A Modern View of Geometry - (Dover Books on Mathematics) by Leonard M Blumenthal (Paperback)
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<p/><br></br><p><b> About the Book </b></p></br></br>Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.<p/><br></br><p><b> Book Synopsis </b></p></br></br>"On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " -- <i>American Mathematical Monthly<br></i>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.<br>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.<p/><br></br><p><b> About the Author </b></p></br></br>Leonard M. Blumenthal (1901-84) was Professor of Mathematics at the University of Missouri. In addition to this volume, he wrote <i>Theory and Applications of Distance Geometry.</i>
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