**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:

**Read online**

(online html)

## Similar books

**Non-Euclidean Geometry**

by

**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.

(

**9737**views)

**The Eightfold Way: The Beauty of Klein's Quartic Curve**

by

**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.

(

**8837**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.

(

**5761**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 ...

(

**3252**views)