Geometry with an Introduction to Cosmic Topology
by Mike Hitchman
2017
Number of pages: 177
Description:
This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who have completed a multivariable calculus course and are ready for a course in which to practice habits of thought needed in advanced courses of the undergraduate mathematics curriculum. The text is also suited to independent study.
Download or read it online for free here:
Download link
(2.3MB, PDF)
Similar books
Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systemsby John William Withers - Open Court Publishing Co.
The parallel postulate is the only distinctive characteristic of Euclid. To pronounce upon its validity and general philosophical significance without endeavoring to know what Non-Euclideans have done would be an inexcusable blunder ...
(8010 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.
(10587 views)
Hyperbolic Geometryby J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry - MSRI
These notes are intended as a relatively quick introduction to hyperbolic geometry. They review the wonderful history of non-Euclidean geometry. They develop a number of the properties that are particularly important in topology and group theory.
(12221 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.
(11601 views)