Neutral and Non-Euclidean Geometries
by David C. Royster
Publisher: UNC Charlotte 2000
Number of pages: 145
In this course you are introduced, or re-introduced, to the method of Mathematical Proof. You will be introduced to new and interesting areas in Geometry, with most of the time spent on the study of Hyperbolic Geometry. We will learn one of the Fundamental Theorems of Mathematics that many students never get to see.
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by D.M.Y. Sommerville - G.Bell & Sons Ltd.
Renowned for its lucid yet meticulous exposition, this text follows the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to such advanced topics as inversion and transformations.
by Mike Hitchman
This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who completed a multivariable calculus course and are ready to practice habits of thought needed in advanced undergraduate courses.
by Roberto Bonola - Open Court Publishing Company
Examines various attempts to prove Euclid's parallel postulate - by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.
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This book gives a simple and direct account of the Non-Euclidean Geometry, and one which presupposes but little knowledge of Mathematics. The entire book can be read by one who has taken the mathematical courses commonly given in our colleges.