Geometry with an Introduction to Cosmic Topology
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...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Department of Mathematics, McMinnville, Oregon
Michael P. Hitchman
2020.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| 001 | OTLid0000743 | ||
| 003 | MnU | ||
| 005 | 20240122145205.0 | ||
| 006 | m o d s | ||
| 007 | cr | ||
| 008 | 190713s2018 mnu o 0 0 eng d | ||
| 040 | |a MnU |b eng |c MnU | ||
| 050 | 4 | |a QA37.3 | |
| 050 | 4 | |a QA440-699 | |
| 245 | 0 | 0 | |a Geometry with an Introduction to Cosmic Topology |c Michael Hitchman |
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a Department of Mathematics, McMinnville, Oregon |b Michael P. Hitchman |c 2020. | |
| 264 | 4 | |c ©2018. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Open textbook library. | |
| 505 | 0 | |a 1 An Invitation to Geometry -- 2 The Complex Plane -- 3 Transformations -- 4 Geometry -- 5 Hyperbolic Geometry -- 6 Elliptic Geometry -- 7 Geometry on Surfaces -- 8 Cosmic Topology | |
| 520 | 0 | |a 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. | |
| 542 | 1 | |f Attribution-ShareAlike | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on print resource | |
| 650 | 0 | |a Applied mathematics |v Textbooks | |
| 650 | 0 | |a Geometry and Trigonometry |v Textbooks | |
| 700 | 1 | |a Hitchman, Michael P. |e author | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/743 |z Access online version |