The Elements Of Non-Euclidean Geometry
by Julian Lowell Coolidge
Publisher: Oxford At The Clarendon Press 1909
Number of pages: 282
Chapters Include: Foundation For Metrical Geometry In A Limited Region; Congruent Transformations; The Three Hypotheses; The Introduction Of Trigonometric Formulae; Analytic Formulae; Consistency And Significance Of The Axioms; The Geometric And Analytic Extension Of Space; The Groups Of Congruent Transformations; Point, Line, And Plane Treated Analytically; The Higher Line Geometry; The Circle And The Sphere; Conic Sections; Quadric Surfaces; Areas And Volumes; Introduction To Differential Geometry; etc.
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by Henry Manning - 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.
by David C. Royster - 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.
by D.M.Y. Sommerville - 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.
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.