Logo

Non-Euclidean Geometry: A Critical and Historical Study of its Development

Large book cover: Non-Euclidean Geometry: A Critical and Historical Study of its Development

Non-Euclidean Geometry: A Critical and Historical Study of its Development
by

Publisher: Open Court Publishing Company
ISBN/ASIN: 0486600270
Number of pages: 292

Description:
Examines various attempts to prove Euclid's parallel postulate - by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: The Eightfold Way: The Beauty of Klein's Quartic CurveThe Eightfold Way: The Beauty of Klein's Quartic Curve
by - 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.
(9760 views)
Book cover: Hyperbolic GeometryHyperbolic Geometry
by - 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.
(6200 views)
Book cover: Non-Euclidean GeometryNon-Euclidean Geometry
by - Ginn and Company
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.
(10811 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 ...
(4131 views)