**Neutral and Non-Euclidean Geometries**

by David C. Royster

**Publisher**: UNC Charlotte 2000**Number of pages**: 145

**Description**:

In this course you 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. We will learn one of the Fundamental Theorems of Mathematics that many students never get to see.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**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.

(

**7025**views)

**Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems**

by

**John William Withers**-

**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 ...

(

**7408**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.

(

**9968**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.

(

**12203**views)