic Topology
 Author(s) Michael P. Hitchman
 Publisher: CreateSpace (June 8, 2018); eBook (2020 Edition, Creative Commons Licensed)
 License(s): CC BY 4.0
 Paperback: 275 pages
 eBook: HTML and PDF
 Language: English
 ASIN/ISBN10: 1717134815
 ISBN13: 9781717134813
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Book Description
This book follows the Erlangen program to develop hyperbolic, elliptic, and Euclidean geometry  three possibilities for the global geometry of the universe.
The text uses Mobius transformations in the extended complex plane to define and investigate these three candidate geometries, thereby providing a natural setting in which to express results common to them all, as well as results that encapsulate key differences.
With these geometries in hand, the text then explores the interplay between the shape of a space and the type of geometry it admits.
About the Authors N/A
 Geometry and Topology
 Physics, Computational Physics, and Mathematical Physics
 Differential Equations and Dynamical Systems
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