Logo

Hyperbolic Geometry by J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry

Small book cover: Hyperbolic Geometry

Hyperbolic Geometry
by

Publisher: MSRI
Number of pages: 57

Description:
These notes are intended as a relatively quick introduction to hyperbolic geometry. They review the wonderful history of non-Euclidean geometry. They give five different analytic models for and several combinatorial approximations to non-Euclidean geometry by means of which the reader can develop an intuition for the behavior of this geometry.

Download or read it online for free here:
Download link
(570KB, PDF)

Similar books

Book cover: Neutral and Non-Euclidean GeometriesNeutral and Non-Euclidean Geometries
by - UNC Charlotte
In this course the students 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.
(11837 views)
Book cover: Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical SystemsEuclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems
by - 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 ...
(7335 views)
Book cover: Non-Euclidean Geometry: A Critical and Historical Study of its DevelopmentNon-Euclidean Geometry: A Critical and Historical Study of its Development
by - 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.
(9862 views)
Book cover: Geometry with an Introduction to Cosmic TopologyGeometry with an Introduction to Cosmic Topology
by
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.
(6954 views)