Hyperbolic Geometry
by J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry
Publisher: MSRI 1997
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
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.
(6379 views)
The Eightfold Way: The Beauty of Klein's Quartic Curveby Silvio Levy - Cambridge University Press
Felix Klein discovered in 1879 that the surface that we now call the Klein quartic has many remarkable properties, including an incredible 336-fold symmetry. This volume explores the rich tangle of properties surrounding this multiform object.
(9511 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.
(6840 views)
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.
(5813 views)