Geometry with an Introduction to Cosmic Topology
by Mike Hitchman
Number of pages: 177
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.
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by Julian Lowell Coolidge - 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.
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.
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 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.