eBook - ePub

A Modern View of Geometry

Name: A Modern View of Geometry
ISBN: 9780486821139

Leonard M. Blumenthal,

208 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

A Modern View of Geometry

Leonard M. Blumenthal,

About this book

"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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Yes, you can access A Modern View of Geometry by Leonard M. Blumenthal in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.