000			02396nam a2200361 4500
001			OTLid0000434
003			MnU
005			20201105133325.0
006			m o d s
008			180907s2017 mnu o 0 0 eng d
020			_a9781974214167
040			_aMnU _beng _cMnU
050		4	_aQA1
050		4	_aQA37.3
100	1		_aPetrunin, Anton _eauthor
245	0	0	_aEuclidean plane and its relatives _cAnton Petrunin
264		2	_bOpen Textbook Library
264		1	_bAnton Petrunin
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_aIntroduction -- 1 Preliminaries -- Euclidean geometry -- 2 The Axioms -- 3 Half-planes -- 4 Congruent triangles -- 5 Perpendicular lines -- 6 Similar triangles -- 7 Parallel lines -- 8 Triangle geometry -- Inversive geometry -- 9 Inscribed angles -- 10 Inversion -- Non-Euclidean geometry -- 11 Neutral Geometry -- 12 Hyperbolic plane -- 13 Geometry of h-plane -- Additional topics -- 14 Affine geometry -- 15 Projective geometry -- 16 Spherical geometry -- 17 Projective model -- 18 Complex coordinates -- 19 Geometric constructions -- 20 Area -- References -- Hints -- Index -- Used resources
520	0		_aThis book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. Approximately one-third of the material used to be covered in high school, but not any more.The present book is based on the courses given by the author at the Pennsylvania State University as an introduction to the foundations of geometry. The lectures were oriented to sophomore and senior university students. These students already had a calculus course. In particular,they are familiar with the real numbers and continuity. It makes it possible to cover the material faster and in a more rigorous way than it could be done in high school.
542	1		_fAttribution-ShareAlike
546			_aIn English.
588	0		_aDescription based on print resource
650		0	_aMathematics _vTextbooks
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/434 _zAccess online version
999			_c19817 _d19817