Non-Euclidean Geometry (Dover Books on Mathematics)
Stefan Kulczycki
ISBN 10: 0486462641 ISBN 13: 9780486462646
Editore: Dover Publications, 2008
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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.
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.
Product Description: Non Edulidean Geometry by Stefan Kulczycki, 9780486462646, Dover Publications, 2008, Paperback
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Titolo: Non-Euclidean Geometry (Dover Books on ...
Casa editrice: Dover Publications
Data di pubblicazione: 2008
Legatura: paperback
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NON EDULIDEAN GEOMETRY
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ISBN 10: 0486462641
ISBN 13: 9780486462646
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