Read A Modern View of Geometry (Dover Books on Mathematics)

A Modern View of Geometry (Dover Books on Mathematics)

Leonard M. Blumenthal

4.9/5 (28518 ratings)

Description:"On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " — American Mathematical MonthlyElegant 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with A Modern View of Geometry (Dover Books on Mathematics). To get started finding A Modern View of Geometry (Dover Books on Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 447

Format: PDF, EPUB & Kindle Edition

Publisher: N/A

Release: 1961

ISBN: 0486821137

Description: "On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " — American Mathematical MonthlyElegant 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with A Modern View of Geometry (Dover Books on Mathematics). To get started finding A Modern View of Geometry (Dover Books on Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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A Modern View of Geometry (Dover Books on Mathematics)

A Modern View of Geometry (Dover Books on Mathematics)

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