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A Modern View of Geometry (Paperback) (ISBN-13: 9780486639628)
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Leonard M. Blumenthal
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Books
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Description
x"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.
Author: Leonard M. Blumenthal
ISBN-10: 0486639622
ISBN-13: 9780486639628
Publisher: Dover Publications
Language: English
Published: 04/19/2017
Pages: 208
Format: Paperback
Weight: 0.52lbs
Size: 8.24h x 5.63w x 0.44d
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.
Author: Leonard M. Blumenthal
ISBN-10: 0486639622
ISBN-13: 9780486639628
Publisher: Dover Publications
Language: English
Published: 04/19/2017
Pages: 208
Format: Paperback
Weight: 0.52lbs
Size: 8.24h x 5.63w x 0.44d
By Leonard M. Blumenthal
xLeonard 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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