Non-Euclidean Geometry - Couverture souple

Kulczycki, Stefan

Couverture souple

ISBN 10 : 0486462641 ISBN 13 : 9780486462646

Editeur : Dover Publications Inc., 2008

Synopsis

This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.
Starting with fundamental assumptions, the author examines the theorems of Hjelmslev, mapping a plane into a circle, the angle of parallelism and area of a polygon, regular polygons, straight lines and planes in space, and the horosphere. Further development of the theory covers hyperbolic functions, the geometry of sufficiently small domains, spherical and analytical geometry, the Klein model, and other topics. Appendixes include a table of values of hyperbolic functions.

Détails de l'édition

• Éditeur: Dover Publications Inc.
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0486462641
• ISBN 13: 9780486462646
• Reliure: Broché
• Nombre de pages: 208
• Coordonnées du fabricant: non disponible
• Personne responsable: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italie