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 Unavailable
ISBN 13 9780486462646
ISBN 10 0486462641
Title Non-Euclidean Geometry
Author Stefan Kulczycki
Series Dover Books On Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Dover Publications Inc.
Year published 2008-02-29
Number of pages 208
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable