000			01981nam a2200349 4500
001			OTLid0000743
003			MnU
005			20201105133356.0
006			m o d s
008			190713s2018 mnu o 0 0 eng d
020			_a
040			_aMnU _beng _cMnU
050		4	_aQA37.3
245	0	0	_aGeometry with an Introduction to Cosmic Topology _cMichael Hitchman
264		2	_bOpen Textbook Library
264		1	_bMichael P. Hitchman
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_a1 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		_aMotivated 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		_fAttribution-ShareAlike
546			_aIn English.
588	0		_aDescription based on print resource
650		0	_aApplied mathematics _vTextbooks
700	1		_aHitchman, Michael P. _eauthor
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/743 _zAccess online version
999			_c20092 _d20092