000			04085cam a2200409Ki 4500
001			ocn861692510
003			OCoLC
005			20240726105352.0
008			131029s2001 enka ob 001 0 eng d
040			_aNT _beng _erda _epn _cNT _dE7B _dOCLCO _dYDXCP _dAUD _dEBLCP _dMHW _dIDEBK _dN15 _dOCLCF _dDEBSZ _dOCLCQ
020			_a9781107089280 _q((electronic)l(electronic)ctronic)
020			_a9780511549656 _q((electronic)l(electronic)ctronic)
020			_a9781107095533
050	0	4	_aQA471 _b.G466 2001
049			_aMAIN
100	1		_aPolster, Burkard. _e1
245	1	0	_aGeometries on surfaces /Burkard Polster and Günter Steinke.
260			_aCambridge ; _aNew York : _bCambridge University Press, _c(c)2001.
300			_a1 online resource (xxii, 490 pages) : _billustrations.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 84
504			_a2
520	1		_a"The projective, Mobius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces that satisfy an axiom of joining. This book summarises all known major results and open problems related to these classical geometries and their close (non-classical) relatives." "Topics covered include: classical geometries; methods for constructing non-classical geometries; classifications and characterisations of geometries. This work is related to a host of other fields including interpolation theory, convexity, differential geometry, topology, the theory of Lie groups and many more. The authors detail these connections, some of which are well-known, but many much less so." "Acting both as a referee for experts and as an accessible introduction for beginners, this book will interest anyone wishing to know more about incidence geometries and the way they interact."--Jacket.
505	0	0	_tGeometries for Pedestrians -- _tGeometries of Points and Lines -- _tGeometries on Surfaces -- _tFlat Linear Spaces -- _tModels of the Classical Flat Projective Plane -- _tConvexity Theory -- _tContinuity of Geometric Operations and the Line Space -- _tIsomorphisms, Automorphism Groups, and Polarities -- _tTopological Planes and Flat Linear Spaces -- _tClassification with Respect to the Group Dimension -- _tConstructions -- _tPlanes with Special Properties -- _tOther Invariants and Characterizations -- _tRelated Geometries -- _tSpherical Circle Planes -- _tModels of the Classical Flat Mobius Plane -- _tDerived Planes and Topological Properties -- _tConstructions -- _tGroups of Automorphisms and Groups of Projectivities -- _tThe Hering Types -- _tCharacterizations of the Classical Plane -- _tPlanes with Special Properties -- _tSubgeometries and Lie Geometries -- _tToroidal Circle Planes -- _tModels of the Classical Flat Minkowski Plane -- _tDerived Planes and Topological Properties -- _tConstructions -- _tAutomorphism Groups and Groups of Projectivities -- _tThe Klein-Kroll Types -- _tCharacterizations of the Classical Plane -- _tPlanes with Special Properties -- _tSubgeometries and Lie Geometries -- _tCylindrical Circle Planes -- _tModels of the Classical Flat Laguerre Plane -- _tDerived Planes and Topological Properties -- _tConstructions -- _tAutomorphism Groups and Groups of Projectivities -- _tThe Kleinewillinghofer Types -- _tCharacterizations of the Classical Plane -- _tPlanes with Special Properties -- _tSubgeometries and Lie Geometries -- _tGeneralized Quadrangles.
530			_a2 _ub
650		0	_aGeometry, Projective.
650		0	_aSurfaces.
655		1	_aElectronic Books.
700	1		_aSteinke, Günter, _d1955-
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569250&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hQA _m2001 _QOL _R _x _8NFIC _2LOC
994			_a92 _bNT
999			_c98113 _d98113
902			_a1 _bCynthia Snell _c1 _dCynthia Snell