Modern View of Geometry - Couverture souple

Blumenthal, Leonard M.

Couverture souple

ISBN 10 : 0486639622 ISBN 13 : 9780486639628

Editeur : Dover Publications Inc., 2017

Synopsis

"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.

A propos du livre

À propos de l'auteur

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.

Détails de l'édition

• Éditeur: Dover Publications Inc.
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 0486639622
• ISBN 13: 9780486639628
• Reliure: Broché
• Nombre de pages: 224
• Coordonnées du fabricant: non disponible
• Personne responsable: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italie