Neutral and Non-Euclidean Geometries
by David C. Royster
Publisher: UNC Charlotte 2000
Number of pages: 145
Description:
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.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
The Elements of Non-Euclidean Plane Geometry and Trigonometryby Horatio Scott Carslaw - Longmans, Green and co.
In this book the author has attempted to treat the Elements of Non-Euclidean Plane Geometry and Trigonometry in such a way as to prove useful to teachers of Elementary Geometry in schools and colleges. Hyperbolic and elliptic geometry are covered.
(9601 views)
Non-Euclidean Geometry: A Critical and Historical Study of its Developmentby 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.
(9865 views)
Geometry with an Introduction to Cosmic Topologyby 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.
(6956 views)
The Elements of Non-Euclidean Geometryby 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.
(10814 views)