A Modern View of Geometry / Dover Books on Mathematics (ePub)
(Sprache: Englisch)
"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...
Elegant and original, this exposition explores the foundations and development of both Euclidean and...
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"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.
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.
Autoren-Porträt von Leonard M. Blumenthal
Leonard M. Blumenthal
Bibliographische Angaben
- Autor: Leonard M. Blumenthal
- 2017, 208 Seiten, Englisch
- Verlag: Dover Publications
- ISBN-10: 0486821137
- ISBN-13: 9780486821139
- Erscheinungsdatum: 19.04.2017
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: ePub
- Größe: 7.04 MB
- Mit Kopierschutz
Sprache:
Englisch
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