## e-books in Non-Euclidean Geometries category

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

by

**John William Withers**-

**Open Court Publishing Co.**,

**1904**

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 ...

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**1967**views)

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

by

**Roberto Bonola**-

**Open Court Publishing Company**,

**1912**

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.

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**4561**views)

**Hyperbolic Geometry**

by

**J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry**-

**MSRI**,

**1997**

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.

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**4045**views)

**The Elements of Non-Euclidean Plane Geometry and Trigonometry**

by

**Horatio Scott Carslaw**-

**Longmans, Green and co.**,

**1916**

In this book the author has attempted to treat the Elements of Non-Euclidean Plane Geometry and Trigonometry in such a way as to prove useful to teachers of Elementary Geometry in schools and colleges. Hyperbolic and elliptic geometry are covered.

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**4003**views)

**The Elements of Non-Euclidean Geometry**

by

**D.M.Y. Sommerville**-

**G.Bell & Sons Ltd.**,

**1914**

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.

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**4733**views)

**The Elements Of Non-Euclidean Geometry**

by

**Julian Lowell Coolidge**-

**Oxford At The Clarendon Press**,

**1909**

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.

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**6801**views)

**Neutral and Non-Euclidean Geometries**

by

**David C. Royster**-

**UNC Charlotte**,

**2000**

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.

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**5543**views)

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

by

**Silvio Levy**-

**Cambridge University Press**,

**1999**

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.

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**7785**views)

**Non-Euclidean Geometry**

by

**Henry Manning**-

**Ginn and Company**,

**1901**

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.

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**8357**views)