The Elements of Non-Euclidean Geometry
by D.M.Y. Sommerville
Publisher: G. Bell & Sons Ltd. 1919
ISBN/ASIN: 0486442225
Number of pages: 300
Description:
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. It features the relation between parataxy and parallelism, the absolute measure, the pseudosphere, and Gauss' proof of the defect-area theorem.
Download or read it online for free here:
Download link
(multiple formats)
Download mirrors:
Mirror 1
Similar books
Neutral and Non-Euclidean Geometriesby David C. Royster - 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)
Non-Euclidean Geometryby Henry Manning - 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.
(14377 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.
(10783 views)
The Elements Of Non-Euclidean Geometryby Julian Lowell Coolidge - Oxford At The Clarendon Press
Chapters include: Foundation For Metrical Geometry In A Limited Region; Congruent Transformations; Introduction Of Trigonometric Formulae; Analytic Formulae; Consistency And Significance Of The Axioms; Geometric And Analytic Extension Of Space; etc.
(12136 views)