Title: The foundations of geometry and the non-Euclidean plane (The Intext series in mathematics)
Publisher: Intext Educational Publishers
Publication Date: 1975
Language: English
ISBN 10: 070022470X
ISBN 13: 9780700224708
Binding: Hardcover
Condition: New

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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.

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