Synopsis
"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.
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About the Author
Leonard M. Blumenthal (1901–84) was Professor of Mathematics at the University of Missouri. In addition to this volume, he wrote Theory and Applications of Distance Geometry.
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21 x 14 cm, paperback, viii, 192, (14) pages, Text in English, edges few pages slightly damaged, paper aged toned, although still in very good condition, see picture. Unabridged and corrected republication of the 1961 edition published by W.H. Freeman, presenting a metric and axiomatic approach to modern geometry. Includes exercises and references for advanced study. 260g. Seller Inventory # 81143
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Condition: Einband lichtrandig. 8°, XII, 191 S. mit Index, 8 Bl. mit Verlagsanzeigen, kartoniert. This Dover edition, first published in 1980, is an unabridged and corrected republication of the work originally published in 1961 by W. H. Freeman and Company. Name auf Vorsatz. Lang: englisch 250 g. Seller Inventory # 20587
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