Geometry with an Introduction to Cosmic Topology
Dublin Core
Title
Geometry with an Introduction to Cosmic Topology
Subject
Geometry, Cosmic Topology
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.
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.
Creator
Michael P. Hitchman,
Source
https://mphitchman.com/geometry/GCT2018.pdf
Publisher
Independent
Date
2018
Contributor
Baihaqi
Rights
Creative Commons
Format
PDF
Language
English
Type
Textbooks
Files
Collection
Citation
Michael P. Hitchman,, “Geometry with an Introduction to Cosmic Topology
,” Open Educational Resource (OER) - USK Library, accessed April 24, 2025, http://202.4.186.74:8004/oer/items/show/2851.
,” Open Educational Resource (OER) - USK Library, accessed April 24, 2025, http://202.4.186.74:8004/oer/items/show/2851.