e-books in Non-Euclidean Geometries category
![Book cover: Geometry with an Introduction to Cosmic Topology](images/11622.jpg)
by Mike Hitchman , 2017
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.
(7136 views)
![Book cover: Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems](images/10874.jpg)
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 ...
(7492 views)
![Book cover: Non-Euclidean Geometry: A Critical and Historical Study of its Development](images/8809.jpg)
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.
(10086 views)
![Book cover: Hyperbolic Geometry](images/8005.jpg)
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.
(11093 views)
![Book cover: The Elements of Non-Euclidean Plane Geometry and Trigonometry](images/7839.jpg)
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.
(9770 views)
![Book cover: The Elements of Non-Euclidean Geometry](images/6818.jpg)
by D.M.Y. Sommerville - G. Bell & Sons Ltd. , 1919
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.
(11020 views)
![Book cover: The Elements Of Non-Euclidean Geometry](images/4725.jpg)
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.
(12276 views)
![Book cover: Neutral and Non-Euclidean Geometries](images/4686.jpg)
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.
(12035 views)
![Book cover: Non-Euclidean Geometry](images/3184.jpg)
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.
(14570 views)