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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.
(760 views)

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.
(4802 views)
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.
(4255 views)
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.
(4245 views)
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.
(5077 views)
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.
(7004 views)
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.
(5824 views)
Book cover: The Eightfold Way: The Beauty of Klein's Quartic CurveThe Eightfold Way: The Beauty of Klein's Quartic Curve
by - 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.
(7996 views)
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.
(8630 views)