Non-Euclidean Geometries

e-books in Non-Euclidean Geometries category

Book cover: Geometry with an Introduction to Cosmic TopologyGeometry with an Introduction to Cosmic Topology
by ,
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.
Book cover: Non-Euclidean Geometry: A Critical and Historical Study of its DevelopmentNon-Euclidean Geometry: A Critical and Historical Study of its Development
by - 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.
Book cover: Hyperbolic GeometryHyperbolic Geometry
by - 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.

Book cover: The Elements of Non-Euclidean Plane Geometry and TrigonometryThe Elements of Non-Euclidean Plane Geometry and Trigonometry
by - 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.
Book cover: The Elements of Non-Euclidean GeometryThe Elements of Non-Euclidean Geometry
by - G. Bell & Sons Ltd. ,
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.
Book cover: The Elements Of Non-Euclidean GeometryThe Elements Of Non-Euclidean Geometry
by - 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.
Book cover: Neutral and Non-Euclidean GeometriesNeutral and Non-Euclidean Geometries
by - UNC Charlotte ,
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.
Book cover: Non-Euclidean GeometryNon-Euclidean Geometry
by - 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.