**The Elements of Non-Euclidean Geometry**

by D.M.Y. Sommerville

**Publisher**: G.Bell & Sons Ltd. 1914**ISBN/ASIN**: 0486442225**Number of pages**: 158

**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 Geometries**

by

**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.

(

**6900**views)

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

by

**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.

(

**5890**views)

**The Elements Of Non-Euclidean Geometry**

by

**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.

(

**7996**views)

**Geometry with an Introduction to Cosmic Topology**

by

**Mike Hitchman**

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.

(

**2086**views)