**Geometry with an Introduction to Cosmic Topology**

by Mike Hitchman

2017**Number of pages**: 177

**Description**:

This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who have completed a multivariable calculus course and are ready for a course in which to practice habits of thought needed in advanced courses of the undergraduate mathematics curriculum. The text is also suited to independent study.

Download or read it online for free here:

**Download link**

(2.3MB, PDF)

## Similar books

**Hyperbolic Geometry**

by

**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.

(

**4440**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.

(

**4988**views)

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

by

**Horatio Scott Carslaw**-

**Longmans, Green and co.**

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.

(

**4465**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.

(

**8180**views)