Modern View of Geometry (Dover Books on Mathematics) - Softcover

Blumenthal, Leonard Mascot

 
9780486639628: Modern View of Geometry (Dover Books on Mathematics)
Softcover
ISBN 10: 0486639622 ISBN 13: 9780486639628
Verlag: Dover Publications Inc., 1980

Inhaltsangabe

"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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Über die Autorin bzw. den Autor

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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Verlag
Dover Publications Inc.
Erscheinungsdatum
1980
Sprache
Englisch
ISBN 10 
0486639622
ISBN 13 
9780486639628
Einband
Taschenbuch
Anzahl der Seiten
208
Kontakt zum Hersteller
Dover
info@galileo-mc.de

Dachauer Str. 5-7
F�rstenfeldbruck
82256
Deutschland

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9780716704058: Modern View of Geometry (Undergraduate Mathematics Books)

Vorgestellte Ausgabe

ISBN 10:  0716704056 ISBN 13:  9780716704058
Verlag: W.H.Freeman & Co Ltd, 1961
Softcover