Non-Euclidean Geometry by Stefan Kulczycki

Non-Euclidean Geometry by Stefan Kulczycki

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Non-Euclidean Geometry by Stefan Kulczycki

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.
SKU Non disponible
ISBN 13 9780486462646
ISBN 10 0486462641
Titre Non-Euclidean Geometry
Auteur Stefan Kulczycki
Série Dover Books On Mathematics
État Non disponible
Type de reliure Paperback
Éditeur Dover Publications Inc.
Année de publication 2008-02-29
Nombre de pages 208
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible