The Foundations of Geometry and the Non-Euclidean Plane
Publisher: Springer
Published: Dec 06, 2011
Format: paperback
Number of pages: 528
ISBN-13: 9781461257271
Description: The Foundations of Geometry and the Non-Euclidean Plane is a self-contained text for junior, senior, and first-year graduate courses. Historical material is interwoven with a rigorous ruler- and protractor axiomatic development of the Euclidean and hyperbolic planes. Additional topics include the classical axiomatic systems of Euclid and Hilbert, axiom systems for three and four dimensional absolute geometry, and Pieri's system based on rigid motions. Models, such as Taxicab Geometry, are used extensively to illustrate theory.
Notes: Source title: The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)