000			01368nam a2200169 a 4500
020			_a9780486639628
020			_a0486639622
082			_a516 _bBLU
100			_aBlumenthal, Leonard M.
245		2	_aA modern view of geometry
260			_aNew York : _bDover Publications, _c1980.
300			_a191 pages : _billustrations ;
500			_aIncludes Index
520			_a"On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " American Mathematical Monthly Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry. Geared toward undergraduate and graduate students, the treatment begins with a brief but engaging sketch of the historical background of Euclidean geometry and an elementary summary of set theory and propositional calculus. Subsequent chapters explore coordinates in an affine plane, including those with Desargues and Pappus properties, and coordinatizing projective planes. The final two chapters contain detailed developments of simple sets of postulates for the Euclidean and non-Euclidean planes.
650			_aGeometry.
942			_cBK
999			_c38030 _d38030